•NRLF 


eaa 

U5 

i9ia 


STANDARD  FIELD  TABLES 


GENERAL  LAND  OFFICE 


LIBRARY 

OF  THE 

UNIVERSITY  OF  CALIFORNIA. 

©IFT    OF 


Class 


GENERAL  LAND  OFFICE 

' 

TABLES  AND  FORMULAS 

FOR  THE  USE  OF 

U.  S.  SURVEYORS  AND  ENGINEERS 

ON 

PUBLIC  LAND  SURVEYS 

A  SUPPLEMENT  TO   THE 
•MANUAL  OF  SURVEYING  INSTRUCTIONS 


COMPILED  UNDER  THE  DIRECTION  OP 

FRED  DENNETT 

COMMISSIONER  OF  THE  GENERAL  LAND  OFFICE 


WASHINGTON 

GOVERNMENT  PRINTING  OFFICE 
1910 


"Is- 


United  States  surveyors  and  engineers,  and  all  others  who  may  find  it  convenient 
to  use  the  tables  included  in  this  volume,  are  requested  to  report  to  the  Commissioner 
of  the  General  Land  Office,  Washington,  D.  C.,  any  errors  detected  in  the  tables  as 
printed. 


CONTENTS. 


No.  Page. 

1.  Units  of  linear  measure,  units  of  area .  expansion  of  steel  tapes,  and  conver- 

sion tables  chains  to  feet  and  feet  to  chains 5 

2.  Reduction  in  latitude  to  south  boundary  of  township,  and  corrections  for 

convei'gency  within  a  township 6 

3.  Traverse  table,  for  the  correction  of  random  lines 7 

4.  Traverse  tables 8 

5.  Correction  of  error  in  stadia  wire  interval 98 

6.  Stadia  coefficients,  vertical  rod 99 

7.  Natural  sines  and  cosines. 106 

8.  Natural  tangents  and  cotangents 115 

9.  Logarithmic  sines,  cosines,  tangents,  and  cotangents 127 

10.  Logarithms  of  numbers 172 

11.  Convergency  of  meridians,  and  differences  of  latitude  and  longitude 199 

12.  Azimuths  of  the  tangent  to  the  parallel 200 

13.  Offsets  from  the  tangent  to  the  parallel 201 

14.  Azimuths  of  the  secant .- 202 

15.  Offsets  from  the  secant  to  the  parallel 203 

16.  Lengths  of  arcs  of  the  earth's  surface : 204 

17.  Apparent  time  of  sunrise  and  sunset. .' 205 

18.  Conversion  tables,  degrees  to  time,  and  time  to  degrees 206 

19.  Sidereal  conversions,  and  reductions  to  the  local  mean  time  of  upper  culmi- 

nation of  Polaris 207 

20.  Mean  refractions  in  zenith  distance 208 

21.  Coefficients  to  apply  to  mean  refractions  for  variations  in  barometer  and 

temperature 209 

22.  Coefficients  for  computing  errors  in  azimuth,  due  to  small  errors  in  declina- 

tion or  latitude 210 

23.  Mean  refractions  in  polar  distance 211 

24.  Trigonometric  formulas  for  the  solution  of  plane  triangles 218 

25.  Trigonometric  formulas  for  the  solution  of  stadia  measurements,  observa- 

tions for  time,  latitude,  and  azimuth,  and  problems  in  convergency 220 


200632 


Standard  Field  Tables. 


TABLE  1.— UNITS  OF  MEASURE,  ETC. 

UNITS  OF  LINEAR  MEASURE.  UNITS  OP  AREA. 


1  chain=  100  links. 

=  66  feet. 
1  mile  =  80  chains. 

=  5,2SO  feet. 


1  acre=  10  square  chains. 
=>  43,560  square  feet. 
1  square  mile=  640  acres. 


EXPANSION  OP  STEEL  TAPES. 
The  coefficient  of  expansion  of  steel  tapes=  0.0000065  for  1°  F. 

CONVERSION  TABLES. 
Chains  to  feet.  Feet  to  chains . 


Feet  to  links. 


1 

1.5 

2 

3.0 

3 

4.5 

4 

6.1 

5 

7.6 
9  1 

7 

io!e 

8 

12.1 

9 

13.6 

10 

15.2 

TABLE  2.— REDUCTION   IN   LATITUDE   TO  SOUTH 
BOUNDARY   OF  TOWNSHIP. 


Miles. 

0 

1 

2 

3 

4 

5 

0 

0.0 

0.9 

1.7 

2.6 

/ 
3.5 

4.3 

10 

0.1 

.0 

1.8 

2.7 

3.6 

4.4 

20 

0.2 

.1 

2.0 

2.8 

3.7 

4.6 

30 

0.3 

.2 

2.1 

2.9 

3.8 

4.7 

40 

0.4 

.3 

2.2 

3.0 

3.9 

4.8 

50 

0.5 

.4 

2.3 

3.1 

4.0 

4.9 

60 

0.6 

.5 

2.4 

3.2 

4.1 

5.0 

70 

0.8 

.6 

2.5 

3.4 

4.2 

r    1 

80 

0.9 

1.7 

2.6 

3.5 

4.3 

5.2 

CORRECTIONS  FOR  CONVERGENCY  WITHIN  A  TOWNSHIP. 


Lat. 

Imi. 

2  mi. 

3  mi. 

4  mi. 

5  mi. 

0       0 

25  to  30 

0 

1 

1 

2 

2 

30  to  35 

1 

1 

2 

2 

3 

35  to  40 

1 

1 

2 

3 

3 

40  to  45 

1 

2 

2 

3 

4 

45  to  50 

1 

2 

3 

4 

5 

50  to  55 

1 

2 

3 

5 

6 

55  to  60 

1 

3 

4 

5 

7 

60  to  65 

2 

3 

5 

7 

8 

65  to  70 

2 

4 

G 

8 

10 

TABLE  «.— TRAVERSE  TABLE  FOtt  THE  CORRECTION  OF  RANDOM  LINES. 


Distance  in  chains. 

JO       2O       3O       4O        50         60          70          8O          90        10O 

0° 

Departure  in  links. 

0 

0.0 

0.0 

0.0 

0.0 

0.0 

0.0 

0.0 

0.0 

0.0 

0.0 

60 

1 

0.3 

0.6 

0.9 

1.2 

1.5 

1.7 

2.0 

2.3 

2.6 

2.9 

59 

2 

0.6 

1.2 

1.7 

2.  3 

2.9 

3.5 

4.1 

4.7 

5.2 

5.8 

58 

3 

0.9 

1.7 

2.6 

3.5 

4.4 

5.2 

6.1 

7.0 

7.9 

8.7 

57 

4 

1.2 

2.3 

3.5 

4.7 

5.8 

7.0 

8.1 

9.3 

10.5 

11.6 

56 

5 

1.5 

2.9 

4.4 

5.8 

7.3 

8.7 

10.2 

11.6 

13.1 

14.5 

55 

6 

1.7 

3.5 

5.2 

7.0 

8.7 

10.5 

12.2 

14.0 

15.7 

17.5 

54 

7 

2.0 

4.1 

6.1 

8.1 

10.2  |     12.2 

14.3 

16.3 

18.3 

20.4 

53 

8 

2.3 

4.7 

7.0 

9.3 

11.6       14.0 

16.3 

18.6 

20.9 

23.3 

52 

9 

2.6 

5.2 

7.9 

10.5 

13.  1       15.  7 

18.3 

20.9 

23.6 

26.2 

51 

10 

2.9 

5.8 

8.7 

11.6 

14.  5       17.  5 

20.4 

23.3 

26.2 

29.1 

50 

11 

3.2 

6.4 

9.6 

12.8 

16.  0       19.  2 

22.4 

25.  6 

28.8 

32.0 

49 

12 

3.5 

7.0 

10.5 

14.0 

17.  5       20.  9 

24.4 

27.9 

31.4 

34.9  1     48 

13 

3.8 

7.6 

11.3 

15.1 

18.  9       22.  7 

26.5 

30.3 

34.  0 

37.8  I     47 

14 

4.1 

8.1 

12.2 

16.3 

20.4  1    24.4 

28.5 

32.6 

36.7 

40.  7  !     46 

15 

4.4 

8.7 

13.1 

17.5 

21.8 

26.2 

30.  5 

34.9 

39.3 

43.6 

45 

16 

4.7 

9.3 

14.0 

18.6 

23.3 

27.9 

32.  (i 

37.2 

41.9 

46.5 

44 

17 

4.9 

9.9 

14.8 

19.8 

24.7 

29.'  7 

34.6 

39.6 

44.5 

49.5 

43 

18 

5.2 

10.5 

15.7 

20.9 

26.2 

31.4 

36.7 

41.9 

47.1 

52.4 

42 

19 

5.5 

11.1 

16.6 

22.1 

27.6 

33.  2 

38.7 

44.2 

49.7 

55.3 

41 

20 

5.8 

11.6 

17.5 

23.  3 

29.1 

34.9 

40.7 

46.5 

52.4 

58.2 

40 

21 

6.1 

12.2 

18.3 

24.4 

30.  5 

36.7 

42.8 

48.9 

55.0 

61.1 

39 

22 

6.4 

12.8 

19.2 

25.  6 

32.0 

38.4 

44.8 

51.2 

57.6 

64.0 

38 

23 

6.7 

13.4 

20.1 

26.8 

33.5 

40.1 

46.8 

53.5 

60.2 

66.9 

37 

24 

7.0 

14.0 

20.9 

27.9 

34.  9 

41.9 

48.9 

55.9 

62.8 

36 

25 

7.3 

14.5 

21.8 

29.  1 

36.4 

43.6 

50.9 

58.2 

65.4 

72^7 

35 

26 

7.6 

15.1 

22.7 

30.  3 

37.8 

45.4 

52.9 

60.5 

68.1 

75.6 

34 

27 

7.9 

15.7 

23.6 

31.4 

39.  3 

47.1 

55.0 

62.8 

70.7 

78.5 

33 

28 

8.1 

16.3 

24.4 

32.6 

40.7       48.9 

57.0 

65.2 

73.3 

81.4 

32 

29 

8.4 

16.9 

2.5.3 

33.7 

42.2       50.6 

59.0 

67.5 

75.9 

84.4 

31 

30 

8.7 

17.5 

26.  2  j  34.  9 

43.  6       52.  1 

61.1 

78.5 

87.3 

30 

31 

9.0 

18.0 

27.  1  !  36.  1 

45.1  ;     54.1 

63.1 

72.1 

81.2 

90.2 

29 

32 

9.3 

18.6 

27.9  !  37.2 

46.5  i     55.8 

60.  2 

74.5       83.8 

93.1 

28 

33 

9.6 

19.2 

28.  8  .  38.  4 

48.  0       57.  6 

67.2 

76.8 

86.4 

96.0 

27 

34 

9.9 

19.8 

29.7 

39.6 

49.5 

59.3 

69.2 

79.1 

89.0 

98.9 

26 

35 

10.2 

20.4 

30.5 

40.7 

50.9 

61.1 

71.3 

81.4 

91.6 

101.8 

25 

36 

10.5 

20.9 

31.4 

41.9 

52.4 

62.8 

73.3 

83.8 

94.2 

104.7 

24 

37 

10.8 

21.5 

32.3 

43.1 

53.8 

64.6 

75.3 

86.1 

96.9 

107.6 

2.3 

38 

11.1 

22.1 

33.2 

44.2 

55.  3       66.  3 

77.4 

88.4 

99.5 

110.5 

22 

39 

11.3 

22.7 

34.0 

45.4 

56.7 

68.  1 

79.4 

90.8 

102.1 

113.4 

21 

40 

11.6 

23.3 

34.9 

46.5 

58.2 

69.8 

81.4 

93.1 

104.7 

116.4 

20 

41 

11.9 

23.9 

35.8 

47.7 

59.6  :    71.6 

83.  5       95.  4 

107.3 

119.3 

19 

42 

12.2 

24.4 

36.7 

48.9 

61.  1       73.  3 

85.  5  i    97.  7 

110.0 

122.2 

18 

43 

12.5 

25.0 

37.5 

50.0 

62.5 

75.0 

87.  6     100.  1 

112.6 

125.1 

17 

44 

12.8 

25.6 

38.4 

51.2 

64.  0       76.  8 

89.6  ;  102.4 

115.2 

128.0 

16 

45 

13.1 

26.2 

39.3 

52.4 

65.  4       78.  5 

91.6 

104.7 

117.8 

130.  9 

15 

46 

13.4 

26.8 

40.1 

53.5 

66.  9       80.  3 

93.7 

107.0 

120.4 

133.8 

14 

47 

13.7 

27.3 

41.0 

54.7 

68.4       82.0 

95.7 

109.4 

123.0 

136.  7 

13 

48 

14.0 

27.9 

41.9 

55.8 

69.  8       83.  8 

97.7 

111.7 

125.  7 

139.6 

12 

49 

14.3 

28.5 

42.8 

57.0 

71.3       85.5 

99.8 

114.0 

128.3 

142.5 

11 

50 

14.5 

29.1 

43.6 

58.2 

72.  7       87.  3 

101.8 

116.4 

130.  9 

145.4 

10 

51 

14.8 

29.7 

44.5 

59.3 

74.2  i    89.0 

103.8 

118.7  ;  133.5 

148.3 

9 

52 

15.1 

30.3 

45.4 

60.5 

75.  6       90.  8 

105.9 

121.  0     136.  1 

151.3 

8 

53 

15.4 

30.8 

46.2 

61.7 

77.  1       92.  5 

107.9 

123.3 

138.7 

154.2 

7 

54 

15.7 

31.4 

47.1 

62.8 

78.  5       94.  2 

110.0 

125.7 

141.4 

157.1 

6 

55 

16.0 

32.  0 

48.0 

64.0 

80.0  i    96.0 

112.0 

128.0 

144.0 

160.0 

5 

56 

16.3 

32.6 

48.9 

65.2 

81.4  i    97.7 

114.0 

130.3 

146.6 

162.9 

4 

57 

16.6 

33.2 

49.7 

66.3 

82.9  !    99.5 

116.1 

132.6 

149.2 

165.8 

3 

58 

16.9 

33.7 

50.6 

67.5 

84.4     101.2 

118.1 

135.0 

151.8 

168.7 

2 

59 

17.2 

34.3 

51.5 

68.6 

85.  8     103.  0 

120.1 

137.3 

154.5  !  171.6 

1 

60 

17.5 

34.9 

52.4 

69.  8       87.  3     104.  7 

122.2 

139.6 

157.1     174.5 

0 

Latitude  in  links. 

89° 

TABLE  4.— TRAVEHSE  TABLE. 


b 

1 

M°. 

H& 

*A°. 

d 

1 

§ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

1.00 

0.00 

1.00 

0.01 

1.00 

0.01 

1 

2 

2.00 

0.01 

2.00 

0.02 

2.00 

0.03 

2 

3 

3.00 

0.01 

3.00 

0.03 

3.00 

0.04 

3 

4 

4.00 

0.02 

4.00 

0.03 

4.00 

0.05 

4 

5 

5.00 

0.02 

5.00 

0.04 

5.00 

0.07 

5 

6 

6.00 

0.03 

6.00 

0.05 

6.00 

0.08 

6 

7 

7.00 

0.03 

7.00 

0.06 

7.00 

0.09 

7 

8 

8.00 

0.03 

8.00 

0.07 

8.00 

0.10 

8 

9 

9.00 

0.04 

9.00 

0.08 

9.00 

0.12 

9 

10 

10.00 

0.04 

10.00 

0.09 

10.00 

0.13 

10 

11 

11.00 

0.05 

11.00 

0.10 

11.00 

0.14 

11 

12 

12.00 

0.05 

12.00 

0.10 

12.00 

0.16 

12 

13 

13.00 

0.06 

13.00 

0.11 

13.00 

0.17 

13 

14 

14.00 

0.06 

14.00 

0.12 

14.00 

0.18 

14 

15 

15.00 

0.07 

15.00 

0.13 

15.00 

0.20 

15 

16 

16.00 

0.07 

16.00 

0.14 

16.00 

0.21 

16 

17 

17.00 

0.07 

17.00 

0.15 

17.00 

0.22 

17 

18 

18.00 

0.08 

18.00 

0.16 

18.00 

0.24 

18 

19 

19.00 

0.08 

19.00 

0.17 

19.00 

0.25 

19 

20 

20.00 

0.09 

20.00 

0.17 

20.00 

0.26 

20 

21 

21.00 

0.09 

21.00 

0.18 

21.00 

0.27 

21 

22 

22.00 

0.10 

22.00 

0.19 

22.00 

0.29 

22 

23 

23.00 

0.10 

23.00 

0.20 

23.00 

0.30 

23 

24 

24.00 

0.10 

24.00 

0.21 

24.00 

0.31 

24 

25 

25.00 

0.11 

25.00 

0.22 

25.00 

0.33 

25 

26 

26.00 

0.11 

26.00 

0.23 

26.00 

0.34 

26 

27 

27.00 

0.12 

27.00 

0.24 

27.00 

0.35 

27 

28 

28.00 

0.12 

28.00 

0.24 

28.00 

0.37 

28 

29 

29.00 

0.13 

29.00 

0.25 

29.00 

0.38 

29 

30 

30.00 

0.13 

30.00 

0.26 

30.00 

0.39 

30 

31 

31.00 

0.14 

31.00 

0.27 

31.00 

0.41 

31 

32 

32.00 

0.14 

32.00 

0.28 

32.00 

0.42 

32 

33 

33.00 

0.14 

33.00 

0.29 

33.00 

0.43 

33 

34 

34.00 

0.15 

34.00 

0.30 

34.00 

0.45 

34 

35 

35.00 

0.15 

35.00 

0.31 

35.00 

0.46 

35 

36 

36.00 

0.16 

36.  00 

0.31 

36.00 

0.47 

3£ 

37 

37.00 

0.16 

37.00 

0.32 

37.00 

0.48 

37 

38 

38.00 

0.17 

38.00 

0.33 

38.00 

0.50 

38 

39 

39.00 

0.17 

39.00 

0.34 

39.00 

0.51 

39 

40 

40.00 

0.17 

40.00 

0.35 

40.00 

0.52 

40 

41 

41.00 

0.18 

41.00 

0.36 

41.00 

0.54 

41 

42 

42.00 

0.18 

42.00 

0.37 

42.00 

0.55 

42 

43 

43.00 

0.19 

43.00 

0.38 

43.00 

0.56 

43 

44 

44.00 

0.19 

44.00 

0.38 

44.00 

0.58 

44 

45 

45.00 

0.20 

45.00 

0.39 

45.00 

0.59 

45 

46 

46.00 

0.20 

46.00 

0.40 

46.00 

0.60 

46 

47 

47.00 

0.21 

47.00 

0.41 

47.00 

0.62 

47 

48 

48.00 

0.21 

48.00 

0.42 

48.00 

0.63 

48 

49 

49.00 

0.21 

49.00 

0.43 

49.00 

0.64 

49 

50 

50.00 

0.22 

50.00 

0.44 

50.00 

0.65 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

"oo 

5 

89%°. 

89^°. 

89M". 

Q 

TABLE  4.— TRAVERSE  TABLE. 


g 

M 

• 

M 

i 

M 

a 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

51.00 

0.22 

51.00 

0.45 

51.00 

0.67 

51 

52 

52.00 

0.23 

52.00 

0.45 

52.00 

0.68 

52 

53 

53.00 

0.23 

53.00 

0.46 

53.00 

0.  69 

53 

54 

54.00 

0.24 

54.00 

0.47 

54.00 

0.71 

54 

55 

55.00 

0.24 

55.00 

0.48 

55.00 

0.72 

55 

56 

56.00 

0.24 

5(i.  00 

0.49 

56.00 

0.73 

56 

57 

57.00 

0.25 

57^00 

0.50 

57.00 

0.75 

57 

58 

58.00 

0.25 

58.00 

0.51 

57.99 

0.76 

58 

59 

59.00 

0.26 

59.00 

0.51 

58.99 

0.77 

59 

60 

60.00 

0.26 

60.00 

0.52 

59.99 

0.79 

60 

61 

61.00 

0.27 

61.00 

0.53 

60.99 

0.80 

61 

62 

62.00 

0.27 

62.00 

0.54 

61.99 

0.81 

62 

63 

63.00 

0.27 

63.00 

0.55 

62.  99 

0.82 

63 

64 

64.00 

0.28 

64.00 

0.56 

63.  99 

0.84 

64 

65 

65.00 

0.28 

65.00 

0.57 

64.  99 

0.85 

65 

66 

66.00 

0.29 

66.00 

0.58 

65.99 

0.86 

66 

67 

67.00 

0.29 

67.00 

0.58 

66.99 

0.88 

67 

68 

68.00 

0.30 

68.00 

0.59 

67.99 

0.89 

68 

69 

69.00 

0.30 

69.00 

0.60 

68.99 

0.90 

69 

70 

70.00 

0.31 

70.00 

0.61 

69.99 

0.92 

70 

71 

71.00 

0.31 

71.00 

0.62 

70.99 

0.93 

71 

72 

72.00 

0.31 

72.00 

0.63 

71.99 

0.94 

72 

73 

73.00 

0.32 

73.00 

0.64 

72.99 

0.96 

73 

74 

74.00 

0.32 

74.00 

0.65 

73.99 

0.97 

74 

75 

75.00 

0.33 

75.00 

0.65 

74.  99 

0.98 

75 

76 

76.00 

0.33 

76.00 

0.66 

75.99 

0.99 

76 

77 

77.00 

0.34 

77.00 

0.67 

76.99 

1.01 

77 

78 

78.00 

0.34 

78.00 

0.68 

77.99 

.02 

78 

79 

79.00 

0.34 

79.00 

0.69 

78.99 

.03 

79 

80 

80.00 

0.35 

80.00 

0.70 

79.99 

.05 

80 

81 

81.00 

0.35 

81.00 

0.71 

80.99 

.06 

81 

82 

82.00 

0.36 

82.00 

0.72 

81.99 

.07 

82 

83 

83.00 

0.36 

83.00 

0.72 

82.99 

.09 

83 

84 

84.00 

0.37 

84.00 

0.73 

83.99 

.10 

84 

85 

85.00 

0.37 

85.00 

0.74 

84.99 

.11 

85 

86 

86.00 

0.38 

86.00 

0.75 

85.99 

.13 

86 

87 

87.00 

0.38 

87.00 

0.76 

86.99 

.14 

87 

88 

88.00 

0.38 

88.00 

0.77 

87  99 

.15 

88 

89 

89.00 

0.39 

89.00 

0.78 

88.99 

.16 

89 

90 

90.00 

0.39 

90.00 

0.79 

89.99 

.18 

90 

91 

91.00 

0.40 

91.00 

0.79 

90.99 

.19 

91 

92 

92.00 

0.40 

92.00 

0.80 

91.99 

.20 

'    92 

93 

93.00 

0.41 

93.00 

0.81 

92.99 

.22 

93 

94 

94.00 

0.41 

94.00 

0.82 

93.99 

.23 

94 

95 

95.  00 

0.41 

95.00 

0.83 

94.99 

.24 

95 

98 

96.00 

0.42 

96.00 

0.84 

95.99 

.26 

96 

97 

97.00 

0.42 

97.00 

0.85 

96.99 

.27 

97 

98 

98.00 

0.43 

98.00 

0.86 

97.99 

.28 

98 

99 

99.00 

0.43 

99.00 

0.86 

98.99 

.30 

99 

100 

100.00 

0.44 

100.00 

0.87 

99.99 

1.31 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

• 

§ 

+j 

-S 

Q 

8W/. 

,  • 

r« 

my4 

S 

TABLE  4. -TRAVERSE  TABLE. 


q 

1°. 

1 

4°- 

1 

'l-0- 

1 

K\ 

I 

P 
a 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

i 

1.00 

0.02 

1.00 

0.02 

1.00 

0.03 

1.00 

0.  03 

i 

2 

2.00 

0.03 

2.00 

0.04 

2.00 

0.05 

2.00 

0.06 

2 

3 

3.00 

0.05 

3.00 

0.07 

3.00 

0.08 

3.00 

0.09 

3 

4 

4.00 

0.07 

4.00 

0.09 

4.00 

0.10 

4.00 

0.12 

4 

5 

5.00 

0.09 

5.00 

0.11 

5.00 

0.13 

5.00 

0.15 

5 

6 

6.00 

0.10 

6.00 

0.13 

6.00 

0.16 

6.00 

0.18 

6 

7 

7.00 

0.12 

7.00 

0.15 

7.00 

0.18 

7.00 

0.21 

7 

8 

8.00 

0.14 

8.00 

0.17 

8.00 

0.21 

8.00 

0.24 

8 

9 

9.00 

0.16 

9.00 

0.20 

9.00 

0.24 

9.00 

0.27 

9 

10 

10.00 

0.17 

10.00 

0.22 

10.00 

0.26 

10.00 

0.31 

10 

11 

11.00 

0.19 

11.00 

0.24 

11.00 

0.29 

10.99 

0.34 

11 

12 

12.00 

0.21 

12.00 

0.26 

12.00 

0.31 

11.99 

0.37 

12 

13 

13.00 

0.23 

13.00 

0.28 

13.  00 

0.34 

12.99 

0.40 

13 

14 

14.00 

0.24 

14.00 

0.31 

14.  00 

0.37 

13.99 

0.43 

14 

15 

15.00 

0.26 

15.00 

0.33 

14.99 

0.39 

14.99 

0.  4fi 

15 

16 

16.00 

0.28 

16.00 

0.35 

15.99 

0.42 

15.99 

0.49 

16 

17 

17.00 

0.30 

17.00 

0.37 

16.  99 

0.45 

16.99 

0.52 

17 

18 

18.00 

0.31 

18.00 

0.39 

17.99 

0.47 

17.99 

0.55 

18 

19 

19.00 

0.33 

19.00 

0.41 

18.99 

0.50 

18.99 

0.58 

19 

20 

20.00 

0.35 

20.00 

0.44 

19.99 

0.52 

19.99 

0.61 

20 

21 

21.00 

0.37 

21.00 

0.4G 

20.99 

0.55 

20.99 

0.64 

21 

22 

22.00 

0.38 

21.99 

0.48 

21.99 

0.58 

21.99 

0.67 

22 

23 

23.00 

0.40 

22.99 

0.50 

22.99 

0.60 

22.99 

0.70 

23 

24 

24.00 

0.42 

23.99 

0.52 

23.99 

0.63 

23.99 

0.73 

24 

25 

25.00 

0.44 

24.99 

0.55 

24.99 

0.65 

24.99 

0.76 

25 

26 

26.00 

0.45 

25.99 

0.57 

25.99 

0.68 

25.99 

0.79 

26 

27 

27.00 

0.47 

26.99 

0.59 

26.  99 

0.71 

26.99 

0.82 

27 

28 

28.00 

0.49 

27.99 

0.61 

27.  99 

0.73 

27.99 

0.86 

28 

29 

29.00 

0.51 

28.99 

0.63 

28.99 

0.76 

28.99 

0.89 

29 

30 

30.00 

0.52 

29.99 

0.65 

29.99 

0.79 

29.99 

0.92 

30 

31 

31.00 

0.54 

30.99 

0.68 

30.99 

0.81 

30.99 

0.95 

31 

32 

32.00 

0.56 

31.99 

0.70 

31.99 

0.84 

31.99 

0.98 

32 

33 

32.99 

0.58 

32.99 

0.72 

32.99 

0.86 

32.98 

1.01 

33 

34 

33.99 

0.59 

33.99 

0.74 

33.99 

0.89 

33.98 

1.04 

34 

35 

34.99 

0.61 

34.99 

0.76 

34.99 

0.92 

34.98 

1.07 

35 

36 

35.99 

0.63 

35.99 

0.79 

35.99 

0.94 

35.98 

1.10 

36 

37 

36.99 

0.65 

36.99 

0.81 

36.99 

0.97 

36.98 

1.13 

37 

38 

37.99 

0.66 

37.99 

0.83 

37.99 

0.99 

37.98 

1.16 

38 

39 

38.99 

0.68 

38.99 

0.85 

38.99 

1.02 

38.98 

.19 

39 

40 

39.99 

0.70 

39.99 

0.87 

39.99 

1.05 

39.98 

.22 

40 

41 

40.99 

0.72 

40.99 

0.89 

40.99 

1.07 

40.98 

.25 

41 

42 

'   41.99 

0.73 

41.99 

0.92 

41.99 

1.10 

41.98 

.28 

42 

43 

42.99 

0.75 

42.99 

0.94 

42.99 

1.13 

42.98 

.31 

43 

44 

43.99 

0.77 

43.  99 

0.96 

43.98 

1.15 

43.98 

.34 

44 

45 

44.99 

0.79 

44.99 

0.98 

44.98 

1.18 

44.98 

.37 

45 

46 

45.99 

0.80 

45.99 

1.00 

45.98 

1.20 

45.98 

.40 

46 

47 

46.99 

0.82 

46.99 

1.03 

46.98 

1.23 

46.98 

.44 

47 

48 

47.99 

0.84 

47.99 

1.05 

47.98 

1.26 

47.98 

.47 

48 

49 

48.99 

0.86 

48.99 

1.07 

48.98 

1.28 

48.98 

1.50 

49 

50 

49.99 

0.87 

49.99 

1.09 

49.98 

1.31 

49.98 

1.53 

50 

<u 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

P 

89' 

m 

£  • 

88} 

**. 

88} 

/o 
4    • 

| 

10 


TABLE  1.— TRAVERSE  TABLE. 


g 

i 

". 

t| 

I,1 

2°- 

15, 

a 

g 

P 
1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

i 

51 

50.99 

0.89 

50.99 

1.11 

50.98 

1.34 

50.98 

.56 

51 

52 

51.99 

0.91 

51.99 

1.13 

51.98 

.36 

51.98 

.59 

52 

53 

52.  99 

0.92 

52.99 

1.16 

52.98 

1.39 

52.98 

.62 

53 

54 

53.99 

0.94 

53.99 

1.18 

53.98 

.41 

53.97 

.65 

54 

55 

54.99 

0.96 

54.99 

1.20 

54.98 

.44 

54.97 

.68 

55 

56 

55.99 

0.98 

55.99 

1.22 

55.98 

.47 

55.97 

.71 

56 

57 

56.99 

0.99 

56.99 

1.24 

56.  98 

.49 

56.97 

.74 

57 

58 

57.99 

1.01 

57.99 

1.27 

57.98 

.52 

57.97 

.77 

58 

59 

58.99 

1.03 

58.99 

1.29 

58.98 

.54 

58.  97 

.80 

59 

00 

59.99 

1.05 

59.99 

1.31 

59.98 

.57 

59.97 

.83 

60 

61 

60.99 

1.06 

60.99 

1.33 

60.98 

.60 

60.97 

.86 

61 

62 

61.99 

1.08 

61.99 

1.35 

61.98 

.62 

61.97 

.89 

62 

t3 

62.99 

1.10 

62.99 

1.37 

62.  98 

.65 

62.97 

.92 

63 

64 

63.  99 

1.12 

63.98 

1.40 

63.  98 

.68 

63.  97 

1.95 

64 

65 

64.99 

1.13 

64.  98 

1.42 

64.  98 

.70 

64.97 

1.99 

65 

66 

65.  99 

1.15 

65.98 

1.44 

65.  98 

.73 

65.97 

2.02 

66 

67 

66.  99 

1.17 

6f>.  98 

1.46 

66.  98 

.75 

66.97 

2.05 

67 

68 

67.  99 

1.19 

67.  98 

1.48 

67.98 

.78 

67.97 

2.08 

68 

69 

68.  99 

1.20 

68.  98 

1.51 

68.98 

.81 

68.  97 

2.11 

69 

70 

69.99 

1.22 

69.98 

1.53 

69.98 

.83 

69.97 

2.14 

70 

71 

70.99 

1.24 

70.98 

1.55 

70.98 

.86 

70.97 

2.17 

71 

72 

71.99 

1.26 

71.  98 

1.57 

71.98 

.88 

71.97 

2.20 

72 

73 

72.99 

1.27 

72.98 

1.59 

72.97 

.91 

72.97 

2.23 

73 

74 

73.99 

1.29 

73.98 

l.(il 

73.  97 

.94 

73.97 

2.26 

74 

75 

74.99 

1.31 

74.98 

1.64 

74.97 

.96 

74.97 

2.29 

75 

76 

75.  99 

1.33 

75.98 

1.66 

75.97 

.99 

75.96 

2.32 

76 

77 

76.  99 

1.34 

76.98 

1.68 

76.  97 

2.02 

76.96 

2.35 

77 

78 

77.  99 

1.36 

77.98 

1.70 

77.97 

2.04 

77.96 

2.38 

78 

79 

78.99 

1.88 

78.  98 

1.72 

78.  97 

2.07 

78.96 

2.41 

79 

80 

79.99 

1.40 

79.98 

1.75 

79.97 

2.09 

79.96 

2.44 

80 

81 

80.99 

1.41 

80.98 

1.77 

80.97 

2.12 

80.96 

2.47 

81 

82 

81.99 

1.43 

81.98 

1.79 

81.97 

2.15 

81.96 

2.50 

82 

83 

82.  99 

1.45 

82.98 

1.81 

82.97 

2.17 

82.96 

2.53 

83 

84 

83.99 

1.47 

83.  98 

1.83 

83.97 

2.20 

83.96 

2.57 

84 

85 

84.99 

1.48 

84.98 

1.85 

84.97 

2.23 

84.96 

2.60 

85 

86 

85.99 

1.50 

85.98 

1.88 

85.  97 

2.25 

85.96 

2.63 

86 

87 

86.  99 

1.52 

86.  98 

1.90 

86.  97 

2.28 

86.96 

2.66 

87 

88 

87.99 

1.54 

87.98 

1.92 

87.97 

2.30 

87.96 

2.69 

88 

89 

88.99 

1.55 

88.  98 

1.94 

88.  97 

2.33 

88.  96 

2.72 

89 

90 

89.99 

1.57 

89.98 

1.96 

89.97 

2.30 

89.96 

2.75 

90 

91 

90.99 

1.59 

90.  98 

1.99 

90.97 

2.38 

90.96 

2.78 

91 

92 

91.99 

1.61 

91.98 

2.01 

91.97 

2.41 

91.96 

2.81 

92 

93 

92.99 

1.62 

92.98 

2.03 

92.97 

2.43 

92.% 

2.84 

93 

94 

93.99 

1.64 

93.98 

2.05 

93.  97 

2.46 

93.96 

2.87 

94 

95 

94.99 

1.66 

94.98 

2.07 

94.97 

2.49 

94.96 

2.90 

95 

96 

95.99 

1.68 

95.98 

2.09 

95.  97 

2.51 

95.  96 

2.93 

96 

97 

96.  99 

1.69 

96.98 

2.12 

96.97 

2.54 

96.95 

2.96 

97 

98 

97.99 

1.71 

97.98 

2.14 

97.97 

2.57 

97.95 

2.99 

98 

99 

98.98 

1.73 

98.98 

2.16 

98.97 

2.59 

98.  95 

3.02 

99 

100 

99.98 

1.75 

99.98 

2.18 

99.97 

2.62 

99.95 

3.05 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

c3 

a 

5 

89 

°. 

m 

t°- 

88> 

2°- 

88Js 

j 

i 

11 


TABLE  4.— TRAVERSE  TABLE. 


g 

2e 

2M 

2^ 

V/4 

0 

«•' 

5* 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P" 

1 

1 

1.00 

0.03 

1.00 

0.04 

1.00 

0.04 

1.00 

0.05 

1 

2 

2.00 

0.07 

2.00 

0.08 

2.00 

0.09 

2.00 

0.10 

2 

3 

3.00 

0.10 

3.00 

0.12 

3.00 

0.13 

3.00 

0.14 

3 

4 

4.00 

0.14 

4.00 

0.16 

4.00 

0.17 

4.00 

0.19 

4 

5 

5.00 

0.17 

5.00 

0.20 

5.00 

0.22 

4.99 

0.24 

5 

6 

6.00 

0.21 

6.00 

0.24 

5.99 

0.26 

5.99 

0.29 

6 

7 

7.00 

0.24 

6.99 

0.27 

6.99 

0.31 

6.99 

0.34 

7 

8 

7.99 

0.28 

7.99 

0.31 

7.99 

0.35 

7.99 

0.38 

8 

9 

8.99 

0.31 

8.99 

0.35 

8.99 

0.39 

8.99 

0.43 

9 

10 

9.99 

0.35 

9.99 

0.39 

9.99 

0.44 

9.99 

0.48 

10 

11 

10.99 

0.38 

10.99 

0.43 

10.99 

0.48 

10.99 

0.53 

11 

12 

11.99 

0.42 

11.99 

0.47 

11.99 

0.52 

11.99 

0.58 

12 

13 

12.99 

0.45 

12.99 

0.51 

12.99 

0.57 

12.99 

0.62 

13 

14 

13.99 

0.49 

13.99 

0.55 

13.  99 

0.61 

13.98 

0.67 

14 

15 

14.99 

0.52 

14.99 

0.59 

14.99 

0.65 

14.98 

0.72 

15 

16 

15.99 

0.56 

15.99 

0.63 

15.98 

0.70 

15.98 

0.77 

16 

17 

16.99 

0.59 

16.99 

0.67 

16.98 

0.74 

16.98 

0.82 

17 

18 

17.99 

0.63 

17.99 

0.71 

17.98 

0.79 

17.98 

0.86 

18 

19 

18.99 

0.66 

18.99 

0.75 

18.98 

0.83 

18.98 

0.91 

19 

20 

19.99 

0.70 

19.98 

0.79 

19.98 

0.87 

19.98 

0.96 

20 

21 

20.99 

0.73 

20.98 

0.82 

20.98 

0.92 

20.98 

1.01 

21 

22 

21.99 

0.77 

21.98 

0.86 

21.98 

0.96 

21.97 

1.06 

22 

23 

22.99 

0.80 

22.98 

0.90 

22.98 

1.00 

22.97 

1.10 

23 

24 

23.99 

0.84 

23.98 

0.94 

23.98 

1.05 

23.97 

1.15 

24 

25 

24.98 

0.87 

24.98 

0.98 

24.98 

1.09 

24.97 

1.20 

25 

26 

25.98 

0.91 

25.98 

1.02 

25.98 

1.13 

25.97 

1.25 

26 

27 

26.98 

0.94 

26.98 

1.06 

26.97 

1.18 

26.97 

1.30 

27 

28 

27.98 

0.98 

27.98 

1.10 

27.97 

1.22 

27.97 

1.34 

28 

29 

28.98 

1.01 

28.98 

1.14 

28.97 

1.26 

28.97 

1.39 

29 

30 

29.98 

1.05 

29.98 

1.18 

29.97 

1.31 

29.97 

1.44 

30 

31 

30.98 

1.08 

30.98 

1.22 

30.97 

.35 

30.96 

1.49 

31 

32 

31.98 

1.12 

31.98 

1.26 

31.97 

.40 

31.96 

1.54 

32 

33 

32.98 

1.15 

32.97 

1.30 

32.97 

.44 

32.96 

1.58 

33 

34 

33.98 

1.19 

33.97 

1.33 

33.97 

.48 

33.96 

1.63 

34 

35 

34.98 

1.22 

34.97 

1.37 

34.97 

.53 

34.  96 

1.68 

35 

36 

35.98 

1.26 

35.97 

1.41 

35.97 

.57 

35.  96 

1.73 

36 

37 

36.98 

1.29 

36.97 

1.45 

36.96 

.61 

36.96 

1.78 

37 

38 

37.98 

1.33 

37.97 

1.49 

37.96 

.66 

37.96 

1.82 

38 

39 

38.98 

1.36 

38.97 

1.53 

38.96 

.70 

38.96 

1.87 

39 

40 

39.98 

1.40 

39.97 

1.57 

39.96 

.74 

39.95 

1.92 

40 

41 

40.98 

1.43 

40.97 

1.61 

40.96 

.79 

40.95 

1.97 

41 

42 

41.97 

1.47 

41.97 

1.65 

41.  96 

.83 

41.95 

2.02 

42 

43 

42.  97 

1.50 

42.97 

1.69 

42.96 

.88 

42.95 

2.06 

43 

44 

43.97 

1.54 

43.97 

1.73 

43.96 

.92 

43.95 

2.11 

44 

45 

44.97 

1.57 

44.97 

1.77 

44.96 

.96 

44.95 

2.16 

45 

46 

45.97 

1.61 

45.96 

1.81 

45.96 

2.01 

45.95 

2.21 

46 

47 

46.97 

1.64 

46.96 

1.85 

46.96 

2.05 

46.  95 

2.25 

47 

48 

47.97 

1.68 

47.  96 

1.88 

47.95 

2.09 

47.94 

2.30 

48 

49 

48.97 

1.71 

48.96 

1.92 

48.95 

2.14 

48.94 

2.35 

49 

50 

49.97 

1.74 

49.96 

1.96 

49.95 

2.18 

49.94 

2.40 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

ft 

8* 

!°. 

875 

4°. 

87' 

^°- 

873 

4°. 

ft 

12 


TABLE  4.— TRAVERSE  TABLE. 


d 

2< 

2^ 

2M 

VA 

o 

a 

ft> 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

50.97 

1.78 

,50.96 

2.00 

50.95 

2.22 

50.94 

2.45 

51 

52 

51.97 

1.81 

51.96 

2.04 

51.95 

2.27 

51.94 

2.49 

52 

53 

52.97 

1.85 

52.96 

2.08 

52.95 

2.31 

52.94 

2.54 

53 

54 

53.97 

1.88 

53.96 

2.12 

53.95 

2.36 

53.94 

2.59 

54 

55 

54.97 

1.92 

54.96 

2.16 

54.95 

2.40 

54.94 

2.64 

55 

56 

55.97 

1.95 

55.96 

2.20 

55.95 

2.44 

55.  94 

2.69 

56 

57 

56.97 

1.99 

56.96 

2.24 

56.95 

2.49 

56.93 

2.73 

57 

58 

57.96 

2.02 

57.96 

2.28 

57.94 

2.53 

57.93 

2.78 

58 

59 

58.96 

2.06 

58.95 

2.32 

58.94 

2.57 

58.93 

2.83 

59 

60 

59.96 

2.09 

59.95 

2.36 

59.94 

2.62 

59.93 

2.88 

60 

61 

60.96 

2.13 

60.95 

2.39 

60.94 

2.66 

60.93 

2.93 

61 

62 

61.96 

2.16 

61.  95 

2.43 

61.94 

2.70 

61.  93 

2.97 

62 

63 

62.96 

2.20 

62.95 

2.47 

62.94 

2.75 

62.93 

3.02 

63 

64 

63.96 

2.23 

63.95 

2.51 

63.94 

2.79 

63.93 

3.07 

64 

65 

64.96 

2.27 

64.95 

2.55 

64.94 

2.84 

64.93 

3.12 

65 

66 

65.96 

2.30 

65.95 

2.59 

65.94 

2.88 

65.92 

3.17 

66 

67 

66.96 

2.34 

66.95 

2.63 

66.94 

2.92 

66.  92 

3.21 

67 

68 

67.96 

2.37 

67.95 

2.67 

67.94 

2.97 

67.92 

3.26 

68 

69 

68.96 

2.41 

68.95 

2.71 

68.93 

3.01 

68.92 

3.31 

69 

70 

69.96 

2.44 

69.95 

2.75 

69.93 

3.05 

69.92 

3.36 

70 

71 

70.96 

2.48 

70.95 

2.79 

70.93 

3.10 

70.92 

3.41 

71 

72 

71.96 

2.51 

71.94 

2.  83 

71.93 

3.14 

71.92 

3.45 

72 

73 

72.96 

2.55 

72.94 

2.87 

72.93 

3.18 

72.92 

3.50 

73 

74 

73.95 

2.58 

73.94 

2.91 

73.93 

3.23 

73.91 

3.55 

74 

75 

74.95 

2.62 

74.94 

2.94 

74.93 

3.27 

74.91 

3.60 

75 

76 

75.95 

2.65 

75.94 

2.98 

75.93 

3.32 

75.91 

3.65 

76 

77 

76.95 

2.69 

76.94 

3.02 

76.93 

3.36 

76.91 

3.69 

77 

78 

77.95 

2.72 

77.94 

3.06 

77.93 

3.40 

77.91 

3.74 

78 

79 

78.  95 

2.76 

78.94 

3.10 

78.92 

3.45 

78.91 

3.79 

79 

80 

79.  95 

2.79 

79.94 

3.14 

79.92 

3.49 

79.91 

3.84 

80 

81 

80.95 

2.83 

80.94 

3.18 

80.92 

3.53 

80.91 

3.89 

81 

82 

81.95 

2.86 

81.94 

3.22 

81.92 

3.58 

81.91 

3.93 

82 

83 

82.95 

2.90 

82.94 

3.26 

82.92 

3.62 

82.90 

3.98 

83 

84 

83.95 

2.93 

83.94 

3.30 

83.92 

3.66 

83.90 

4.03 

84 

85 

84.95 

2.97 

84.93 

3.34 

84.92 

3.71 

84.90 

4.08 

85 

86 

85.95 

3.00 

85.93 

3.38 

85.92 

3.75 

85.90 

4.13 

86 

87 

86.95 

3.04 

86.93 

3.42 

86.92 

3.79 

86.90 

4.17 

87 

88 

87.95 

3.07 

87.93 

3.45 

87.92 

3.84 

87.90 

4.22 

88 

89 

88.95 

3.11 

88.93 

3.49 

88.92 

3.88 

88.90 

4.27 

89 

90 

89.95 

3.14 

89.93 

3.53 

89.91 

3.93 

89.90 

4.32 

90 

91 

90.95 

3.18 

90.93 

3.57 

90.91 

3.97 

90.90 

4.37 

91 

92 

91.94 

3.21 

91.93 

3.61 

91.91 

4.01 

91.89 

4.41 

92 

93 

92.94 

3.25 

92.93 

3.65 

92.91 

4.06 

92.89 

.46 

93 

94 

93.94 

3.28 

93.  93 

3.69 

93.91 

4.10 

93.89 

.51 

94 

95 

94.94 

3.32 

94.93 

3.73 

94.91 

4.14 

94.89 

.56 

95 

96 

95.94 

3.35 

95.93 

3.77 

95.91 

4.19 

95.89 

.61 

96 

97 

96.94 

3.39 

96.93 

3.81 

96.91 

4.23 

96.89 

.65 

97 

98 

97.94 

3.42 

97.92 

3.85 

97.91 

4.27 

97.89 

.70 

98 

99 

98.94 

3.46 

98.92 

3.89 

98.91 

4.32 

98.89 

4.75 

99 

100 

99.94 

3.49 

99.92 

3.93 

99.90 

4.36 

99.88 

4.80 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

8{ 

5°. 

875 

*°. 

87J 

Si*. 

87j 

4°- 

to 

5 

TABLE  4.-TRA  VERSE  TABLE. 


1 

3 

«. 

3j 

c. 

3) 

•2°- 

32 

1*. 

o 

BT 

I 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

? 

1 

1.00 

0.05 

1.00 

0.06 

1.00 

0.06 

1.00 

0.06 

1 

2 

2.00 

0.10 

2.00 

0.11 

2.00 

0.12 

2.00 

0.13 

2 

3 

3.00 

0.16 

3.00 

0.17 

2.99 

0.18 

2.99 

0.20 

3 

4 

3.99 

0.21 

3.99 

0.23 

3.99 

0.24 

3.99 

0.26 

4 

5 

4.99 

0.26 

4.99 

0.28 

4.99 

0.31 

4.99 

0.33 

5 

6 

5.99 

0.31 

5.99 

0.34 

5.99 

0.37 

5.99 

0.39 

C> 

7 

6.99 

0.37 

6.99 

0.40 

6.99 

0.43 

6.99 

0.46 

1 

8 

7.99 

0.42 

7.99 

0.45 

7.99 

0.49 

7.98 

0.52 

8 

9 

8.99 

0.47 

8.99 

0.51 

8.98 

0.55 

8.98 

0.59 

9 

10 

9.99 

0.52 

9.98 

0.57 

9.98 

0.61 

9.98 

0.65 

10 

11 

10.98 

0.  fiS 

10.  98 

0.62 

10.98 

0.07 

10.98 

0.72 

11 

12 

11.  98 

o.  r.:? 

11.98 

0.68 

11.98 

0.7:; 

I  11.97 

0.78 

12 

13 

12.98 

0.68 

12.98 

0.74 

12.  98 

0.79 

!  12.  97 

0.85 

13 

14 

13.98 

0.73 

13.  98 

0.79 

13.  97 

0.85 

!  13.  97 

0.92 

11 

15 

14.  98 

0.79 

14.  98 

0.85 

14.97 

0.  02 

14.97 

0.98 

15 

16 

15.  98 

0.84 

15.  97 

0.91 

15.97 

0.98 

15.  97 

1.  05 

16 

17 

16.98 

0.89 

16.  97 

0.% 

16.  97 

1.04 

16.  96 

1.11 

17 

18 

17.98 

0.94 

17.97 

1.02 

17.97 

1.10 

17.  96 

1.18 

18 

19 

18.97 

0.99 

18.97 

1.08 

18.96 

1.16 

18.96 

1.24 

19 

20 

19.97 

1.05 

19.97 

1.13 

19.96 

1.22 

19.96 

1.31 

20 

21 

20.97 

1.10 

20.97 

1.19 

20.96 

1.28 

20.96 

1.37 

21 

22 

21.97 

1.15 

21.96 

1.25 

21.96 

1.34 

21.95 

1.44 

22 

23 

22.97 

1.20 

22.96 

1.30 

22.96 

1.40 

22.95 

1.50 

23 

24 

23.  97 

1.26 

23.96 

1.36 

23.96 

1.47 

23.  95 

1.57 

24 

25 

24.97 

1.31 

24.96 

1.42 

24.95 

.53 

24.95 

1.64 

25 

26 

25.96 

1.36 

25.96 

1.47 

25.95 

.59 

25.94 

1.70 

26 

27 

26.% 

1.41 

26.96 

1.53 

26.95 

.65 

26.  94 

1.77 

27 

28 

27.96 

1.47 

27.95 

1.59 

27.95 

.71 

27.94 

1.83 

28 

29 

28.96 

1.52 

28.95 

1.64 

28.95 

.77 

28.94 

1.90 

29 

30 

29.96 

1.57 

29.95 

1.70 

29.94 

.83 

29.94 

1.96 

30 

31 

30.96 

1.62 

30.  95 

1.76 

30.94 

.89 

30.93 

2.03 

31 

32 

31.96 

1.67 

31.95 

1.81 

31.94 

.95 

31.  93 

2.09 

32 

33 

32.95 

1.73 

32.95 

1.87 

32.  94 

2.01 

32.  93 

2.16 

33 

34 

33.  95 

1.78 

33.95 

1.  93 

33.94 

2.08 

33.93 

2.22 

34 

35 

34.95 

1.83 

34.94 

1.98 

34.  93 

2.14 

34.  93 

2.29 

35 

36 

35.  95 

1.88 

35.94 

2.04 

35.  93 

2.20 

35.92 

2.35 

36 

37 

36.  95 

1.94 

36.94 

2.10 

36.93 

2.26 

36.92 

2.42 

37 

38 

37.  95 

1.99 

37.94 

2.15 

37.93 

2.32 

37.92 

2.49 

38 

39 

38.95 

2.04 

38.94 

2.21 

38.93 

2.38 

38.92 

2.55 

39 

40 

39.95 

2.09 

39.94 

2.27 

39.93 

2.44 

39.91 

2.62 

40 

41 

40.94 

2.15 

40.93 

2.32 

40.92 

2.50 

40.91 

2.68 

41 

42 

41.94 

2.20 

41.93 

2.38 

41.92 

2.56 

41.91 

2.75 

42 

43 

42.94 

2.  25 

42.  93 

2.44 

42.92 

2.63 

42.91 

2.81 

43 

44 

43.94 

2.30 

43.93 

2.49 

43.92 

2.69 

43.91 

2.88 

44 

45 

44.94 

2.36 

44.93 

2.55 

44.92 

2.75 

44.90 

2.94 

45 

46 

45.94 

2.41 

45.93 

2.61 

45.91 

2.81 

45.90 

3.01 

46 

47 

46.94 

2.46 

46.92 

2.66 

46.91 

2.87 

46.90 

3.07 

47 

48 

47.  93 

2.51 

47.92 

2.72 

47.91 

2.93 

47.90 

3.14 

48 

49 

48.  93 

2.  56 

4S.  92 

2.78 

48.91 

2.99 

48.90 

3.20 

49 

50 

49.  93 

2.62 

49.92 

2.83 

49.91 

3.05 

49.89 

3.27 

50 

| 

C3 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

3 

1 

p 

87 

•>. 

86^ 

r. 

86J, 

2°- 

8C> 

r 

% 

14 


TABLE  4.— TRAVERSE  TABLE. 


b 

3°. 

3Mo 

3K2°- 

3%°. 

o 

R 

1 

£ 

£3 

Q 

O 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

51 

50.93 

2.67 

50.92 

2.89 

50.90 

3.11 

50.89 

3.34 

51 

52 

51.93 

2.72 

i     51.  92 

2.95 

5f.flO 

3.17 

51.89 

3.40 

52 

53 

52.  93 

2.77 

52.91 

3.00 

o2.  90 

3.24 

52.89 

3.47 

53 

54 

53.93 

2.83 

53.91 

3.  (Hi 

5:5.  90 

3.30 

53.88 

3.53 

54 

55 

54.92 

2.88 

54.91 

3.12 

54.90 

3.36 

54.  88 

3.60 

55 

56 

55.92 

2.93 

55.91 

3.17 

55.90 

3.42 

55.  88 

3.66 

56 

57 

56.92 

2.98 

56.91 

3.23 

56.89 

3.48 

56.88 

3.73 

57 

58 

57.92 

3.04 

57.91 

3.29 

57.89 

3.54 

57.88 

3.79 

58 

59 

58.92 

3.09 

58.91 

3.34 

58.89 

3.60 

58.87 

3.86 

59 

60 

59.92 

3.14 

59.90 

3.40 

59.89 

3.66 

59.87 

3.92 

60 

61 

60.92 

3.19 

60.90 

3.46 

60.89 

3.72 

60.87 

3.99 

61 

62 

61.92 

3.24 

61.90 

3.51 

61.88 

3.79 

61.  87 

4.05 

62 

63 

62.91 

3.30 

62.90 

3.57 

62.  88 

3.85 

62.87 

4.12 

63 

64 

63.91 

3.  35 

63.90 

3.63 

63.88 

3.91 

63.86 

4.19 

64 

65 

64.91 

3.40 

64.90 

3.  69 

64.  88 

3.97 

64.86 

4.25 

65 

66 

65.91 

3.45 

65.89 

3.74 

65.88 

4.03 

65.86 

4.32 

66 

67 

66.91 

3.51 

66.89 

3.80 

66.88 

4.09 

66.86 

4.38 

67 

68 

67.91 

3.56 

67.89 

3.86 

67.87 

4.15 

67.85 

4.45 

68 

69 

68.91 

3.61 

68.89 

3.91 

68.87 

4.21 

68.85 

4.51 

69 

70 

69.90 

3.66 

69.89 

3.97 

69.87 

4.27 

69.  85' 

4.58 

70 

71 

70.90 

3.72 

70.89 

4.03 

70.87 

4.33 

70.85 

4.64 

71 

72 

71.90 

3.77 

71.88 

4.08 

71.87 

4.40 

71.85 

4.71 

72 

73 

72.  90 

3.82 

72.  88 

4.14 

72.86 

4.46 

72.84 

4.77 

73 

74 

73.90 

3.87 

73.  88 

4.20 

73.  86 

4.52 

73.84 

4.84 

74 

75 

74.90 

3.93 

74.88 

4.25 

74.  86 

4.58 

74.84 

4.91 

75 

76 

75.  90 

3.98 

75.  88 

4.31 

75.86 

4.64 

75.  84 

4.97 

76 

77 

76.89 

4.03 

76.88 

4.37 

76.86 

4.70 

76.  84 

5.04 

77 

78 

77.89 

4.08 

77.87 

4.42 

77.85 

4.76 

77.83 

5.10 

78 

79 

78.89 

4.13 

78.  S'7 

4.48 

78.85 

4.82 

78.83 

5.17 

79 

SO 

79.89 

4.19 

79.87 

4.54 

79.  85 

4.88 

79.83 

5.23 

80 

81 

80.89 

4.24 

80.87 

4.59 

80.85 

4.94 

80.83 

5.30 

81 

82 

81.89 

4.29 

81.  87 

4.65 

81.85 

5.01 

81.82 

5.36 

82 

83 

82.  89 

4.34 

82.87 

4.71 

82.85 

5.07 

82.82 

5.43 

83 

84 

83.  88 

4.40 

83.86 

4.76 

83.  84 

5.13 

83.82 

5.49 

84 

85 

84.88 

4.45 

84.86 

4.82 

84.84 

5.19 

84.82 

5.56 

85 

86 

85.88 

4.50 

85.86 

4.88 

85.84 

5.25 

85.82 

5.62 

86 

87 

86.88 

4.55 

86.86 

4.93 

86.84 

5.31 

86.81 

5.69 

87 

88 

87.88 

4.61 

87.86 

4.99 

87.84 

5.37 

87.81 

5.76 

88 

89 

88.88 

4.66 

88.86 

5.05 

88.83 

5.43 

88.81 

5.82 

89 

90 

89.88 

4.71 

89.86 

5.10 

89.83 

5.49 

89.81 

5.89 

90 

91 

90.88 

4.76 

90.85 

5.16 

90.83 

5.56 

90.81 

5.95 

91 

92 

91.87 

4.81 

91.  85 

5.22 

91.  83 

5.62 

91.80 

6.02 

92 

93 

92.87 

4.87 

92.85 

5.27 

92.83 

5.68 

92.80 

6.08 

93 

94 

93.  87 

4.92 

93.85 

5.33 

93.  82 

5.74 

93.80 

6.15 

94 

95 

94.87 

4.97 

94.85 

5.39 

94.  82 

5.80 

94.80 

6.21 

95 

96 

95.87 

5.02 

95.85 

5.44 

95.82 

5.86 

95.79 

6.28 

96 

97 

96.87 

5.08 

96.84 

5.50 

96.82 

5.92 

96.79 

6.34 

97 

98 

97.87 

5.13 

97.84 

5.56 

97.82 

5.98 

97.79 

6.41 

98 

99 

98.86 

5.18 

98.84 

5.61 

98.82 

6.04 

98.  79 

6.47 

99 

100 

99.80 

5.23 

99.84 

5.67 

99.81 

6.10 

99.79 

6.54 

100 

1 

03 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

s 

ft 

87°. 

86%°. 

86^°. 

86M'. 

ft 

15 


TABLE  4. -TRAVERSE  TABLE. 


u 

c 

4C 

VA 

4H 

VA 

". 

ti 

1 

I 
P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

i 

1.00 

0.07 

1.00 

0.07 

1.00 

0.08 

1.00 

0.08 

i 

2 

2.00 

0.14 

1.99 

0.15 

1.99 

0.16 

1.99 

0.17 

2 

3 

2.99 

0.21 

2.99 

0.22 

2.99 

0.24 

2.99 

0.25 

3 

4 

3.99 

0.28 

3.99 

0.30 

3.99 

0.31 

3.99 

o.;« 

4 

5 

4.99 

0.35 

4.99 

0.37 

4.98 

0.39 

4.98 

0.41 

5 

6 

5.99 

0.42 

5.98 

0.44 

5.98 

0.47 

5.98 

0.50 

6 

7 

6.98 

0.49 

6.98 

0.52 

6.98 

0.55 

6.98 

0.58 

7 

8 

7.98 

0.56 

7.98 

0.  59 

7.98 

0.63 

7.97 

0.  ()C) 

8 

9 

8.98 

0.63 

8.98 

0.67 

8.97 

0.71 

8.97 

0.  75 

9 

10 

9.98 

0.70 

9.97 

0.74 

9.97 

0.78 

9.97 

0.83 

10 

11 

10.97 

0.77 

10.97 

0.82 

10.97 

0.86 

10.  96 

0.91 

11 

12 

11.97 

0.84 

11.07 

0.89 

11.96 

0.94 

11.96 

0.99 

12 

13 

12.97 

0.91 

12.9ti 

0.96 

12.% 

1.02 

12.% 

1.08 

13 

14 

13.97 

0.98 

13.96 

1.04 

13.% 

1.10 

11.95 

1.16 

14 

15 

14.96 

1.05 

14.% 

1.11 

14.  95 

1.18 

14.  95 

1.24 

15 

16 

15.  % 

1.12 

15.  96 

1.19 

15.95 

1.26 

15.  9.5 

1.32 

16 

17 

16.96 

1.19 

16.95 

1.20 

16.  95 

1.33 

16.94 

1.41 

17 

18 

17.  96 

1.26 

17.95 

1.33 

17  94 

1.41 

17.94 

1.49 

18 

19 

18.95 

1.33 

18.95 

1.41 

18.94 

.49 

18.93 

1.57 

19 

20 

19.95 

1.40 

19.95 

1.48 

19.94 

.57 

19.93 

1.C6 

20 

21 

20.95 

1.46 

20.94 

1.56 

20.  94 

1.65 

20.93 

1.74 

21 

22 

21.95 

1.53 

21.94 

.63 

21.93 

1.73 

21.92 

1.82 

22 

23 

22.94 

1.60 

22.94 

.70 

22.93 

1.80 

22.92 

1.90 

23 

24 

23.94 

1.67 

23.93 

.78 

23.93 

1.88 

23.92 

1.99 

24 

25 

24.94 

1.74 

24.93 

.85 

24.92 

1.96 

24.91 

2.07 

25 

26 

25.94 

1.81 

25.93 

.93 

25.92 

2.04 

25.91 

2.15 

26 

27 

26.93 

1.88 

26.  93 

2.00 

26.92 

2.12 

26.91 

2.24 

27 

28 

27.93 

1.95 

27.92 

2.08 

27.91 

2,20 

27.90 

2.32 

28 

29 

28.93 

2.02 

28.92 

2.15 

28.91 

2.28 

28.90 

2.40 

29 

30 

29.93 

2.09 

29.92 

2.22 

29.91 

2.35 

29.90 

2.48 

30 

31 

30.82 

2.16 

30.91 

2.30 

30.90 

2.43 

30.89 

2.57 

31 

32 

31.92 

2.23 

31.91 

2.37 

31.90 

2.51 

31.89 

2.65 

32 

33 

32.92 

2.30 

32.91 

2.45 

32.90 

2.59 

32.89 

2.73 

33 

34 

33.92 

2.37 

33.91 

2.52 

33.90 

2.67 

33.88 

2.82 

34 

35 

34.91 

2.44 

34.90 

2.59 

34.89 

2.75 

34.88 

2.90 

35 

36 

35.91 

2.51 

35.90 

2.67 

35.89 

2.82 

35.88 

2.98 

36 

37 

36.91 

2.58 

36.90 

2.74 

36.89 

2.90 

36.87 

3.06 

37 

38 

37.91 

2.65 

37.90 

2.82 

37.88 

2.98 

37.87 

3.15 

38 

39 

as.  90 

2.72 

38.89 

2.89 

38.88 

3.06 

38.87 

3.23 

39 

10 

39.90 

2.79 

39.89 

2.96 

39.88 

3.14 

39.86 

3.31 

40 

41 

40.90 

2.86 

40.89 

3.04 

40.87 

3.22 

40.86 

3.40 

41 

42 

41.90 

2.93 

41.88 

3.11 

41.87 

3.30 

41.86 

3.48 

42 

43 

42.90 

3.00 

42.88 

3.19 

42.87 

3.37 

42.85 

3.56 

43 

44 

43.89 

3.07 

43.88 

3.26 

43.  86 

3.45 

43.85 

3.64 

44 

45 

44.89 

3.14 

44.88 

3.33 

44.86 

3.53 

44.85 

3.73 

45 

46 

45.89 

3.21 

45.87 

3.41 

45.  86 

3.61 

45.84 

3.81 

46 

47 

46.89 

3.28 

46.87 

3.48 

46.86 

3.69 

46.84 

3.89 

47 

48 

47.88 

3.35 

47.87 

3.56 

47.85 

3.77 

47.84 

3.97 

48 

49 

48.88 

3.42 

48.87 

3.63 

48.85 

3.84 

48.83 

4.06 

49 

50 

49.88 

3.49 

49.86 

3.71 

49.85 

3.92 

49.83 

4.14 

50 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

I 

8( 

85; 

4°. 

85J 

•gj 

85 

4°- 

5 

1G 


TABLE  4.— TRAVERSE  TABLE. 


b 
£ 

4 

0 

V 

r. 

4} 

£°- 

43, 

i°. 

b 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

p 

51 

50.88 

3.56 

50.86 

3.78 

50.84 

4.00 

50.82 

4.22 

51 

52 

51.87 

3.63 

/)!.  SO 

3.85 

51.84 

4.08 

51.82 

4.31 

52 

53 

52.87 

3.70 

52.85 

3.93 

->-'.  N4 

4.16 

52.82 

4.39 

53 

54 

53.87 

3.77 

53.85 

4.00 

53.83 

4.24 

53.81 

4.47 

54 

55 

54.87 

3.84 

54.85 

4.08 

54.83 

.32 

54.81 

4.55 

55 

56 

55.86 

3.91 

55.85 

4.15 

55.83 

.39 

55.81 

4.64 

56 

57 

56.86 

3.98 

50.84 

4.22 

5<i.82 

.47 

56.80 

4.72 

57 

58 

57.86 

4.05 

57.84 

4.30 

57.82 

.55 

57.80 

4.80 

58 

59 

58.86 

4.12 

58.84 

4.37 

58.82 

.63 

58.80 

4.89 

59 

to 

59.85 

4.19 

59.84 

4.45 

59.82 

.71 

59.79 

4.97 

60 

01 

CO.  85 

4.26 

60.83 

4.52 

60.81 

4.79 

60.79 

5.05 

61 

62 

61.85 

4.32 

61.83 

4.59 

61.81 

4.86 

61.79 

5.13 

62 

63 

62.85 

4.39 

62.83 

4.67 

62.  81 

4.94 

62.78 

5.22 

63 

(14 

63.84 

4.46 

63.82 

4.74 

63.  80 

5.02 

63.78 

5.30 

64 

05 

64.84 

4.53 

64.82 

4.82 

64.80 

5.10 

64.78 

5.38 

65 

be 

65.  84 

4.60 

65.82 

4.89 

65.80 

5.18 

65.77 

5.47 

66 

G7 

66.84 

4.67 

66.82 

4.97 

66.79 

5.26 

66.77 

5.55 

67 

68 

67.83 

4.74 

67.81 

5.04 

67.79 

5.34 

67.77 

5.63 

68 

(,') 

68.83 

4.81 

68.81 

5.11 

68.79 

5.41 

68.76 

5.71 

69 

70 

69.83 

4.88 

69.81 

5.19 

69.78 

5.49 

69.76 

5.80 

70 

71 

70.83 

4.95 

70.80 

5.26 

70.78 

5.57 

70.76 

5.88 

71 

72 

71.82 

5.02 

71.80 

5.34 

71.78 

5.65 

71.75 

5.96 

72 

73 

72.82 

5.09 

72.80 

5.41 

72.77 

5.73 

72.75 

6.04 

73 

74 

73.82 

5.16 

73.80 

5.48 

73.77 

5.81 

73.75 

6.13 

74  : 

75 

74.82 

5.23 

74.79 

5.56 

74.77 

5.88 

74.74 

6.21 

75 

76 

75.81 

5.30 

75.79 

5.63 

75.77 

5.96 

75.74 

6.29 

76 

77 

76.81 

5.37 

76.79 

5.71 

76.76 

6.04 

76.74 

6.38 

77 

78 

77.81 

5.44 

77.79 

5.78 

77.76 

6.12 

77.73 

6.46 

78 

79 

78.81 

5.51 

78.78 

5.85 

78.76 

6.20 

78.73 

6.54 

79 

80 

79.81 

5.58 

79.78 

5.93 

79.75 

6.28 

79.  73 

6.62 

80 

81 

80.80 

5.65 

80.78 

6.00 

80.75 

6.36 

80.72 

6.71 

81 

82 

81.80 

5.72 

81.77 

6.08 

81.75 

6.43 

81.72 

6.79 

82 

83 

82.80 

5.79 

82.77 

6.15 

82.74 

6.51 

82.71 

6.87 

83 

84 

83.80 

5.86 

83.77 

6.23 

83.74 

6.59 

83.71 

6.96 

84 

85 

84.79 

5.93 

84.77 

6.30 

84.74 

6.67 

84.71 

7.04 

85 

86 

85.79 

6.00 

85.76 

6.37 

85.73 

6.75 

85.70 

7.12 

86 

87 

86.79 

6.07 

86.76 

6.45 

86.73 

6.83 

86.70 

7.20 

87 

88 

87.79 

6.14 

87.76 

6.52 

87.  73 

6.90 

87.70 

7.29 

88 

89 

88.78 

6.21 

88.76 

6.60 

88.  73 

6.98 

88.69 

7.37 

89 

90 

89.78 

6.28 

89.75 

6.67 

89.72 

7.06 

89.69 

7.45 

90 

91 

90.78 

6.35 

90.75 

6.74 

90.  72 

7.14 

90.69 

7.54 

91 

92 

91.78 

6.42 

91.75 

6.82 

91.72 

7.22 

91.68 

7.62 

92 

93 

92.77 

6.49 

92.74 

6.89 

92.71 

7.30 

92.68 

7.70 

93 

94 

93.  77 

6.56 

93.74 

6.97 

93.71 

7.38 

93.68 

7.78 

94 

95 

9  1.  77 

6.63 

94.74 

7.04 

94.71 

7.45 

94.67 

7.87 

95 

96 

95.77 

6.70 

95.74 

7.11 

95.70 

7.53 

95.67 

7.95 

96 

97 

96.76 

6.77 

96.73 

7.19 

96.70 

7.61 

96.67 

8.03 

97 

98 

97.76 

6.84 

97.73 

7.26 

97.70 

7.69 

97.66 

8.12 

98 

99 

98.76 

6.91 

98.73 

7.34 

98.69 

7.77 

98.66 

8.20 

99 

100 

99.76 

6.98 

99.73 

7.41 

99.69 

7.85 

99.66 

8.28 

100 

1 

rrt 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

-S 

OT 

q 

86 

o. 

85^ 

ft 

85} 

$*. 

85} 

r. 

3 

41479—10 2 


17 


TABLE  4.— TRAVERSE  TABLE. 


0 

5°. 

0 

4  • 

5K° 

2  • 

0 

g 

K. 

4   • 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

1.00 

0.09 

1.00 

0.09 

1.00 

0.10 

0.99 

0.10 

1 

2 

1.99 

0.17 

1.99 

0.18 

1.99 

0.19 

1.99 

0.20 

2 

3 

2.99 

0.26 

2.99 

0.27 

2.99 

0.29 

2.98 

0.30 

3 

4 

3.98 

0.35 

3.98 

0.37 

3.98 

0.38 

3.98 

0.40 

4 

5 

4.98 

0.44 

4.98 

0.46 

4.98 

0.48 

4.97 

0.50 

5 

6 

5.98 

0.52 

5.97 

0.55 

5.97 

0.58 

5.97 

0.60 

6 

7 

6.97 

0.61 

6.97 

0.64 

6.97 

0.67 

6.96 

0.70 

7 

8 

7.97 

0.70 

7.97 

0.73 

7.96 

0.77 

7.96 

0.80 

8 

9 

8.97 

0.78 

8.96 

0.82 

8.96 

0.86 

8.95 

0.90 

9 

10 

9.96 

0.87 

9.96 

0.92 

9.95 

0.96 

9.95 

1.00 

10 

11 

10.96 

0.96 

10.95 

1.01 

10.95 

1.05 

10.94 

1.10 

11 

12 

11.95 

1.05 

11.95 

1.10 

11.94 

1.15 

11.94 

1.20 

12 

13 

12.95 

1.13 

12.95 

1.19 

12.94 

1.25 

12.93 

1.30 

13 

14 

13.95 

1.22 

13.94 

1.28 

13.94 

1.34 

13.93 

1.40 

14 

15 

14.94 

1.31 

14.94 

1.37 

14.93 

1.44 

14.92 

1.50 

15 

16 

15.94 

1.39 

15.93 

1.46 

15.93 

1.53 

15.92 

1.60 

16 

17 

16.94 

1.48 

16.93 

1.56 

16.92 

1.63 

.16.91 

1.70 

17 

18 

17.93 

1.57 

17.92 

1.65 

17.92 

1.73 

17.91 

1.80 

18 

19 

18.93 

1.66 

18.92 

1.74 

18.91 

1.82 

18.90 

1.90 

19 

20 

19.92 

1.74 

19.92 

1.83 

19.91 

1.92 

19.90 

2.00 

20 

21 

20.92 

1.83 

20.91 

1.92 

20.90 

2.01 

20.89 

2.10 

21 

22 

21.92 

1.92 

21.91 

2.01 

21.90 

2.11 

21.89 

2.20 

22 

23 

22.91 

2.00 

22.90 

2.10 

22.  89 

2.20 

22.88 

2.30 

23 

24 

23.91 

2.09 

23.90 

2.20 

23.89 

2.30 

23.88 

2.40 

24 

25 

24.90 

2.18 

24.90 

2.29 

24.88 

2.40 

24.87 

2.50 

25 

26 

25.90 

2.27 

25.89 

2.38 

25.88 

2.49 

25.87 

2.60 

26 

27 

26.90 

2.35 

26.89 

2.47 

26.88 

2.59 

26.  86 

2.71 

27 

28 

27.89 

2.44 

27.88 

2.56 

27.87 

2.68 

27.86 

2.81 

28 

29 

28.89 

2.53 

28.88 

2.65 

28.  87 

2.78 

28.85 

2.91 

29 

30 

29.89 

2.61 

29.87 

2.75 

29.86 

2.88 

29.85 

3.01 

30 

31 

30.88 

2.70 

30.87 

2.84 

30.86 

2.97 

30.84 

3.11 

31 

32 

31.88 

2.79 

31.87 

2.93 

31.85 

3.07 

31.84 

3.21 

32 

33 

32.87 

2.88 

32.86 

3.02 

32.85 

3.16 

32.83 

3.31 

33 

34 

33.87 

2.96 

33.86 

3.11 

33.84 

3.26 

33.83 

3.4! 

34 

35 

34.87 

3.05 

34.85 

3.20 

34.84 

3.35 

34.82 

3.51 

35 

36 

35.86 

3.14 

35.85 

3.29 

35.83 

3.45 

35.82 

3.61 

36 

37 

36.88 

3.22 

36.84 

3.39 

36.83 

3.55 

36.81 

3.71 

37 

38 

37.86 

3.31 

37.84 

3.48 

37.83 

3.64 

37.81 

3.81 

38 

39 

38.85 

3.40 

38.84 

3.57 

38.82 

3.74 

38.80 

3.91 

39 

40 

39.85 

3.49 

39.83 

3.66 

39.82 

3.83 

39.80 

4.01 

40 

41 

40.84 

3.57 

40.83 

3.75 

40.81 

3.93 

40.79 

4.11 

41 

42 

41.84 

3.66 

41.82 

3.84 

41.81 

4.03 

41.79 

4.21 

42 

43 

42.84 

3.75 

42.82 

3.93 

42.80 

4.12 

42.78 

4.31 

43 

44 

43.83 

3.83 

43.82 

4.03 

43.80 

4.22 

43.78 

4.41 

44 

45 

44.82 

3.92 

44.81 

4.12 

44.79 

4.31 

44.77 

4.51 

45 

46 

45.82 

4.01 

45.81 

4.21 

45.79 

4.41 

45.77 

4.61 

46 

47 

46.82 

4.10 

46.80 

4.30 

46.78 

4.50 

46.76 

4.71 

47 

48 

47.82 

4.18 

47.80 

4.39 

47.78 

4.60 

47.76 

4.81 

48 

49 

48.81 

4.27 

48.79 

4.48 

48.77 

4.70 

48.75 

4.91 

49 

50 

49.81 

4.36 

49.79 

4.58 

49.77 

4.79 

49.75 

5.01 

50 

e 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

• 

B 

B 

85°. 

84^°. 

84^°. 

84^°. 

i 

ft 

18 


TABLE  4.—  TRAVERSE  TABLE. 


1 

5°. 

5M°- 

5K2°- 

5M°. 

U 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

50.81 

4.44 

50.79 

4.67 

50.77 

4.89 

50.74 

5.11 

51 

52 

51.80 

4.53 

51.78 

4.76 

51.76 

4.98 

51.74 

5.21 

52 

53 

52.80 

4.62 

52.78 

4.85 

52.  76 

5.08 

52.73 

5.31 

53 

54 

53.79 

4.71 

53.77 

4.94 

53.75 

5.18 

53.73 

5.41 

54 

55 

54.79 

4.79 

54.77 

5.03 

54.75 

5.27 

54.72 

5.51 

55 

56 

55.79 

4.88 

55.77 

5.12 

55.74 

5.37 

55.72 

5.61 

56 

57 

56.78 

4.97 

56.  76 

5.22 

56.74 

5.46 

56.  71 

5.71 

57 

58 

57.78 

5.06 

57.70 

5.31 

57.73 

5.56 

57.71 

5.81 

58 

59 

58.78 

5.14 

58.75 

5.40 

58.  73 

5.65 

58.70 

5.91 

59 

GO 

59.77 

5.23 

59.75 

5.49 

59.72 

5.75 

59.70 

6.01 

60 

61 

60.77 

5.32 

60.74 

5.58 

60.72 

5.85 

60.69 

6.11 

61 

62 

61.76 

5.40 

61.74 

5.67 

01.71 

5.94 

61.69 

6.21 

62 

63 

62.76 

5.49 

62.74 

5.70 

02.  71 

6.04 

02.  08 

6.31 

63 

64 

63.76 

5.58 

63.73 

5.80 

03.71 

6.13 

63.68 

6.41 

64 

65 

64.75 

5.67 

64.73 

5.95 

64.70 

6.23 

64.67 

6.51 

65 

66 

65.75 

5.75 

65.72 

6.04 

65.70 

6.33 

65.67 

6.61 

66 

67 

66.75 

5.84 

66.  72 

6.13 

6(3.  69 

6.42 

66.66 

6.71 

67 

08 

67.74 

5.93 

67.71 

6.22 

67.  69 

6.52 

67.66 

6.81 

68 

69 

68.74 

6.01 

68.71 

6.31 

68.68 

6.61 

68.65 

6.91 

69 

70 

69.73 

6.10 

69.71 

6.41 

69.68 

6.71 

69.65 

7.01 

70 

71 

70.73 

6.19 

70.70 

6.  .50 

70.67 

6.81 

70.64 

7.11 

71 

72 

71.73 

6.28 

71.70 

6.59 

71.07 

6.90 

71.64 

7.21 

72 

73 

72.72 

6.36 

72.69 

6.68 

72.66 

7.00 

72.63 

7.31 

73 

74 

73.72 

6.45 

73.  09 

6.77 

73.66 

7.09 

73.63 

7.41 

74 

75 

74.71 

6.54 

74.  09 

6.86 

74.65 

7.19 

74.62 

7.51 

75 

76 

75.71 

6.62 

75.08 

6.95 

75.  05 

7.28 

75.62 

7.61 

76 

77 

76.71 

6.71 

76.  08 

7.05 

76.  65 

7.38 

76.61 

7.71 

77 

78 

77.70 

6.80 

77.  67 

7.14 

77.  64 

7.48 

77.61 

7.81 

78 

79 

78.70 

6.89 

78.  07 

7.23 

78.  64 

7.57 

78.60 

7.91 

79 

80 

79.70 

6.97 

79.66 

7.32 

79.63 

7.67 

79.60 

8.02 

80 

81 

80.  69 

7.06 

80.  66 

7.41 

80.63 

7.76 

80.59 

8.12 

81 

82 

81.69 

7.15 

81.66 

7.50 

81.62 

7.86 

81.59 

8.22 

82 

83 

82.68 

7.23 

82.  05 

7.59 

82.62 

7.96 

82.58 

8.32 

83 

84 

83.68 

7.32 

83.  65 

7.69 

83.  61 

8.05 

83.58 

8.42 

84 

85 

84.68 

7.41 

84.  64 

7.78 

84.61 

8.15 

84.57 

8.52 

85 

86 

85.67 

7.50 

85.64 

7.87 

85.60 

8.24 

85.  57 

8.62 

86 

87 

86.67 

7.58 

86.  64 

7.96 

80.  00 

8.34 

86.56 

8.72 

87 

88 

87.67 

7.67 

87.  63 

8.05 

87.59 

8.43 

87.56 

8.82 

88 

89 

88.  66 

7.76 

88.  03 

8.14 

88.59 

8.53 

88.55 

8.92 

89 

90 

89.66 

7.84 

89.  62 

8.24 

89.59 

8.63 

89.55 

9.02 

90 

91 

90.65 

7.93 

90.62 

8.33 

90.58 

8.72 

90.54 

9.12 

91 

92 

91.65 

8.02 

91.61 

8.42 

91.58 

8.82 

91.54 

9.22 

92 

93 

92.65 

8.11 

92.  61 

8.51 

92.57 

8.91 

92.53 

9.32 

93 

94 

93.64 

8.19 

93.61 

8.60 

93.57 

9.01 

93.53 

9.42 

94 

95 

94.64 

8.28 

94.60 

8.69 

94.56 

9.11 

94.52 

9.52 

95 

96 

95.63 

8.37 

95.60 

8.78 

95.56 

9.20 

95.52 

9.62 

96 

97 

96.  63 

8.45 

98.59 

8.88 

96.  55 

9.30 

96.51 

9.72 

97 

98 

97.63 

8.54 

97.59 

8.97 

97.55 

9.39 

97.51 

9.82 

98 

99 

98.  62 

8.63 

98.58 

9.06 

98.54 

9.49 

98.50 

9.92 

99 

100 

99.  62 

8.72 

99.58 

9.15 

99.54 

9.58 

99.50 

10.02 

100 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

d 

3 

85°. 

84-V. 

8414°. 

84J*°. 

Q 

19 


TABLE  4.— TRAVERSE  TABLE. 


d 

6' 

> 

6^ 

o 

63^ 

o 

o 

0 

1' 

£ 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

J 

0.99 

0.10 

0.99 

0.11 

0.99 

0.11 

0.99 

0.12 

i 

2 

1.99 

0.21 

1.99 

0.22 

1.99 

0.23 

1.99 

0.24 

2 

3 

2.98 

0.31 

2.98 

0.33 

2.98 

0.34 

2.98 

0.35 

3 

4 

3.98 

0.42 

3.98 

0.44 

3.97 

0.45 

3.97 

0.47 

4 

5 

4.97 

0.52 

4.97 

0.54 

4.97 

0.57 

4.97 

0.59 

5 

6 

5.97 

0.63 

5.96 

0.65 

5.96 

0.68 

5.96 

0.71 

6 

7 

6.96 

0.73 

6.96 

0.76 

6.96 

0.79 

6.95 

0.82 

7 

8 

7.96 

0.84 

7.95 

0.87 

7.95 

0.91 

7.94 

0.94 

8 

9 

8.95 

0.94 

8.95 

0.98 

8.94 

.02 

8.94 

1.06 

9 

10 

9.95 

1.05 

9.94 

1.09 

9.94 

.13 

9.93 

1.18 

10 

11 

10.94 

1.15 

10.93 

1.20 

10.93 

.25 

10.92 

1.29 

11 

12 

11.93 

1.25 

11.93 

.31 

11.92 

.36 

11.92 

1.41 

12 

13 

12.93 

1.36 

12.92 

.42 

12.92 

.47 

12.91 

1.53 

13 

14 

13.92 

1.46 

13.92 

.52 

13.91 

.58 

13.90 

1.65 

14 

15 

14.92 

1.57 

14.91 

1.63 

14.90 

.70 

14.90 

1.76 

15 

16 

15.91 

1.67 

15.90 

1.74 

15.90 

.81 

15.89 

1.88 

16 

17 

16.91 

1.78 

16.90 

1.85 

16.89 

.92 

16.88 

2.00 

17 

18 

17.90 

1.88 

17.89 

1.96 

17.88 

2.04 

17.88 

2.12 

18 

19 

18.90 

1.99 

18.89 

2.07 

18.88 

2.15 

18.87 

2.23 

19 

20 

19.89 

2.09 

19.88 

2.18 

19.87 

2.26 

19.86 

2.35 

20 

21 

20.88 

2.20 

20.88 

2.29 

20.87 

2.38 

20.85 

2.47 

21 

22 

21.88 

2.30 

21.87 

2.40 

21.86 

2.49 

21.85 

2.59 

22 

23 

22.87 

2.40 

22.86 

2.50 

22.85 

2.60 

22.84 

2.70 

23 

24 

23.87 

2.51 

23.86 

2.61 

23.85 

2.72 

23.83 

2.82 

24 

25 

24.86 

2.61 

24.85 

2.72 

24.84 

2.83 

24.83 

2.94 

25 

26 

25.86 

2.72 

25.85 

2.83 

25.83 

2.94 

25.82 

3.06 

26 

27 

26.85 

2.82 

26.84 

2.94 

26.83 

3.06 

26.81 

3.17 

27 

28 

27.85 

2.93 

27.83 

3.05 

27.82 

3.17 

27.81 

3.29 

28 

29 

28.84 

3.03 

28.83 

3.16 

28.81 

3.28 

28.80 

3.41 

29 

30 

29.84 

3.14 

29.82 

3.27 

29.81 

3.40 

29.79 

3.53 

30 

31 

30,83 

3.24 

30.82 

3.37 

30.80 

3.51 

30.79 

3.64 

31 

32 

31.82 

3.34 

31.81 

3.48 

31.79 

3.62 

31.78 

3.76 

32 

33 

32.82 

3.45 

32.80 

3.59 

32.79 

3.74 

32.77 

3.88 

33 

34 

33.81 

3.55 

33.80 

3.70 

33.78 

3.85 

33.76 

4.00 

34 

35 

34.81 

3.66 

34.79 

3.81 

34.78 

3.96 

34.76 

4.11 

35 

36 

35.80 

3.76 

35.79 

3.92 

35.77 

4.08 

35.75 

4.23 

36 

37 

36.80 

3.87 

36.78 

4.03 

36.76 

4.19 

36.74 

4.35 

37 

38 

37.79 

3.97 

37.77 

4.14 

37.76 

4.30 

37.74 

4.47 

38 

39 

38.79 

4.08 

38.77 

4.25 

38.75 

4.41 

38.73 

4.58 

39 

40 

39.78 

4.18 

39.76 

4.35 

39.74 

4.53 

39.72 

4.70 

40 

41 

40.78 

4.29 

40.76 

4.46 

40.74 

4.64 

40.72 

4.82 

41 

42 

41.77 

4.39 

41.75 

4.57 

41.73 

4.75 

41.71 

4.94 

42 

43 

42.76 

4.49 

42.74 

4.68 

42.72 

4.87 

42.70 

5.05 

43 

44 

43.76 

4.60 

43.74 

4.79 

43.  72 

4.98 

43.70 

5.17 

44 

45 

44.75 

4.70 

44.73 

4.90 

44.71 

5.09 

44.69 

5.29 

45 

46 

45.75 

4.81 

45.  73 

5.01 

45.70 

5.21 

45.68 

5.41 

46 

47 

46.74 

4.91 

46.72 

5.12 

46.  70 

5.32 

46.67 

5.52 

47 

48 

47.74 

5.02 

47.71 

5.23 

47.  69 

5.43 

47.67 

5.64 

48 

49 

48.73 

5.12 

48.71 

5.33 

48.69 

5.55 

48.66 

5.76 

49 

50 

49.73 

5.23 

49.70 

5.44 

49.68 

5.66 

49.65 

5.88 

50 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

03 

5 

8< 

1°.  • 

83^ 

c- 

83J^ 

83^ 

i 

20 


TABLE  4.-TRAVEKSE  TABLE. 


a 
i 

6°. 

6M°. 

6X2°. 

GH°. 

O 

P 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

51 

50.72 

5.33 

50.70 

5.55 

50.67 

5.77 

50.65 

5.99 

51 

52 

51.72 

5.44 

51.69 

5.66 

51.67 

5.89 

51.64 

6.11 

52 

53 

52.71 

5.54 

52.68 

5.77 

52.66 

6.00 

52.63 

6.23 

53 

54 

53.70 

5.64 

53.68 

5.88 

53.65 

6.11 

53.63 

6.35 

54 

55 

54.70 

5.75 

54.67 

5.99 

54.65 

6.23 

54.62 

6.46 

55 

56 

55.69 

5.85 

55.67 

6.10 

55.64 

6.34 

55.61 

6.58 

56 

57 

56.69 

5.96 

56.66 

6.21 

56.63 

6.45 

56.60 

6.70 

57 

58 

57.68 

6.06 

57.66 

6.31 

57.63 

6.57 

57.60 

6.82 

58 

59 

58.68 

6.17 

58.65 

6.42 

58.62 

6.68 

58.59 

6.93 

59 

60 

59.67 

6.27 

59.64 

6.53 

59.61 

6.79 

59.58 

7.05 

60 

61 

60.67 

6.38 

60.64 

6.64 

60.61 

6.91 

60.58 

7.17 

61 

62 

61.66 

6.48 

61.63 

6.75 

61.60 

7.02 

61.57 

7.29 

62 

63 

62.65 

6.59 

62.63 

6.86 

62.60 

7.13 

62.56 

7.40 

63 

64 

63.65 

6.69 

63.62 

6.97 

63.59 

7.25 

63.56 

7.52 

64 

65 

64.64 

6.79 

64.  61 

7.08 

64.58 

7.36 

64.55 

7.64 

65 

66 

65.64 

6.90 

65.61 

7.19 

65.58 

7.47 

65.54 

7.76 

66 

67 

66.63 

7.00 

66.60 

7.29 

66.57 

7.58 

66.54 

7.88 

67 

08 

67.63 

7.11 

67.60 

7.40 

67.56 

7.70 

67.53 

7.99 

68 

69 

68.62 

7.21 

68.59 

7.51 

68.56 

7.81 

68.52 

8.11 

69 

70 

69.62 

7.32 

69.58 

7.62 

69.55 

7.92 

69.51 

8.23 

70 

71 

70.61 

7.42 

70.58 

7.73 

70.54 

8.04 

70.51 

8.35 

71 

72 

71.61 

7.53 

71.57 

7.84 

71.54 

8.15 

71.50 

8.46 

72 

73 

72.60 

7.63 

72.57 

7.95 

72.53 

8.26 

72.49 

8.58 

73 

74 

73.  59 

7.74 

73.56 

8.06 

73.52 

8.38 

73.49 

8.70 

74 

75 

74.  59 

7.84 

74.55 

8.17 

74.52 

8.49 

74.48 

8.82 

75 

76 

75.58 

7.94 

75.55 

8.27 

75.51 

8.60 

75.47 

8.93 

76 

77 

76.58 

8.05 

76.54 

8.38 

76.51 

8.72 

76.47 

9.05 

77 

78 

77.57 

8.15 

77.54 

8.49 

77.50 

8.83 

77.46 

9.17 

78 

79 

78.57 

8.26 

78.53 

8.60 

78.49 

8.94 

78.45 

9.29 

79 

80 

79.56 

8.36 

79.53 

8.71 

79.49 

9.06 

79.45 

9.40 

80 

81 

80.56 

8.47 

80.52 

8.82 

80.48 

9.17 

80.44 

9.52 

81 

82 

81.55 

8.57 

81.51 

8.93 

81.47 

9.28 

81.43 

9.64 

82 

83 

82.55 

8.68 

82.51 

9.04 

82.47 

9.40 

82.42 

9.76 

83 

84 

83.54 

8.78 

83.50 

9.14 

83.46 

9.51 

83.42 

9.87 

84 

85 

84.53 

8.88 

84.50 

9.25 

84.45 

9.62 

84.41 

9.99 

85 

86 

85.53 

8.99 

85.49 

9.36 

85.45 

9.74 

85.40 

10.11 

86 

87 

86.52 

9.09 

86.48 

9.47 

86.44 

9.85 

86.40 

10.23 

87 

88 

87.52 

9.20 

87.48 

9.58 

87.43 

9.96 

87.39 

10.34 

88 

89 

88.51 

9.30 

88.47 

9.69 

88.43 

10.08 

88.38 

10.  46 

89 

90 

89.51 

9.41 

89.47 

9.80 

89.42 

10.19 

89.38 

10.58 

90 

91 

90.50 

9.51 

90.46 

9.91 

90.42 

10.30 

90.37 

10.70 

91 

92 

91.50 

9.62 

91.45 

10.02 

91.41 

10.41 

91.36 

10.81 

92 

93 

92.49 

9.72 

92.45 

10.12 

92.40 

10.53 

92.36 

10.  93 

93 

94 

93.49 

9.83 

93.44 

10.23 

93.40 

10.64 

93.35 

11.05 

94 

95 

94.48 

9.93 

94.44 

10.34 

94.39 

10.75 

94.34 

11.17 

95 

96 

95.  47 

10.03 

95.43 

10.45 

95.38 

10.87 

95.33 

11.28 

96 

97 

96.47 

10.14 

96.42 

10.56 

96.38 

10.98 

96.33 

11.40 

97 

98 

97.  46 

10.24 

97.42 

10.67 

97.37 

11.09 

97.32 

11.52 

98 

99 

98.46 

10.35 

98.41 

10.78 

98.36 

11.21 

98.31 

11.64 

99 

100 

99.45 

10.45 

99.41 

10.89 

99.36 

11.32 

99.31 

11.75 

100 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

c3 

C3 

03 

i 

Q 

84°. 

83^°. 

83^°. 

83^°. 

3 

9 

21 


TABLE  4.-TRAVERSE  TABLE. 


2 

r 

7^ 

r. 

VA 

°- 

VA 

e 

i 

sr 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

i 

i 

0.99 

0.12 

0.99 

0.13 

0.99 

0.13 

0.99 

0.13 

i 

2 

1.99 

0.24 

1.98 

0.25 

1.98 

0.26 

1.98 

0.27 

2 

3 

2.98 

0.37 

2.98 

0.38 

2.97 

0.39 

2.97 

0.40 

3 

4 

3.97 

0.49 

3.97 

0.50 

3.97 

0.52 

3.96 

0.54 

4 

5 

4.96 

0.61 

4.96 

0.63 

4.96 

0.65 

4.95 

0.67 

5 

6 

5.96 

0.73 

5.95 

0.76 

5.95 

0.78 

5.95 

0.81 

6 

7 

6.95 

0.85 

6.94 

0.88 

6.94 

0.91 

6.94 

0.94 

7 

8 

7.94 

0.97 

7.94 

1.01 

7.93 

1.04 

7.93 

1.08 

8 

9 

8.93 

1.10 

8.93 

.14 

8.92 

1.17 

8.92 

1.21 

9 

10 

9.93 

1.22 

9.92 

.26 

9.91 

1.31 

9.91 

1.35 

10 

11 

10.92 

.34 

10.91 

.39 

10.91 

1.44 

10.90 

1.48 

11 

12 

11.91 

.46 

11.90 

.51 

11.90 

1.57 

11.  89 

1.62 

12 

13 

12.90 

.58 

12.90 

.64 

12.89 

1.70 

12.88 

1.75 

13 

14 

13.90 

.71 

13.89 

1.77 

13.88 

1.83 

13.87 

1.89 

14 

15 

14.89 

.83 

14.88 

1.89 

14.87 

1.96 

14.86 

2.02 

15 

16 

15.88 

.95 

15.87 

2.02 

15.86 

2.09 

15.85 

2.16 

16 

17 

16.87 

2.07 

16.86 

2.15 

16.85 

2.22 

16.84 

2.29 

17 

18 

17.87 

2.19 

17.86 

2.27 

17.85 

2.35 

17.84 

2.43 

18 

19 

18.86 

2.32 

18.85 

2.40 

18.84 

2.48 

18.83 

2.56 

19 

20 

19.85 

2.44 

19.84 

2.52 

19.83 

2.61 

19.82 

2.70 

20 

21 

20.84 

2.56 

20.83 

2.65 

20.82 

2.74 

20.81 

2.83 

21 

22 

21.84 

2.68 

21.82 

2.78 

21.81 

2.87 

21.80 

2.97 

22 

23 

22.83 

2.80 

22.82 

2.90 

22.80 

3.00 

22.79 

3.10 

23 

24 

23.82 

2.92 

23.81 

3.03 

23.79 

3.13 

23.78 

3.24 

24 

25 

24.81 

3.05 

24.80 

3.15 

24.79 

3.26 

24.77 

3.37 

25 

26 

25.81 

3.17 

25.79 

3.28 

25.78 

3.39 

25.76 

3.51 

26 

27 

26.80 

3.29 

26.78 

3.41 

26.77 

3.52 

26.75 

3.64 

27 

28 

27.79 

3.41 

27.78 

3.53 

27.76 

3.65 

27.74 

3.78 

28 

29 

28.78 

3.53 

28.77 

3.66 

28.75 

3.79 

28.74 

3.91 

29 

30 

29.78 

3.66 

29.76 

3.79 

29.74 

3.92 

29.73 

4.05 

30 

31 

30.77 

3.78 

30.75 

3.91 

30.73 

4.05 

30.72 

4.18 

31 

32 

31.76 

3.90 

31.74 

4.04 

31.73 

4.18 

31.71 

4.32 

32 

33 

32.75 

4.02 

32.74 

4.16 

32.72 

4.31 

32.70 

4.45 

33 

34 

33.75 

4.14 

33.73 

4.29 

33.71 

4.44 

33.69 

4.58 

34 

35 

34.74 

4.27 

34.72 

.42 

34.70 

4.57 

34.68 

4.72 

35 

36 

35.73 

4.39 

35.71 

.54 

35.69 

4.70 

35.67 

4.85 

36 

37 

36.72 

4.51 

36.70 

.67 

36.68 

4.83 

36.66 

4.99 

37 

38 

37.72 

4.63 

37.70 

.80 

37.67 

4.96 

37.65 

5.12 

38 

39 

38.71 

4.75 

38.69 

.92 

38.67 

5.09 

38.64 

5.26 

39 

40 

39.70 

4.87 

39.68 

5.05 

39.66 

5.22 

39.63 

5.39 

40 

41 

40.69 

6.00 

40.67 

5.17 

40.65 

5.35 

40.63 

5.53 

41 

42 

41.69 

5.12 

41.  66 

5.30 

41.64 

5.48 

41.62 

5.66 

42 

43 

42.68 

5.24 

42.66 

5.43 

42.63 

5.61 

42.61 

5.80 

43 

44 

43.67 

5.36 

43.65 

5.55 

43.62 

5.74 

43.60 

5.93 

44 

45 

44.67 

5.48 

44.64 

5.68 

44.62 

5.87 

44.59 

6.07 

45 

46 

45.66 

5.61 

45.63 

5.81 

45.61 

6.00 

45.58 

6.20 

46 

47 

46.65 

5.73 

46.62 

5.93 

46.60 

6.13 

46.57 

6.34 

47 

48 

47.64 

5.85 

47.62 

6.06 

47.59 

6.27 

47.56 

6.47 

48 

49 

48.63 

5.97 

48.61 

6.18 

48.58 

6.40 

48.55 

6.61 

49 

50 

49.63 

6.09 

49.60 

6.31 

49.57 

6.53 

49.54 

6.74 

50 

^ 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1   8 

a 

03 

a 

C3 

3 

ft 

8C 

823 

4°- 

821 

4°. 

82i 

4°. 

-S 
.2 
ft 

22 


TABLE  4.— TRAVERSE  TABLE. 


B 

7°. 

7M° 

7^° 

73/0 

B 

m 

4   • 

£ 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

50.62 

6.22 

50.59 

6.44 

50.56 

6.66 

50.53 

6.88 

51 

52 

51.  61 

6.34 

51.58 

6.56 

51.56 

6.79 

51.53 

7.01 

52 

53 

52.60 

6.46 

52.58 

6.69 

52.55 

6.92 

52.52 

7.15 

53 

54 

53.00 

6.58 

53.57 

6.81 

53.54 

7.05 

53.51 

7.28 

54 

55 

54.59 

6.70 

54.56 

6.94 

54.53 

•7.18 

54.50 

7.42 

55 

56 

55.58 

6.82 

55.55 

7.07 

55.52 

7.31 

55.49 

7.55 

56 

57 

56.58 

6.95 

56.54 

7.19 

56.51 

7.44 

56.48 

7.69 

57 

58 

57.57 

7.07 

57.54 

7.32 

57.50 

7.57 

57.47 

7.82 

58 

59 

58.56 

7.19 

58.53 

7.45 

58.50 

7.70 

58.46 

7.96 

59 

60 

59.55 

7.31 

59.52 

7.57 

59.49 

7.83 

59.45 

8.09 

60 

61 

60.55 

7.43 

60.51 

7.70 

60.48 

7.96 

60.44 

8.23 

61 

62 

61.54 

7.56 

61.50 

7.82 

61.47 

8.09 

61.43 

8.36 

62 

63 

62.53 

7.68 

62.50 

7.95 

62.46 

8.22 

62.42 

8.50 

63 

64 

63.52 

7.80 

63.49 

8.08 

63.45 

8.35 

63.42 

8.63 

64 

65 

64.52 

7.92 

64.48 

8.20 

64.44 

8.48 

64.41 

•8.77 

65 

66 

65.51 

8.04 

65.47 

8.33 

65.44 

8.61 

65.40 

8.90 

66 

67 

66.50 

8.17 

66.46 

8.46 

66.43 

8.75 

66.39 

9.04 

67 

68 

67.49 

8.29 

67.46 

8.58 

67.42 

8.88 

67.38 

9.17 

68 

69 

68.49 

8.41 

68.45 

8.71 

68.41 

9.01 

68.37 

9.30 

69 

70 

69.48 

8.53 

69.44 

8.83 

69.40 

9.14 

69.36 

9.44 

70 

71 

70.47 

8.65 

70.43 

8.96 

70.39 

9.27 

70.35 

9.57 

71 

72 

71.46 

8.77 

71.42 

9.09 

71.38 

9.40 

71.34 

9.71 

72 

73 

72.46 

8.90 

72.42 

9.21 

72.38 

9.53 

72.33 

9.84 

73 

74 

73.45 

9.02 

73.41 

9.34 

73.37 

9.66 

73.32 

9.98 

74 

75 

74.44 

9.14 

74.40 

9.46 

74.36 

9.79 

74.31 

10.11 

75 

76 

75.43 

9.26 

75.39 

9.59 

75.35 

9.92 

75.31 

10.25 

76 

77 

76.  43 

9.38 

76.38 

9.72 

76.  34 

10.05 

76.30 

10.38 

77 

78 

77.42 

9.51 

77.38 

9.84 

77.33 

10.18 

77.29 

10.52 

78 

79 

78.41 

9.63 

78.37 

9.97 

78.32 

10.31 

78.28 

10.65 

79 

80 

79.40 

9.75 

79.36 

10.10 

79.32 

10.44 

79.27 

10.79 

80 

81 

80.40 

9.87 

80.35 

10.22 

80.31 

10.57 

80.26 

10.92 

81 

82 

81.39 

9.99 

81.34 

10.35 

81.30 

10.70 

81.25 

11.06 

82 

83 

82.38 

10.12 

82.34 

10.47 

82.29 

10.83 

82.24 

11.19 

83 

84 

83.37 

10.24 

83.33 

10.60 

83.28 

10.96 

83.23 

11.33 

84 

85 

84.37 

10.  36 

84.32 

10.73 

84.27 

11.09 

84.22 

11.46 

85 

86 

85.36 

10.48 

85.31 

10.85 

85.26 

11.23 

85.21 

11.60 

86 

87 

86.35 

10.60 

86.30 

10.98 

86.26 

11.36 

86.21 

11.73 

87 

88 

87.34 

10.72 

87.30 

11.11 

87.25 

11.49 

87.20 

11.87 

88 

89 

88.34 

10.85 

88.29 

11.23 

88.24 

11.62 

88.19 

12.00 

89 

90 

89.33 

10.97 

89.28 

11.36 

89.23 

11.75 

89.18 

12.14 

90 

91 

90.32 

11.09 

90.27 

11.48 

90.22 

11.88 

90.17 

12.27 

91 

92 

91.31 

11.21 

91.26 

11.61 

91.21 

12.01 

91.16 

12.41 

92 

93 

92.31 

11.33 

92.26 

11.74 

92.20 

12.14 

92.15 

12.54 

93 

94 

93.30 

11.46 

93.25 

11.86 

93.20 

12.27 

93.14 

12.68 

94 

95 

94.29 

11.58 

94.24 

11.99 

94.19 

12.40 

94.13 

12.81 

95 

96 

95.28 

11.70 

95.23 

12.12 

95.18 

12.53 

95.12 

12.95 

96 

97 

96.28 

11.82 

96.  22 

12.24 

96.17 

12.66 

96.11 

13.08 

97 

98 

97.27 

11.94 

97.22 

12.37 

97.16 

12.79 

97.10 

13.22 

98 

99 

98.26 

12.07 

98.21 

12.49 

98.15 

12.92 

98.10 

13.35 

99 

100 

99.  25 

12.19 

99.20 

12.62 

99.14 

13.05 

99.09 

13.49 

100 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

I 

83°. 

82%°. 

82^°- 

82^°. 

1 

Q 

23 


TABLE  4. -TRAVERSE  TABLE. 


H 

8°. 

8M°- 

VA°. 

m°. 

Distance. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0.99 

0.14 

0.99 

0.14 

0.99 

0.15 

0.99 

0.15 

1 

2 

1.98 

0.28 

1.98 

0.29 

1.98 

0.30 

1.98 

0.30 

2 

3 

2.97 

0.42 

2.97 

0.43 

2.97 

0.44 

2.97 

0.46 

3 

4 

3.96 

0.56 

3.96 

0.57 

3.96 

0.59 

3.95 

0.61 

4 

5 

4.95 

0.70 

4.96 

0.72 

4.95 

0.74 

4.94 

0.76 

5 

6 

5.94 

0.84 

5.94 

0.86 

5.93 

0.89 

5.93 

0.91 

6 

7 

6.93 

0.97 

6.93 

1.00 

6.92 

1.03 

6.92 

1.06 

7 

8 

7.92 

l.li 

7.92 

1.15 

7.91 

1.18 

7.91 

1.22 

8 

9 

8.91 

1.25 

8.91 

1.29 

8.90 

1.33 

8.90 

1.37 

9 

10 

9.90 

1.39 

9.90 

1.43 

9.89 

1.48 

9.88 

1.52 

10 

11 

10.89 

1.53 

10.89 

1.58 

10.88 

1.63 

10.87 

1.67 

11 

12 

11.88 

1.67 

11.88 

1.72 

11.87 

1.77 

11.86 

1.83 

12 

13 

12.  87 

1.81 

12.87 

1.87 

12.  86 

1.92 

12.85 

1.98 

13 

14 

13.86 

1.95 

13.86 

2.01 

13.  85 

2.07 

13.84 

2.13 

14 

15 

14.85 

2.09 

14.84 

2.15 

14.84 

2.22 

14.83 

2.28 

15 

16 

15.84 

2.23 

15.83 

2.30 

15.82 

2.36 

15.81 

2.43 

16 

17 

16.83 

2.37 

16.  82 

2.44 

16.81 

2.51 

16.80 

2.59 

17 

18 

17.82 

2.51 

17.81 

2.58 

17.80 

2.66 

17.79 

2.74 

18 

19 

18.82 

2.64 

18.80 

2.73 

18.79 

2.81 

18.78 

2.89 

19 

20 

19.81 

2.78 

19.79 

2.87 

19.78 

2.96 

19.77 

3.04 

20 

21 

20.80 

2.92 

20.78 

3.01 

20.77 

3.10 

20.76 

3.19 

21 

22 

21.79 

3.06 

21.77 

3.16 

21.  76 

3.25 

21.74 

3.35 

22 

23 

22.78 

3.20 

22.76 

3.30 

22.75 

3.40 

22.73 

3.50 

23 

54 

23.77 

3.34 

23.75 

3.44 

23.  74 

3.55 

23.72 

3.65 

24 

25 

24.76 

3.48 

24.74 

3.59 

24.73 

3.70 

24.71 

3.80 

25 

26 

25.75 

3.62 

25.73 

3.73 

25.71 

3.84 

25.70 

3.96 

26 

27 

26.74 

3.76 

26.  72 

3.87 

26.70 

3.99 

26.69 

4.11 

27 

28 

27.73 

3.90 

27.71 

4.02 

27.69 

4.14 

27.67 

4.26 

28 

29 

28.72 

4.04 

28.70 

4.16 

28.68 

4.29 

28.66 

4.41 

29 

30 

29.71 

4.18 

29.69 

4.30 

29.67 

4.43 

29.65 

4.56 

30 

31 

30.70 

4.31 

30.68 

4.45 

30.66 

4.58 

30.64 

4.72 

31 

32 

31.69 

4.45 

31.67 

4.59 

31.65 

4.73 

31.63 

4.87 

32 

33 

32.68 

4.59 

32.66 

4.74 

32.64 

4.88 

32.62 

5.  02 

33 

34 

33.67 

4.73 

33.65 

4.88 

33.63 

5.03 

33.60 

5.17 

34 

35 

34.66 

4.87 

34.64 

5.02 

34.62 

5.17 

34.59 

5.32 

35 

36 

35.  65 

5.01 

35.63 

5.17 

35.60 

5.32 

35.58 

5.48 

36 

37 

36.64 

5.15 

36.62 

5.31 

36.59 

5.47 

36.57 

5.63 

37 

38 

37.63 

5.29 

37.61 

5.45 

37.58 

5.62 

37.56 

5.78 

38 

39 

38.62 

5.43 

38.60 

5.60 

38.57 

5.76 

38.55 

5.93 

39 

40 

39.61 

5.57 

39.59 

5.74 

39.56 

5.91 

39.53 

6.08 

40 

41 

40.60 

5.71 

40.58 

5.88 

40.55 

6.06 

40.52 

6.24 

41 

42 

41.59 

5.85 

41.57 

6.03 

41.54 

6.21 

41.51 

6.39 

42 

43 

42.58 

5.98 

42.  55 

6.17 

42.53 

6.36 

42.50 

6.54 

43 

44 

43.57 

6.12 

43.54 

6.31 

43.52 

6.50 

43.49 

6.69 

44 

45 

44.56 

6.26 

44.53 

6.46 

44.51 

6.65 

44.48 

6.85 

45 

46 

45.55 

6.40 

45.52 

6.60 

45.49 

6.80 

45.46 

7.00 

46 

47 

46.54 

6.54 

46.51 

6.74 

46.48 

6.95 

46.45 

7.15 

47 

48 

47.53 

6.68 

47.50 

6.89 

47.47 

7.09 

47.44 

7.30 

48 

49 

48.  52 

6.82 

48.49 

7.03 

48.46 

7.24 

48.43 

7.45 

49 

50 

49.51 

6.96 

49.48 

7.17 

49.45 

7.39 

49.42 

7.61 

50 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

c 

a 

.2 

82°. 

81M°- 

8iy2°. 

81&°. 

-i 

Q 

24 


TABLE  4.— TRAVERSE  TABLE. 


2 

8°. 

8M°- 

81A°- 

8%°. 

2 

B 

9 

1 

m 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

'    51 

50.50 

7.10 

50.47 

7.32 

50.44 

7.54 

50.41 

7.76 

51 

52 

51.49 

7.24 

51.  46 

7.46 

51.43 

7.69 

51.39 

7.91 

52 

53 

52.48 

7.38 

52.45 

7.61 

52.42 

7.83 

52.38 

8.06 

53 

54 

53.47 

7.52 

53.44 

7.75 

53.41 

7.98 

53.37 

8.21 

54 

55 

54.46 

7.65 

54.  43 

7.89 

54.40 

8.13 

54.36 

8.37 

55 

56 

55.  40 

7.79 

55.42 

8.04 

55.38 

8.28 

55.35 

8.52 

56 

57 

56.45 

7.93 

56.41 

8.18 

5(5.  37 

8.43 

56.34 

8.67 

57 

58 

57.44 

8.07 

57.40 

8.32 

57.36 

8.57 

57.32 

8.82 

58 

59 

58.43 

8.21 

58.39 

8.47 

58.35 

8.72 

58.  31 

8.98 

59 

60 

59.42 

8.35 

59.38 

8.61 

59.34 

8.87 

59.30 

9.13 

60 

61 

60.41 

8.49 

60.37 

8.75 

60.33 

9.02 

60.29 

9.28 

61 

62 

61.40 

8.63 

61.36 

8.90 

61.32 

9.16 

61.28 

9.43 

62 

63 

62.  39 

8.77 

62.35 

9.04 

62.  31 

9.31 

62.27 

9.58 

63 

64 

63.38 

8.91 

63.34 

9.18 

63.  30 

9.46 

63.26 

9.74 

64 

65 

64.37 

9.05 

64.  33 

9.  33 

64.29 

9.61 

64.24 

9.89 

65 

66 

65.  36 

9.19 

65.32 

9.47 

65.28 

9.76 

65.23 

10.  04 

66 

67 

66.35 

9.32 

66.  31 

9.61 

66.26 

9.90 

66.  22 

10.19 

67 

68 

67.  34 

9.46 

67.30 

9.76 

67.25 

10.  05 

67.21 

10.34 

68 

69 

68.33 

9.60 

68.29 

9.90 

68.24 

10.20 

68.20 

10.50 

69 

70 

69.32 

9.74 

69.28 

10.04 

69.23 

10.35 

69.19 

10.65 

70 

71 

70.31 

9.88 

70.27 

10.19 

70.22 

10.49 

70.17 

10.80 

71 

72 

71.30 

10.02 

71.25 

10.33 

71.21 

10.64 

71.16 

10.95 

72 

73 

72.29 

10.  16 

72.  24 

10.47 

72.20 

10.79 

72.  15 

11.11 

73 

74 

73.28 

10.30 

73.  23 

10.62 

73.19 

10.94 

73.14 

11.26 

74 

75 

74.27 

10.44 

74.22 

10.76 

74.18 

11.09 

74.  13 

11.41 

75 

76 

75.26 

10.58 

75.  21 

10.91 

75.  17 

11.23 

75.12 

11.56 

76 

77 

76.  25 

10.72 

76.  20 

11.05 

76.15 

11.  38 

76.10 

11.71 

77 

78 

77.24 

10.86 

77.19 

11.19 

77.14 

11.53 

77.09 

11.87 

78 

79 

78.23 

10.99 

78.18 

11.34 

78.13 

11.  68 

78.08 

12.02 

79 

80 

79.22 

11.13 

79.17 

11.48 

79.12 

11.82 

79.07 

12.17 

80 

81 

80.21 

11.27 

80.16 

11.62 

80.11 

11.97 

80.06 

12.32 

81 

82 

81.20 

11.41 

81.  15 

11.77 

81.10 

12.12 

81.05 

12.47 

82 

83 

82.19 

11.55 

82.14 

11.91 

82.09 

12.27 

82.03 

12.63 

83 

84 

83.18 

11.69 

83.  13 

12.05 

83.08 

12.42 

83.02 

12.78 

84 

85 

84.17 

11.83 

84.12 

12.20 

84.07 

12.  56 

84.01 

12.  93 

85 

86 

85.  16 

11.97 

85.11 

12.34 

85.  06 

12.71 

85.00 

13.08 

86 

87 

86.15 

12.11 

86.  10 

12.48 

86.  04 

12.86 

85.  99 

13.  23 

87 

88 

87.14 

12.25 

87.09 

12.63 

87.03 

13.01 

86.98 

13.39 

88 

89 

88.13 

12.39 

88.08 

12.77 

88.02 

13.16 

87.96 

13.54 

89 

90 

89.12 

12.53 

89.07 

12.91 

89.01 

13.30 

88.95 

13.69 

90 

91 

90.11 

12.66 

90.06 

13.06 

90.00 

13.45 

89.94 

13.84 

91 

92 

91.10 

12.80 

91.05 

13.  20 

90.99 

13.60 

90.93 

14.00 

92 

93 

92.09 

12.94 

92.04 

13.34 

91.98 

13.75 

91.92 

14.15 

93 

94 

93.  09 

13.08 

93.03 

13.49 

92.97 

13.89 

92.91 

14.30 

94 

95 

94.08 

13.22 

94.02 

13.63 

93.96 

14.04 

93.89 

14.45 

95 

96 

95.07 

13.36 

95.01 

13.78 

94.95 

14.19 

94.88 

14.60 

96 

97 

96.06 

13.50 

96.00 

13.92 

95.  93 

14.34 

95.87 

14.76 

97 

98 

97.05 

13.64 

96.99 

14.06 

96.  92 

14.49 

96.  86 

14.91 

98 

99 

98.04 

13.78 

97.98 

14.21 

97.91 

14.63 

97.85 

15.06 

99 

100 

99.03 

13.92 

98.97 

14.  35 

98.90 

14.78 

98.84 

15.21 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep, 

Lat. 

Dep. 

Lat. 

«j 
1 

§ 

82°. 

81%°. 

81^°. 

81M°- 

5 

25 


TABLE  4.— TRAVERSE  TABLE. 


ffl 

9°. 

9^° 

9M° 

9M° 

2 

I 

£ 

§ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.99 

0.16 

0.99 

0.16 

0.99 

0.17 

0.99 

0.17 

i 

2 

1.98 

0.31 

1.97 

0.32 

1.97 

0.33 

1.97 

0.34 

2 

2.96 

0.47 

2.96 

0.48 

2.96 

0.50 

2.96 

0.51 

3 

4 

3.95 

0.63 

3.95 

0.64 

3.95 

0.66 

3.94 

0.68 

4 

5 

4.94 

0.78 

4.93 

0.80 

4.93 

0.83 

4.93 

0.85 

5 

6 

5.93 

0.94 

5.92 

0.96 

5.92 

0.99 

5.91 

1.02 

6 

7 

6.91 

1.10 

6.91 

1.13 

6.90 

1.16 

6.90 

1.19 

7 

8 

7.90 

1.25 

7.90 

1.29 

7.89 

1.32 

7.88 

1.35 

8 

9 

8.89 

1.41 

8.88 

1.45 

8.88 

1.49 

8.87 

1.52 

9 

10 

9.88 

1.56 

9.87 

1.61 

9.86 

1.65 

9.86 

1.69 

10 

11 

10.86 

1.72 

10.86 

1.77 

10.85 

1.82 

10.84 

1.86 

11 

12 

11.85 

1.88 

11.84 

1.93 

11.84 

1.98 

11.83 

2.03 

12 

13 

12.84 

2.03 

12.83 

2.09 

12.82 

2.15 

12.81 

2.20 

13 

14 

13.83 

2.19 

13.82 

2.25 

13.81 

2.31 

13.80 

2.37 

14 

15 

14.82 

2.35 

14.80 

2  41 

14.79 

2.48 

14.78 

2.54 

15 

16 

15.80 

2.50 

15.79 

2.57 

15.78 

2.64 

15.77 

2.71 

16 

17 

16.79 

2.66 

16.78 

2.73 

16.77 

2.81 

16.75 

2.88 

17 

18 

17.78 

2.82 

17.77 

2.89 

17.75 

2.97 

17.74 

3.05 

18 

19 

18.77 

2.97 

18.75 

3.05 

18.74 

3.14 

18.73 

3.22 

19 

20 

19.75 

3.13 

19.74 

3.21 

19.73 

3.30 

19.71 

3.39 

20 

21 

20.74 

3.29 

20.73 

3.38 

20.71 

3.47 

20.70 

3.56 

21 

22 

21.73 

3.44 

21.71 

3.54 

21.70 

3.63 

21.68 

3.73 

22 

23 

22.72 

3.60 

22.70 

3.70 

22.68 

3.80 

22.67 

3.90 

23 

24 

23.70 

3.75 

23.69 

3.86 

23.67 

3.96 

23.65 

4.06 

24 

25 

24.  69 

3.91 

24.67 

4.02 

24.66 

4.13 

24.64 

4.23 

25 

26 

25.68 

4.07 

25.66 

4.18 

25.64 

4.29 

25.62 

4.40 

26 

27 

26.67 

4.22 

26.65 

4.34 

26.63 

4.46 

26.61 

4.57 

27 

28 

27.66 

4.38 

27.64 

4.50 

27.62 

4.62 

27.60 

4.74 

28 

29 

28.64 

4.54 

28.62 

4.66 

28.60 

4.79 

28.58 

4.91 

29 

30 

29.63 

4.69 

29.61 

4.82 

29.59 

4.95 

29.57 

5.08 

30 

31 

30.62 

4.85 

30.60 

4.98 

30.57 

5.12 

30.55 

5.25 

31 

32 

31.61 

5.01 

31.58 

5.14 

31.56 

5.28 

31.54 

5.42 

32 

33 

32.59 

5.16 

32.57 

5.30 

32.55 

5.45 

32.52 

5.59 

33 

34 

33.58 

5.32 

33.  56 

5.47 

33.53 

5.61 

33.51 

5.76 

34 

35 

34.57 

5.48 

34.54 

5.63 

34.52 

5.78 

34.49 

5.93 

35 

36 

35.56 

5.63 

35.  53 

5.79 

35.51 

5.94 

35.48 

6.10 

36 

37 

36.54 

5.79 

36.52 

5.95 

36.49 

6.11 

36.47 

6.27 

37 

38 

37.  53 

5.94 

37.51 

6.11 

37.48 

6.27 

37.45 

6.44 

38 

39 

3S.52 

6.10 

38.49 

6.27 

38.47 

6.44 

38.44 

6.60 

39 

40 

39.51 

6.26 

39.48 

6.43 

39.45 

6.60 

39.42 

6.77 

40 

41 

40.50 

6.41 

40.47 

6.59 

40.44 

6.77 

40.41 

6.94 

41 

42 

41.48 

6.57 

41.45 

6.75 

41.42 

6.92 

41.39 

7.11 

42 

43 

42.47 

6.73 

42.44 

6.91 

42.41 

7.10 

42.38 

7.28 

43 

44 

43.46 

6.88 

43.43 

7.07 

43.40 

7.26 

43.36 

7.45 

44 

45 

44.45 

7.04 

44.41 

7.23 

44.38 

7.43 

44.35 

7.62 

45 

46 

45.  43 

7.20 

45.40 

7.39 

45.37 

7.59 

45.34 

7.79 

46 

47 

46.42 

7.35 

46.39 

7.55 

46.36 

7.76 

46.32 

7.96 

47 

48 

47.41 

7.51 

47.38 

7.72 

47.34 

7.92 

47.31 

8.13 

48 

49 

48.40 

7.67 

48.36 

7.88 

48.33 

8.09 

48.29 

8.30 

49 

50 

49.38 

7.82 

49.35 

8.04 

49.32 

8.25 

49.28 

8.47 

50 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

| 

a 

§ 

5 

81°. 

80^°. 

80^°. 

W. 

h 

TABLE  4.— TRAVERSE  TABLE. 


gg 

9°. 

9M° 

9^° 

9%° 

b 

I 

ro" 

I 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

50.37 

7.98 

50.34 

8.20 

50.30 

8.42 

50.26 

8.64 

51 

52 

51.36 

8.13 

51.32 

8.36 

51.29 

8.58 

51.25 

8.81 

52 

53 

52.35 

8.29 

52.31 

8.52 

52.27 

8.75 

52.23 

8.98 

53 

54 

53.34 

8.45 

53.  30 

8.68 

53.26 

8.91 

53.22 

9.14 

54 

55 

54.32 

8.60 

54.28 

8.84 

54.25 

9.08 

54.21 

9.31 

55 

56 

55.31 

8.76 

55.27 

9.00 

55.23 

9.24 

55.19 

9.48 

56 

57 

56.  30 

8.92 

56.26 

9.16 

56.  22 

9.41 

56.18 

9.65 

57 

58 

57.29 

9.07 

57.25 

9.32 

57.20 

9.57 

57.16 

9.82 

58 

59 

58.27 

9.23 

58.  23 

9.48 

58.19 

9.74 

58.15 

9.99 

59 

60 

59.26 

9.39 

59.22 

9.64 

59.18 

9.90 

59.13 

10.16 

60 

61 

60.25 

9.54 

60.21 

9.81 

60.16 

10.07 

60.12 

10.33 

61 

62 

61.24 

9.70 

61.19 

9.97 

61.15 

10.23 

61.10 

10.50 

62 

63 

62.22 

9.86 

62.18 

10.13 

62.14 

10.40 

62.09 

10.67 

63 

64 

63.21 

10.01 

63.17 

10.29 

63.12 

10.56 

63.08 

10.84 

64 

65 

64.20 

10.17 

64.15 

10.45 

64.11 

10.73 

64.06 

11.01 

65 

66 

65.19 

10.32 

65.14 

10.61 

65.09 

10.89 

65.05 

11.18 

66 

67 

66.18 

10.48 

(56.  13 

10.77 

66.08 

11.06 

66.03 

11.35 

67 

68 

67.16 

10.64 

67.12 

10.  93 

67.07 

11.22 

67.02 

11.52 

68 

69 

68.15 

10.79 

68.  10 

11.09 

68.05 

11.39 

68.00 

11.69 

69 

70 

69.14 

10.95 

69.09 

11.25 

69.04 

11.55 

68.99 

11.85 

70 

71 

70.13 

11.11 

70.08 

11.41 

70.03 

11.72 

69.97 

12.02 

71 

72 

71.11 

11.26 

71.06 

11.57 

71.01 

11.88 

70.96 

12.19 

72 

73 

72.10 

11.42 

72.05 

11.  73 

72.00 

12.05 

71.95 

12.36 

73 

74 

73.09 

11.58 

73.  04 

11.89 

72.99 

12.21 

72.93 

12.53 

74 

75 

74.08 

11.73 

74.02 

12.06 

73.97 

12.38 

73.92 

12.70 

75 

76 

75.06 

11.89 

75.01 

12.22 

74.96 

12.54 

74.90 

12.87 

76 

77 

76.05 

12.05 

76.00 

12.38 

75.94 

12.71 

75.  89 

13.04 

77 

78 

77.04 

12.20 

76.99 

12.54 

76.93 

12.87 

76.87 

13.21 

78 

79 

78.03 

12.  36 

77.97 

12.70 

77.92 

13.04 

77.86 

13.38 

79 

80 

79.02 

12.51 

78.96 

12.86 

78.90 

13.20 

78.84 

13.55 

80 

81 

80.00 

12.67 

79.95 

13.02 

79.89 

13.37 

79.83 

13.72 

81 

82 

80.99 

12.83 

80.93 

13.18 

80.88 

13.53 

80.82 

13.89 

82 

83 

81.98 

12.98 

81.92 

13.34 

81.86 

13.70 

81.80 

14.06 

83 

84 

82.97 

13.14 

82.91 

13.50 

82.85 

13.86 

82.79 

14.23 

84 

85 

83.95 

13.30 

83.89 

13.66 

83.83 

14.03 

83.77 

14.39 

85 

86 

84.94 

13.45 

.  84.88 

13.82 

84.82 

14.19 

84.76 

14.56 

86 

87 

85.93 

13.61 

85.87 

13.98 

85.81 

14.36 

85.74 

14.73 

87 

88 

86.  92 

13.  77 

86.  86 

14.15 

86.79 

14.52 

86.  73 

14.90 

88 

89 

87.90 

13.92 

87.84 

14.31 

87.78 

14.69 

87.71 

15.07 

89 

90 

88.89 

14.08 

88.83 

14.47 

88.77 

14.85 

88.70 

15.24 

90 

91 

89.88 

14.24 

89.82 

14.63 

89.75 

15.02 

89.69 

15.41 

91 

92 

90.87 

14.  39 

90.80 

14.79 

90.74 

15.18 

90.07 

15.58 

92 

93 

91.86 

14.55 

91.79 

14.95 

91.72 

15.35 

91.66 

15.75 

93 

94 

92.84 

14.70 

92.78 

15.  11 

92.71 

15.51 

92.64 

15.92 

94 

95 

93.  83 

14.  86 

93.76 

15.27 

93.70 

15.68 

93.  63 

16.09 

95 

96 

94.82 

15.02 

94.75 

15.43 

94.  68 

15.84 

94.61 

16.26 

96 

97 

95.  81 

15.17 

95.74 

15.59 

95.67 

16.01 

95.60 

16.  43 

97 

98 

96.79 

15.  33 

96.  73 

15.75 

96.  66 

16.17 

96.58 

16.60 

98 

99 

97.78 

15.49 

97.71 

15.91 

97.64 

16.34 

97.57 

16.77 

99 

100 

98.77 

15.64 

98.70 

16.07 

98.63 

16.50 

98.56 

16.93 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

'1 

81°. 

80%°. 

80^°. 

•*£ 

5 

27 


TABLE  4.— TRAVERSE  TABLE. 


a 

• 

10°. 

10^°. 

10^°. 

10J°. 

1 

• 
| 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

i 

0.98 

0.17 

0.98 

0.18 

0.98 

0.18 

0.98 

0.19 

1 

2 

1.97 

0.35 

1.97 

0.36 

1.97 

0.36 

1.96 

0.37 

2 

3 

2.95 

0.52 

2.95 

0.53 

2.95 

0.55 

2.95 

0.56 

3 

4 

3.94 

0.69 

3.94 

0.71 

3.93 

0.73 

3.93 

0.75 

4 

5 

4.92 

0.87 

4.92 

0.89 

4.92 

0.91 

4.91 

0.93 

5 

6 

5.91 

1.04 

5.90 

1.07 

5.90 

1.09 

5.89 

1.12 

6 

7 

6.89 

1.22 

6.89 

1.25 

6.88 

1.28 

6.88 

1.31 

7 

8 

7.88 

1.39 

7.87 

1.42 

7.87 

1.46 

7.86 

1.49 

8 

9 

8.86 

1.56 

8.86 

1.60 

8.85 

1.64 

8.84 

1.68 

9 

10 

9.85 

1.74 

9.84 

1.78 

9.83 

1.82 

9.82 

1.87 

10 

11 

10.83 

1.91 

10.82 

1.96 

10.82 

2.00 

10.81 

2.05 

11 

12 

11.82 

2.08 

11.81 

2.14 

11.80 

2.19 

11.79 

2.24 

12 

13 

12.80 

2.26 

12.79 

2.31 

12.78 

2.37 

12.77 

2.42 

13 

14 

13.79 

2.43 

13.  78 

2.49 

13.77 

2.  55 

13.75 

2.61 

14 

15 

14.77 

2.60 

14.76 

2.67 

14.75 

2.73 

14.74 

2.80 

15 

1C 

15.76 

2.78 

15.74 

2.85 

15.73 

2.92 

15.72 

2.98 

16 

17 

16.74 

2.95 

16.73 

3.03 

16.72 

3.10 

16.  70 

3.17 

17 

18 

17.73 

3.13 

17.71 

3.20 

17.70 

3.28 

17.68 

3.36 

18 

19 

18.71 

3.30 

18.70 

3.38 

18.68 

3.46 

18.67 

3.54 

19 

20 

19.70 

3.47 

19.68 

3.56 

19.67 

3.64 

19.65 

3.73 

20 

21 

20.68 

3.65 

20.66 

3.74 

20.65 

3.83 

20.63 

3.92 

21 

22 

21.67 

3.82 

21.65 

3.91 

21.63 

4.01 

21.  61 

4.10 

22 

23 

22.65 

3.99 

22.63 

4.09 

22.61 

4.19 

22.60 

4.29 

23 

24 

23.64 

4.17 

23.62 

4.27 

23.60 

4.37 

23.58 

4.48 

24 

25 

24.62 

4.34 

24.60 

4.45 

24.58 

4.56 

24.56 

4.66 

25 

26 

25.61 

4.51 

25.59 

4.63 

25.56 

4.74 

25.54 

4.85 

26 

27 

26.59 

4.69 

26.57 

4.80 

26.55 

4.92 

26.53 

5.04 

27 

28 

27.57 

4.86 

27.55 

4.98 

27.53 

5.10 

27.51 

5.22 

28 

29 

28.56 

5.04 

28.54 

5.16 

28.51 

5.28 

28.49 

5.41 

29 

30 

29.54 

5.21 

29.52 

5.34 

29.50 

5.47 

29.47 

5.60 

30 

31 

30.53 

5.38 

30.51 

5.52 

30.48 

5.65 

30.46 

5.78 

31 

32 

31.51 

5.56 

31.49 

5.69 

31.46 

5.83 

31.  44 

5.97 

32 

33 

32.50 

5.73 

32.  47 

5.87 

32.45 

6.01 

32.42 

6.16 

33 

34 

33.48 

5.90 

33.46 

6.05 

33.  43 

6.20 

33.40 

6.34 

34 

35 

34.47 

6.08 

34.44 

6.23 

34.41 

6.38 

34.39 

6.53 

35 

36 

35.  45 

6.25 

35.43 

6.41 

35.40 

6.56 

35.37 

6.71 

36 

37 

36.  44 

6.42 

36.  41 

6.58 

36.  38 

6.74 

36.  35 

6.90 

37 

38 

37.42 

6.60 

37.39 

6.76 

37.36 

6.92 

37.33 

7.09 

38 

39 

38.41 

6.77 

38.38 

6.  94 

38.35 

7.11 

38.32 

7.27 

39 

40 

39.39 

6.95 

39.36 

7.12 

39.33 

7.29 

39.30 

7.46 

40 

41 

40.38 

7.12 

40.35 

7.30 

40.31 

7.47 

40.28 

7.65 

41 

42 

41.36 

7.29 

41.33 

7.47 

41.30 

7.65 

41.26 

7.83 

42 

43 

42.35 

7.47 

42.  31 

7.65 

42.28 

7.84 

42.25 

8.02 

43 

44 

43.33 

7.64 

43.30 

7.83 

43.26 

8.02 

43.  23 

8.21 

44 

45 

44.32 

7.81 

44.28 

8.01 

44.25 

8.20 

44.21 

8.39 

45 

46 

45.30 

7.99 

45.27 

8.19 

45.23 

8.38 

45.19 

8.  58 

46 

47 

46.29 

8.16 

46.25 

8.36 

46.21 

8.57 

46.  18 

8.77 

47 

48 

47.27 

8.34 

47.23 

8.54 

47.20 

8.75 

47.  16 

8.95 

48 

49 

48.26 

8.51 

48.22 

8.72 

48.18 

8.93 

48.14 

9.14 

49 

50 

49.24 

8.68 

49.20 

8.90 

49.16 

9.11 

49.12 

9.33 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

80°. 

79%°. 

79^°. 

79M°- 

Q 

28 


TABLE  4.— TRAVERSE  TABLE. 


U 

10°. 

10M°. 

W. 

lOSr. 

g 

1 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

50.23 

8.86 

50.19 

9.08 

50.15 

9.29 

50.10 

9.51 

51 

52 

51.21 

9.03 

51.17 

9.25 

51.13 

9.48 

51.09 

9.70 

52 

53 

52.19 

9.20 

52.15 

9.43 

52.11 

9.66 

52.07 

9.89 

53 

54 

53.18 

9.38 

53.14 

9.61 

53.10 

9.84 

53.05 

10.07 

54 

55 

54.16 

9.55 

54.12 

9.79 

54.08 

10.02 

54.03 

10.26 

55 

56 

55.15 

9.72 

55.11 

9.96 

55.06 

10.21 

55.02 

10.45 

56 

57 

56.13 

9.90 

56.09 

10.14 

56.05 

10.39 

56.00 

10.63 

57 

58 

57.12 

10.07 

57.  07 

10.32 

57.03 

10.57 

56.98 

10.82 

58 

59 

58.10 

10.  25 

58.00 

10.50 

58.01 

10.75 

57.96 

11.00 

59 

60 

59.09 

10.42 

59.04 

10.68 

59.00 

10.93 

58.95 

11.19 

60 

61 

60.07 

10.59 

60.03 

10.85 

59.98 

11.12 

59.93 

11.38 

61 

62 

61.06 

10.77 

61.01 

11.03 

60.96 

11.30 

60.91 

11.56 

62 

63 

62.04 

10.94 

61.99 

11.21 

61.95 

11.48 

61.89 

11.75 

63 

64 

63.03 

11.11 

62.98 

11.39 

62.93 

11.66 

62.  8S 

11.94 

64 

65 

64.01 

11.29 

63.96 

1.1.57 

63.91 

11.85 

63.86 

12.12 

65 

66 

65.00 

11.46 

64.95 

11.74 

64.89 

12.03 

64.84 

12.31 

66 

67 

65.  98 

11.63 

65.93 

11.92 

65.88 

12.21 

65.82 

12.50 

67 

68 

66.97 

11.81 

66.91 

12.10 

66.86 

12.39 

66.81 

12.68 

68 

69 

67.95 

11.98 

67.90 

12.  28 

67.84 

12.57 

67.79 

12.87 

69 

70 

68.94 

12.16 

68.88 

12.46 

68.83 

12.76 

68.77 

13.06 

70 

71 

69.92 

12.33 

69.87 

12.63 

69.  81 

12.94 

69.75 

13.24 

71 

72 

70.91 

12.50 

70.85 

12.81 

70.79 

13.12 

70.74 

13.43 

72 

73 

71.89 

12.  68 

71.83 

12.99 

71.78 

13.30 

71.72 

13.62 

73 

74 

72.88 

12.85 

72.82 

13.17 

72.  76 

13.49 

72.70 

13.80 

74 

75 

73.86 

13.02 

73.80 

13.35 

73.74 

13.  67 

73.  68 

13.99 

75 

76 

74.85 

13.20 

74.79 

13.52 

74.73 

13.85 

74.67 

14.18 

76 

77 

75.83 

13.37 

75.77 

13.70 

75.71 

14.03 

75.65 

14.36 

77 

78 

76.82 

13.54 

76.76 

13.88 

76.69 

14.21 

76.63 

14.55 

78 

79 

77.80 

13.72 

77.74 

14.06 

77.68 

14.40 

77.61 

14.74 

79 

80 

78.78 

13.89 

78.72 

14.24 

78.66 

14.58 

78.60 

14.92 

80 

81 

79.77 

14.07 

79.71 

14.41 

79.64 

14.76 

79.58 

15.11 

81 

82 

80.75 

14.24 

80.69 

14.59 

80.63 

14.94 

80.56 

15.29 

82 

83 

81.74 

14.41 

81.68 

14.77 

81.61 

15.13 

81.54 

15.48 

83 

84 

82.72 

14.59 

82.66 

14.95 

82.59 

15.31 

82.53 

15.67 

84 

85 

83.71 

14.76 

83.64 

15.13 

83.58 

15.49 

83.51 

15.85 

85 

86 

84.69 

14.93 

84.  03 

15.30 

84.56 

15.67 

84.49 

16.  04 

86 

87 

85.68 

15.11 

85.61 

15.48 

85.54 

15.85 

85.47 

16.23 

87 

88 

86.66 

15.28 

86.60 

15.66 

86.53 

16.04 

86.46 

16.41 

88 

89 

87.65 

15.45 

87.58 

15.84 

87.51 

16.22 

87.44 

16.60 

99 

90 

88.  63 

15.63 

88.56 

16.01 

88.49 

16.40 

88.42 

16.79 

90 

91 

89.62 

15.80 

89.  55 

16.19 

89.48 

16.58 

89.40 

16.97 

91 

92 

90.60 

15.98 

90.53 

16.37 

90.46 

16.77 

90.39 

17.  16 

92 

93 

91.59 

16.15 

91.52 

16.55 

91.44 

16.95 

91.37 

17.35 

93 

94 

92.57 

16.32 

92.50 

16.73 

92.43 

17.13 

92.35 

17.53 

94 

95 

93.56 

16.50 

93.48 

16.90 

93.41 

17.31 

93.33 

17.72 

95 

96 

94.54 

16.67 

94.47 

17.08 

94.39 

17.49 

94.32 

17.91 

96 

97 

95.53 

16.84 

95.45 

17.26 

95.38 

17.68 

95.30 

18.09 

97 

98 

90.51 

17.02 

96.44 

17.44 

96.36 

17.86 

96.28 

18.28 

•98 

99 

97.50 

17.19 

97.42 

17.  62 

97.34 

18.04 

97.26 

18.47 

99 

100 

98.48 

17.36 

98.40 

17.79 

98.33 

18.22 

98.25 

18.65 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

80°. 

79%°. 

79^°. 

im 

1 
fi 

29 


TABLE  4. -TRAVERSE  TABLE. 


0 

11 

11} 

C- 

11} 

i°- 

112 

i°. 

d 

r 

r 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

i 

0.98 

0.19 

0.98 

0.20 

0.98 

0.20 

0.98 

0.20 

i 

2 

1.96 

0.38 

1.96 

0.39 

1.96 

0.40 

1.96 

0.41 

2 

3 

2.94 

0.57 

2.94 

0.59 

2.94 

0.60 

2.94 

0.61 

3 

4 

3.93 

0.76 

3.92 

0.78 

3.92 

0.80 

3.92 

0.81 

4 

5 

4.91 

0.95 

4.90 

0.98 

4.90 

1.00 

4.90 

1.02 

5 

6 

5.89 

1.14 

5.88 

1.17 

5.88 

1.20 

5.87 

1.22 

6 

7 

6.87 

1.34 

6.87 

1.37 

6.86 

1.40 

6.85 

1.43 

7 

8 

7.85 

1.53 

7.85 

1.56 

7.84 

1.59 

7.83 

1.63 

8 

9 

8.83 

1.72 

8.83 

1.76 

8.82 

1.79 

8.81 

1.83 

9 

10 

9.82 

1.91 

9.81 

1.95 

9.80 

1.99 

9.79 

2.04 

10 

11 

10.80 

2.10 

10.79 

2.15 

10.78 

2.19 

10.77 

2.24 

11 

12 

11.78 

2.29 

11.77 

2.34 

11.76 

2.39 

11.75 

2.44 

12 

13 

12.76 

2.48 

12.75 

2.54 

12.74 

2.59 

12.73 

2.65 

13 

14 

13.74 

2.67 

13.73 

2.73 

13.72 

2.79 

13.71 

2.85 

14 

15 

14.72 

2.86 

14.71 

2.93 

14.70 

2.99 

14.69 

3.05 

15 

16 

15.71 

3.05 

15.69 

3.12 

15.68 

3.19 

15.  66 

3.26 

16 

17 

16.69 

3.24 

16.67 

3.32 

16.66 

3.39 

16.64 

3.46 

17 

18 

17.67 

3.43 

17.65 

3.51 

17.64 

3.59 

17.62 

3.66 

18 

19 

18.65 

3.63 

18.63 

3.71 

18.62 

3.79 

18.60 

3.87 

19 

20 

19.63 

3.82 

19.62 

3.90 

19.60 

3.99 

19.58 

4.07 

20 

21 

20.61 

4.01 

20.60 

.10 

20.58 

4.19 

20.56 

4.28 

21 

22 

21.  60 

4.20 

21.58 

.29 

21.56 

4.39 

21.54 

4.48 

22 

23 

22.58 

4.39 

22.  56 

.49 

22.54 

4.59 

22.52 

4.68 

23 

24 

23.56 

4.58 

23.54 

.68 

23.52 

4.78 

23.50 

4.89 

24 

25 

24.54 

4.77 

24.52 

.88 

24.50 

4.98 

24.48 

5.09 

25 

26 

25.52 

4.96 

25.50 

5.07 

25.48 

5.18 

25.46 

5.29 

26 

27 

26.50 

5.15 

26.48 

5.27 

26.46 

5.38 

26.43 

5.50 

27 

28 

27.49 

5.34 

27.46 

5.46 

27.44 

5.58 

27.41 

5.70 

28 

29 

28.47 

5.53 

28.44 

5.66 

28.42 

5.78 

28.39 

5.91 

29 

30 

29.45 

5.72 

29.42 

5.85 

29.40 

5.98 

29.37 

6.11 

30 

31 

30.43 

5.92 

30.40 

6.05 

30.38 

6.18 

30.35 

6.31 

31 

32 

31.41 

6.11 

31.39 

6.24 

31.36 

6.38 

31.33 

6.52 

32 

33 

32.39 

6.30 

32.  37 

6.44 

32.34 

6.58 

32.31 

6.72 

33 

34 

33.38 

6.49 

33.35 

6.63 

33.32 

6.78 

33.29 

6.92 

34 

35 

34.36 

6.68 

34.33 

6.83 

34.30 

6.98 

34.27 

7.13 

35 

36 

35.34 

6.87 

35.31 

7.02 

35.28 

7.18 

35.25 

7.33 

36 

37 

36.32 

7.06 

36.29 

7.22 

36.26 

7.38 

36.22 

7.53 

37 

38 

37.30 

7.25 

37.27 

7.41 

37.24 

7.58 

37.20 

7.74 

38 

39 

38.28 

7.44 

38.25 

7.61 

38.22 

7.78 

38.18 

7.94 

39 

40 

39.27 

7.63 

39.23 

7.80 

39.20 

7.97 

39.16 

8.15 

40 

41 

40.25 

7.82 

40.21 

8.00 

40.18 

8.17 

40.14 

8.35 

41 

42 

41.23 

8.01 

41.19 

8.19 

41.16 

8.37 

41.12 

8.55 

42 

43 

42.21 

8.20 

42.17 

8.39 

42.14 

8.57 

42.  Id 

8.76 

43 

44 

43.19 

8.40 

43.15 

8.58 

43.12 

8.77 

43.08 

8.96 

44 

45 

44.17 

8.59 

44.14 

8.78 

44.10 

8.97 

44.06 

9.16 

45 

46 

45.  15 

8.78 

45.12 

8.97 

45.08 

9.17 

45.04 

9.37 

46 

47 

46.  14 

8.97 

46.10 

9.17 

46.06 

9.37 

46.02 

9.57 

47 

48 

47.12 

9.16 

47.08 

9.36 

47.04 

9.57 

46.99 

9.77 

48 

49 

48.10 

9.35 

48.06 

9.56 

48.02 

9.77 

47.97 

9.98 

49 

50 

49.08 

9.54 

49.04 

9.75 

49.00 

9.97 

48.95 

10.18 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

i 

C3 

.2 

I 

I 

79 

° 

78» 

i°- 

78} 

i°. 

78} 

i°. 

a 

30 


TABLE  4.— TRAVERSE  TABLE. 


a 
| 

11°. 

HM°. 

H^°. 

11%°. 

O 

£ 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

50.06 

9.73 

50.02 

9.95 

49.98 

10.17 

49.93 

10.39 

51 

52 

51.04 

9.92 

51.00 

10.14 

50.96 

10.37 

50.91 

10.59 

52 

53 

52.03 

10.11 

51.98 

10.34 

51.94 

10.57 

51.89 

10.79 

53 

54 

53.01 

10.30 

52.96 

10.53 

52.92 

10.77 

52.87 

11.00 

54 

55 

53.99 

10.49 

53.94 

10.73 

53.90 

10.97 

53.85 

11.20 

55 

56 

54.97 

10.  69 

54.92 

10.93 

54.88 

11.16 

54.83 

11.40 

56 

57 

55.95 

10.88 

55.90 

11.12 

55.86 

11.36 

55.  81 

11.61 

57 

58 

56.93 

11.07 

56.89 

11.32 

56.84 

11.56 

56.78 

11.81 

58 

59 

57.92 

11.26 

57.87 

11.51 

57.82 

11.76 

57.76 

12.01 

59 

60 

58.90 

11.45 

58.85 

11.71 

58.80 

11.96 

58.74 

12.22 

60 

61 

59.88 

11.64 

59.83 

11.90 

59.78 

12.16 

59.72 

12.42 

61 

62 

60.86 

11.83 

60.81 

12.10 

60.76 

12.36 

60.70 

12.63 

62 

63 

61.84 

12.02 

61.79 

12.29 

61.74 

12.56 

61.68 

12.83 

63 

64 

62.82 

12.21 

62.77 

12.49 

62.72 

12.76 

62.66 

13.03 

64 

65 

63.81 

12.40 

63.75 

12.68 

63.70 

12.96 

63.64 

13.24 

65 

66 

64.79 

12.59 

64.73 

12.88 

64.68 

13.16 

64.62 

13.44 

66 

67 

65.  77 

12.78 

65.71 

13.  07 

65.65 

13.36 

65.60 

13.64 

67 

68 

66.75 

12.98 

66.69 

13.27 

66.  63 

13.56 

66.58 

13.85 

68 

69 

67.73 

13.17 

67.67 

13.46 

67.61 

13.76 

67.55 

14.05 

69 

70 

68.71 

13.36 

68.65 

13.66 

68.59 

13.96 

68.53 

14.25 

70 

71 

69.70 

13.55 

69.64 

13.85 

69.57 

14.16 

69.51 

14.46 

71 

72 

70.68 

13.74 

70.62 

14.05 

70.55 

14.35 

70.49 

14.66 

72 

73 

71.66 

13.  93 

71.60 

14.24 

71.  53 

14.55 

71.47 

14.87 

73 

74 

72.64 

14.12 

72.58 

14.44 

72.51 

14.75 

72.45 

15.07 

74 

75 

73.62 

14.31 

73.  56 

14.63 

73.49 

14.95 

73.43 

15.27 

75 

76 

74.60 

14.50 

74.54 

14.83 

74.47 

15.15 

74.41 

15.48 

76 

77 

75.59 

14.69 

75.52 

15.02 

75.45 

15.35 

75.39 

15.68 

77 

78 

76.57 

14.88 

76.50 

15.22 

76.43 

15.55 

76.37 

15.88 

78 

79 

77.55 

15.07 

77.48 

15.41 

77.41 

15.75 

77.34 

16.09 

79 

80 

78.53 

15.26 

78.46 

15.61 

78.39 

15.95 

78.32 

16.29 

80 

81 

79.51 

15.46 

79.44 

15.80 

79.37 

16.15 

79.30 

16.49 

81 

82 

80.49 

15.65 

80.42 

16.00 

80.35 

16.35 

80.28 

16.70 

82 

83 

81.48 

15.84 

81.41 

16.19 

81.33 

16.55 

81.26 

16.90 

83 

84 

82.46 

16.03 

82.39 

16.39 

82.31 

16.75 

82.24 

17.11 

84 

85 

83.44 

16.22 

83.37 

16.58 

83.  29 

16.95 

83.  22 

17.31 

85 

86 

84.42 

16.41 

84.35 

16.78 

84.27 

17.15 

84.20 

17.51 

86 

87 

85.40 

16.60 

85.33 

16.97 

85.25 

17.35 

85.18 

17.72 

87 

88 

86.38 

16.79 

86.31 

17.17 

86.23 

17.54 

86.16 

17.92 

88 

89 

87.36 

16.98 

87.29 

17.36 

87.21 

17.74 

87.14 

18.12 

89 

90 

88.35 

17.17 

88.27 

17.56 

88.19 

17.94 

88.11 

18.33 

90 

91 

89.33 

17.36 

89.25 

17.75 

89.17 

18.14 

89.09 

18.53 

91 

92 

90.31 

17.55 

90.23 

17.  95 

90.15 

18.34 

90.07 

18.74 

92 

93 

91.29 

17.75 

91.21 

18.14 

91.13 

18.54 

91.05 

18.94 

93 

94 

92.27 

17.94 

92.19 

18.34 

92.11 

18.74 

92.03 

19.14 

94 

95         93.  25 

18.13 

93.17 

18.53 

93.  09 

18.94 

93.01 

19.35 

95 

% 

94.24 

18.32 

94.16 

18.73 

94.07 

19.14 

93.99 

19.55 

96 

97 

95.22 

18.51 

95.14 

18.92 

95.05 

19.34 

94.97 

19.75 

97 

98 

96.20 

18.70 

96.12 

19.12 

96.03 

19.54 

95.95 

19.96 

98 

99 

97.18 

18.89 

97.10 

19.31 

97.01 

19.74 

96.93 

20.16 

99 

100 

98.16 

19.08 

98.08 

19.51 

97.99 

19.94 

97.90 

20.36 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

1 

79°. 

78%°. 

78^°. 

78M°- 

1 

31 


TABLE   1.— TRAVERSE  TABLE. 


e 

K 

12°. 

12M°- 

12^°. 

12%°. 

q 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

i 

0.98 

0.21 

0.98 

0.21 

0.98 

0.22 

0.98 

0.22 

i 

2 

1.96 

0.42 

1.95 

0.42 

1.95 

0.43 

1.95 

0.44 

2 

3 

2.93 

0.62 

2.93 

0.64 

2.93 

0.  65 

2.93 

0.66 

3 

4 

3.91 

0.83 

3.91 

0.85 

3.91 

0.87 

3.90 

0.88 

4 

5 

4.89 

1.04 

4.89 

1.06 

4.88 

1.08 

4.88 

1.10 

5 

f> 

5.87 

1.25 

5.86 

1.27 

5.86 

1.30 

5.85 

1.32 

6 

7 

6.85 

1.46 

6.84 

1.49 

6.83 

1.52 

6.83 

1.54 

7 

8 

7.83 

1.66 

7.82 

1.70 

7.81 

1.73 

7.80 

1.77 

8 

9 

8.80 

1.87 

8.80 

1.91 

8.79 

1.95 

8.78 

1.99 

9 

10 

9.78 

2.08 

9.77 

2.12 

9.76 

2.16 

9.75 

2.21 

10 

11 

10.76 

2.29 

10.75 

2.33 

10.74 

2.38 

10.73 

2.43 

11 

12 

11.74 

2.49 

11.73 

2.55 

11.72 

2.60 

11.70 

2.65 

12 

13 

12.72 

2.70 

12.70 

2.76 

12.69 

2.81 

12.68 

2.87 

13 

14 

13.69 

2.91 

13.68 

2.97 

13.67 

3.03 

13.65 

3.09 

14 

15 

14.67 

3.12 

14.66 

3.18 

14.64 

3.25 

14.63 

3.31 

15 

10 

15.65 

3.33 

15.64 

3.39 

15.  62 

3.46 

15.  01 

3.  53 

16 

17 

16.63 

3.53 

16.  61 

3.61 

16.  GO 

3.B8 

16.58 

3.75 

17 

18 

17.61 

3.74 

17.59 

3.82 

17.57 

3.90 

17.  56 

3.97 

18 

19 

18.58 

3.95 

18.57 

4.03 

18.55 

4.11 

18.53 

4.19 

19 

20 

19.56 

4.16 

19.54 

4.24 

19.53 

4.33 

19.51 

4.41 

20 

21 

20.54 

4.37 

20.52 

4.46 

20.50 

4.55 

20.48 

4.63 

21 

22 

21.52 

4.57 

21.50 

4.67 

21.48 

4.76 

21.46 

4.86 

22 

23 

22.50 

4.78 

22.48 

4.88 

22.45 

4.98 

22.43 

5.08 

23 

24 

23.48 

4.99 

23.45 

5.09 

23.43 

5.19 

23.41 

5.30 

24 

25 

24.45 

5.20 

24.43 

5.30 

24.41 

5.41 

24.38 

5.52 

25 

26 

25.43 

5.41 

25.41 

5.52 

25.38 

5.63 

25.  36 

5.74 

26 

27 

26.41 

5.61 

26.39 

5.73 

26.36 

5.84 

26.33 

5.96 

27 

28 

27.39 

5.82 

27.36 

5.94 

27.34 

6.06 

27.31 

6.18 

28 

29 

28.37 

6.03 

28.34 

6.15 

28.31 

6.28 

28.28 

6.40 

29 

30 

29.34 

6.24 

29.32 

6.37 

29.29 

6.49 

29.26 

6.62 

30 

31 

30.32 

6.45 

30.29 

6.58 

30.27 

6.71 

30.24 

6.84 

31 

32 

31.30 

6.65 

31.27 

6.79 

31.24 

6.93 

31.21 

7.06 

32 

33 

32.28 

6.86 

32.25 

7.00 

32.22 

7.14 

32.19 

7.28 

33 

34 

33.  26 

7.07 

33.23 

7.21 

33.19 

7.36 

33.16 

7.50 

34 

35 

34.24 

7.28 

34.20 

7.43 

34.17 

7.58 

34.14 

7.72 

35 

36 

35.21 

7.48 

35.18 

7.64 

35.15 

7.79 

35.11 

7.95 

36 

37 

36.  19 

7.69 

36.16 

7.85 

36.  12 

8.01 

36.09 

8.17 

37 

38 

37.17 

7.90 

37.  13 

8.06 

37.  10 

8.22 

37.06 

8.39 

38 

39 

38.15 

8.11 

38.11 

8.27 

38.  08 

8.44 

38.04 

8.61 

39 

40 

39.13 

8.32 

39.09 

8.49 

39.05 

8.66 

39.01 

8.83 

40 

41 

40.10 

8.52 

40.07 

8.70 

40.03 

8.87 

39.99 

9.05 

41 

42 

41.08 

8.73 

41.04 

8.91 

41.00 

9.09 

40.96 

9.27 

42 

43 

42.06 

8.94 

42.02 

9.12 

41.98 

9.31 

41.94 

9.49 

43 

44 

43.04 

9.15 

43.00 

9.34 

42.96 

9.52 

42.92 

9.71 

44 

45 

44.02 

9.36 

43.98 

9.55 

43.93 

9.74 

43.89 

9.93 

45 

46 

44.99 

9.56 

44.95 

9.76 

44.91 

9.96 

44.  87 

10.  15 

46 

47 

45.97 

9.77 

45.93 

9.97 

45.89 

10.17 

45.84 

10.37 

47 

48 

46.95 

9.98 

46.91 

10.18 

46.86 

10.39 

46.  82 

10.59 

48 

49 

47.93 

10.19 

47.88 

10.40 

47.84 

10.61 

47.79 

10.81 

49 

50 

48.91 

10.40 

48.86 

10.61 

48.81 

10.82 

48.77 

11.03 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

78°. 

77^°. 

77M°. 

77M°- 

5 

32 


TABLE  4.— TRAVERSE  TABLE. 


0 
I 

u 

)0 

12, 

4°- 

12 

^°- 

12^ 

*f 

1 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

£ 
1 

51 

49.89 

10.00 

49.84 

10.82 

49.79 

11.04 

49.74 

11.26 

51 

52 

50.86 

10.81 

50.82 

11.03 

50.77 

11.25 

50.72 

11.48 

52 

53 

51.84 

11.02 

51.79 

11.25 

51.74 

11.47 

51.09 

11.70 

53 

54 

52.82 

11.  23 

52.77 

11.46 

52.72 

11.69 

52.  67 

11.92 

54 

55 

53.  80 

11.44 

53.75 

11.67 

53.  70 

11.90 

53.  64 

12.14 

55 

56 

54.78 

11.04 

54.72 

11.88 

54.  07 

12.12 

54.62 

12.  30 

50 

57 

55.  75 

11.85 

55.  70 

12.09 

55.  05 

12.34 

55.  59 

12.58 

57 

58 

56.  73 

12.06 

56.  68 

12.  31 

50.63 

12.  55 

56.  57 

12.80 

58 

59 

57.71 

12.27 

57.66 

12.52 

57.60 

12.77 

57.  55 

13.  02 

59 

00 

58.09 

12.  41 

58.03 

12.73 

58.58 

12.99 

58.52 

13.24 

00  | 

01 

59.67 

12.  08 

59.61 

12.94 

59.55 

13.20 

59.50 

13.  46 

61 

02 

60.05 

12.89 

CO.  59 

13.16 

00.53 

13.42 

60.47 

13.68 

62 

03 

61.02 

13.10 

01.57 

13.37 

61.51 

13.  04 

61.45 

13.  90 

63 

04 

62.00 

13.31 

62.54 

13.58 

62.48 

13.85 

62.42 

14.12 

04 

05 

63.58 

13.51 

63.  52 

13.79 

63.46 

14.  07 

63.  40 

14.35 

65 

GO 

64.50 

13.72 

64.50 

14.00 

64.44 

14.29 

64.37 

14.57 

66 

07 

05.54 

13.  93 

05.  47 

14.22 

05.  41 

14.50 

05.  35 

14.  79 

07 

08 

6G.51 

14.14 

00.45 

14.43 

66.39 

14.72 

66.  32 

15.01 

68 

69 

07.49 

14.35 

07.43 

14.64 

67.36 

14.93 

67.30 

15.23 

69 

70 

68.47 

14.55 

68.41 

14.85 

68.34 

15.15 

68.27 

15.45 

70 

71 

69.45 

14.  76 

69.38 

15.06 

69.32 

15.  37 

09.  25 

15.  67 

71 

72 

70.43 

14.  97 

70.30 

15.  28 

70.29 

15.58 

70.22 

15.89 

72 

73 

71.40 

15.18 

71.  34 

15.49 

71.27 

15.80 

71.20 

16.11 

73 

74 

72.38 

15.39 

72.32 

15.70 

72.  25 

16.02 

72.18 

16.  33 

74 

75 

73.30 

15.59 

73.  29 

15.91 

73.22 

16.  23 

73.  15 

16.  55 

75 

70 

74.34 

15.80 

74.  27 

16.13 

74.20 

16.  45 

74.13 

16.77 

70 

77 

75.32 

16.01 

75.25 

16.34 

75.17 

16.  07 

75.10 

16.99 

77 

78 

76.30 

16.  22 

76.  22 

16.55 

76.15 

16.  88 

70.08 

17.21 

78 

79 

77.27 

16.43 

77.  20 

16.  70 

77.13 

17.10 

77.05 

17.44 

79 

80 

78.25 

16.63 

78.18 

10.97 

78.10 

17.32 

78.03 

17.  60 

80 

81 

79.23 

16.84 

79.16 

17.19 

79.08 

17.53 

79.00 

17.88 

81 

82 

80.21 

17.05 

80.13 

17.40 

80.00 

17.75 

79.  98 

18.10 

82 

83 

81.19 

17.26 

81.11 

17.  01 

81.03 

17.  96 

80.95 

18.32 

83 

84 

82.  10 

17.40 

82.  09 

17.  82 

82.01 

18.18 

81.93 

18.  54 

84 

85 

83.  14 

17.  07 

83.  06 

18.04 

82.99 

18.40 

82.90 

18.76 

85  ! 

80 

84.12 

17.88 

84.04 

18.25 

83.  96 

18.01 

83.88 

18.  9S 

86 

87 

85.  10 

18.09 

85.02 

18.40 

84.  94 

18.83 

84.85 

19.  20 

87 

88 

80.08 

18.  30 

86.00 

IS.  07 

85.91 

19.05 

85.83 

19.  42 

88 

89 

87.00 

IS.  50 

86.97 

18.88 

86.89 

19.  20 

86.81 

19.04 

89 

90 

88.03 

18.71 

87.95 

19.10 

87.87 

19.48 

87.78 

19.86 

90 

91 

89.01 

18.92 

88.93 

19.31 

88.84 

19.70 

88.76 

20.08 

91 

92 

89.  99 

19.  13 

89.91 

19.  52 

89.82 

19.91 

89.  73 

20.  30 

92 

93 

90.97 

19.  34 

90.88 

19.  73 

90.80 

20.  13 

90.71 

20.  52 

93 

94 

91.95 

19.  54 

91.86 

19.94 

91.77 

20.35 

91.68 

20.75 

94 

95 

92.92 

19.75 

92.  84 

20.10 

92.75 

20.  56 

92.  06 

20.  97 

95 

96 

93.  90 

19.96 

93.81 

20.  37 

93.  72 

20.78 

93.  63 

21.  19 

90 

97 

94.88 

20.17 

94.79 

20.58 

94.  70 

20.  99 

94.61 

21.41 

97 

98 

95.  80 

20.38 

95.77 

20.79 

95.  68 

21.21 

95.58 

21.  03 

98 

99 

96.  84 

20.58 

96.75 

21.01 

96.  65 

21.43 

96.  56 

21.85 

99 

100 

97.81 

20.79 

97.72 

21.22 

97.63 

21.04 

97.  53 

22.07 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

3 

78 

772 

r- 

77} 

i°- 

77> 

i°- 

2 
C 

41479—10- 


TABLE  4. -TRAVERSE  TABLE. 


0 

13°. 

13M°- 

13M°. 

13?<T. 

0 

i 

| 

1 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

§ 

i 

0.97 

0.22 

0.97 

0.23 

0.97 

0.23 

0.97 

0.24 

1 

2 

1.95 

0.45 

1.95 

0.46 

1.94 

0.47 

1.94 

0.48 

2 

3 

2.92 

0.67 

2.92 

0.69 

2.92 

0.70 

2.91 

0.71 

3 

4 

3.90 

0.90 

3.89 

0.92 

3.89 

0.93 

3.89 

0.95 

4 

5 

4.87 

1.12 

4.87 

1.15 

4.86 

1.17 

4.86 

1.19 

."; 

6 

5.85 

1.35 

5.84 

1.38 

5.83 

1.40 

5.83 

1.43 

6 

7 

6.82 

1.57 

6.81 

1.60 

6.81 

1.63 

6.80 

1.66 

7 

8 

7.79 

1.80 

7.79 

1.83 

7.78 

1.87 

7.77 

1.90 

8 

9 

8.77 

2.02 

8.76 

2.06 

8.75 

2.10 

8.74 

2.14 

9 

10 

9.74 

2.25 

9.73 

2.29 

9.72 

2.33 

-     9.71 

2.38 

10 

11 

10.72 

2.47 

10.71 

2.52 

10.70 

2.57 

10.68 

2.61 

11 

12 

11.69 

2.70 

11.68 

2.75 

11.67 

2.80 

11.66 

2.85 

12 

13 

12.67 

2.92 

12.65 

2.98 

12.64 

3.03 

12.63 

3.09 

13 

14 

13.64 

3.15 

13.63 

3.21 

13.  61 

3.27 

13.60 

3.33 

14 

15 

14.62 

3.37 

14.  60 

3.44 

14.59 

3.50 

14.57 

3.57 

15 

16 

15.59 

3.60 

15.57 

3.67 

15.56 

3.74 

15.54 

3.80 

1C, 

17 

16.56 

3.82 

16.  55 

3.90 

16.53 

3.97 

16.51 

4.04 

17 

18 

17.54 

4.05 

17.52 

4.13 

17.50 

4,20 

17.48 

4.28 

18 

19 

18.51 

4.27 

18.49 

4.35 

18.48 

4.44 

18.  46 

4.52 

19 

20 

19.49 

4.50 

19.47 

4.58 

19.45 

4.67 

19.43 

4.75 

20 

21 

20.  46 

4.72 

20.44 

4.81 

20.42 

4.90 

20.40 

4.99 

21 

22 

21.44 

4.95 

21.41 

5.04 

21.39 

5.14 

21.37 

5.23 

22 

23 

22.41 

5.17 

22.39 

5.27 

22.36 

5.37 

22.  34 

5.47 

23 

24 

23.38 

5.40 

23.36 

5.50 

23.  34 

5.60 

23.  31 

5.70 

24 

25 

24.  36 

5.62 

24.33 

5.73 

24.31 

5.84 

24.28 

5.94 

25 

26 

25.33 

5.85 

25.31 

5.96 

25.28 

6.07 

25.25 

6.18 

26 

27 

26.31 

6.07 

26.  28 

6.19 

26.25 

6.30 

26.  23 

6.42 

27 

28 

27.28 

6.30 

27.25 

6.42 

27.23 

6.54 

27.20 

6.66 

28 

29 

28.26 

6.52 

28.23 

6.65 

28.20 

6.77 

28.17 

6.  89 

29 

30 

29.23 

6.75 

29.20 

6.88 

29.17 

7.00 

29.14 

7.13 

30 

31 

30.21 

6.97 

30.17 

7.11 

30.14 

7.24 

30.11 

7.37 

31 

32 

31.18 

7.20 

31.15 

7.33 

31.12 

7.47 

31.08 

7.61 

32 

33 

32.  15 

7.42 

32.12 

7.56 

32.09 

7.70 

32.05 

7.84 

33 

34 

33.  13 

7.65 

33.09 

7.79 

33.06 

7.94 

33.  03 

8.08 

34 

35 

34.10 

7.87 

34.07 

8.02 

34.03 

8.17 

34.00 

8.32 

35 

36 

35.  08 

8.10 

35.04 

8.25 

35.01 

8.40 

34.97 

8.56 

36 

37 

36.05 

8.32 

36.02 

8.48 

35.98 

8.64 

35.94 

8.79 

37 

38 

37.03 

8.55 

36.99 

8.71 

36.95 

8.87 

36.91 

9.03 

38 

39 

38.00 

8.77 

37.96 

8.94 

37.92 

9.10 

37.88 

9.27 

39 

40 

38.97 

9.00 

38.94 

9.17 

38.89 

9.34 

38.85 

9.51 

40 

41 

39.95 

9.22 

39.91 

9.40 

39.87 

9.57 

39.83 

9.75 

41 

42 

40.92 

9.45 

40.88 

9.63 

40.84 

9.80 

40.80 

9.98 

42 

43 

41.90 

9.67 

41.86 

9.86 

41.81 

10.04 

41.77 

10.  22 

43 

44 

42.87 

9.90 

42.83 

10.08 

42.78 

10.27 

42.74 

10.46 

44 

45 

43.85 

10.12 

43.80 

10.31 

43.76 

10.51 

43.71 

10.70 

45 

46 

44.82 

10.35 

44.78 

10.54 

44.73 

10.74 

44.68 

10.93 

46 

47 

45.80 

10.57 

45.75 

10.77 

45.70 

10.97 

45.  65 

11.17 

47 

48 

46.77 

10.80 

46.72 

11.00 

46.  67 

11.21 

46.62 

11.41 

48 

49 

47.74 

11.02 

47.70 

11.23 

47.  65 

11.44 

47.  60 

11.65 

49 

50 

48.72 

11.25 

48.67 

11.46 

48.62 

11.67 

48.  57 

11.88 

50 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

I 

77°. 

76%°. 

ttr 

ife 

1 

5 

34 


I  * 


TABLE  4. -TRAVERSE  TABLE. 


OF 


o 

i 

13° 

13M° 

Wff 

1334° 

1 

§ 

8 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

| 

51 

49.  G9 

11.47 

49.64 

11.69 

49.59 

11.91 

49.54 

12.12 

51 

52 

50.67 

11.70 

50.  (.2 

11.92 

50.56 

12.14 

50.51 

12.36 

52 

53 

51.64 

11.92 

51.59 

12.15 

51.54 

12.37 

51.48 

12.60 

53 

54 

52.  62 

12.  15 

52.  56 

12.38 

52.  51 

12.61 

52.45 

12.84 

54 

55 

53.  59 

12.37 

53.54 

12.61 

53.48 

12.84 

53.42 

13.07 

55 

50 

54.  56 

12.60 

54.51 

12.84 

54.45 

13.  07 

54.40 

13.31 

56 

57 

55.54 

12.82 

55.48 

13.00 

55.43 

13.31 

55.  37 

13.55 

57 

58 

56.  51 

13.05 

56.  46 

13.29 

56.  40 

13.54 

56.  34 

13.79 

58 

59 

57.49 

13.27 

57.43 

13.52 

57.37 

13.77 

57.31 

14.02 

59 

GO 

58.  46 

13.50 

58.40 

13.75 

58.34 

14.01 

58.28 

14.26 

60 

61 

59.44 

13.72 

59.  38 

13.98 

59.31 

14.24 

59.25 

14.50 

61 

62 

60.  41 

13.95 

00.35 

14.21 

60.  29 

14.47 

60.22 

14.74 

62 

is 

61.39 

14.17 

61.32 

14.44 

61.20 

14.71 

61.19 

14.97 

•  63 

64 

62.36 

14.  40 

62.  30 

14.07 

62.  23 

14.94 

62.17 

15.21 

64 

65 

63.  33 

14.62 

63.27 

14.90 

63.20 

15.17 

63.14 

15.  45 

65 

M 

64.31 

14.85 

64.24 

15.13 

64.18 

15.41 

64.11 

15.69 

66 

67 

65.28 

15.07 

65.22 

15.30 

05.  15 

15.64 

65.  08 

15.92 

07 

68 

06.26 

15.30 

CO.  19 

15.  59 

60.12 

15.  87 

66.05 

16.16 

68 

69 

67.  23 

15.52 

67.  16 

15.  81 

07.09 

16.11 

67.02 

16.40 

69 

70 

68.21 

15.75 

68.14 

16.04 

68.07 

16.34 

67.99 

16.64 

70 

71 

69.18 

15.97 

69.  11 

16.27 

69.04 

16.57 

68.97 

16.88 

71 

72 

70.15 

16.20 

70.08 

10.  50 

70.01 

16.81 

69.94 

17.11 

72 

73 

71.13 

16.42 

71.06 

10.73 

70.98 

17.04 

70.91 

17.35 

73 

74 

72.10 

16.05 

72.03 

16.  96 

71.90 

17.27 

71.88 

17.59 

74 

75 

73.08 

16.87 

73.00 

17.19 

72.93 

17.51 

72.  85 

17.83 

75 

76 

74.05 

17.10 

73.98 

17.42 

73.90 

17.74 

73.82 

18.00 

76 

77 

75.03 

17.32 

74.95 

17.  65 

74.87 

17.98 

74.79 

18.30 

77 

78 

76.00 

17.55 

75.92 

17.88 

75.84 

18.21 

75.76 

18.54 

78 

79 

76.98 

17.77 

70.90 

18.11 

76.82 

18.44 

76.74 

18.78 

79 

80 

77.95 

18.00 

77.87 

18.34 

77.79 

18.68 

77.71 

19.01 

80 

81 

78.92 

18.22 

78.84 

18.57 

78.76 

18.91 

78.68 

19.25 

81 

82 

79.90 

18.45 

79.82 

18.79 

79.73 

19.14 

79.65 

19.49 

82 

83 

80.87 

18.67 

80.79 

19.02 

80.71 

19.  38 

80.  62 

19.73 

83 

84 

81.85 

18.90 

81.76 

19.25 

81.68 

19.  61 

81.59 

19.97 

84 

85 

82.  82 

19.12 

82.74 

19.48 

82.65 

19.84 

82.56 

20.20 

85 

80 

83.80 

19.  35 

83.71 

19.71 

83.62 

20.08 

83.54 

20.44 

86 

87 

84.77 

19.57 

84.  68 

19.94 

84.60 

20.31 

84.51 

20.08 

87 

88 

85.  74 

19.  80 

85.60 

20.  17 

85.57 

20.54 

85.48 

20.92 

88 

89 

80.72 

20.  02 

80.  63 

20.40 

80.54 

20.78 

86.  45 

21.15 

89 

90 

87.69 

20.25 

87.00 

20.03 

87.51 

21.01 

87.42 

21.39 

90 

91 

88.67 

20.47 

88.58 

20.86 

88.49 

21.24 

88.39 

21.63 

91 

92 

89.  64 

20.70 

89.  55 

21.09 

89.  40 

21.48 

89.30 

21.87 

92 

93 

90.  62 

20.92 

90.52 

21.32 

90.  43 

21.71 

90.33 

22.10 

93 

94 

91.59 

21.15 

91.50 

21.54 

91.40 

21.94 

91.31 

22.34 

94 

95 

92.57 

21.37 

92.47 

21.77 

92.38 

22.18 

92.28 

22.58 

95 

96 

93.54 

21.60 

93.44 

22.  00 

93.  35 

22.41 

93.25 

22.82 

96 

97 

94.51 

21.82 

94.42 

22.  23 

94.32 

22.  64 

94.22 

23.06 

97 

98 

95.49 

22.05 

95.39 

22.  46 

95.29 

22.88 

95.19 

23.29 

98 

99 

96.  46 

22.27 

90.30 

22.69 

90.  20 

23.11 

90.  10 

23.53 

99 

100 

97.44 

22.50 

97.34 

22.  92 

97.24 

23.  34 

97.13 

23.77 

100 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

JJ 

n 

77° 

76?  i° 

flaw 

76M° 

1 
P 

35 


TABLE  4.— TRAVERSE  TABLE. 


u 
I 

14°. 

14M°. 

14^°. 

H34°. 

2 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

i 

0.97 

0.24 

0.97 

0.25 

0.97 

0.25 

0.97 

0.25 

i 

2 

1.94 

0.48 

1.94 

0.49 

1.94 

0.50 

1.93 

0.51 

2 

3 

2.91 

0.73 

2.91 

0.74 

2.90 

0.75 

2.90 

0.  7(1 

3 

4 

3.88 

0.97 

3.88 

0.98 

3.87 

1.00 

3.87 

1.02 

4 

5 

4.85 

1.21 

4.85 

1.23 

4.84 

1.25 

4.84 

1.27 

5 

6 

5.82 

1.45 

5.82 

1.48 

5.81 

1.50 

5.80 

1.53 

6 

7 

6.79 

1.69 

6.78 

1.72 

6.78 

1.75 

6.77 

1.78 

7 

8 

7.  70 

1.94 

7.75 

1.97 

7.75 

2.00 

7.74 

2.04 

8 

9 

8.73 

2.18 

8.72 

2.22 

8.71 

2.25 

8.70 

2.29 

9 

10 

9.70 

2.42 

9.69 

2.46 

9.68 

2.50 

9.67 

2.55 

10 

11 

10.67 

2.66 

10.66 

2.71 

10.65 

2.75 

10.  04 

2.80 

11 

12 

11.64 

2.90 

11.63 

2.95 

11.62 

3.00 

11.60 

3.06 

12 

13 

12.61 

3.14 

12.60 

3.20 

12.  59 

3.25 

12.57 

3.31 

13 

14 

13.58 

3.39 

13.57 

3.45 

13.55 

3.51 

13.54 

3.56 

14 

15 

14.55 

3.63 

14.54 

3.69 

14.52 

3.  71) 

14.51 

3.82 

15 

16 

15.52 

3.87 

15.51 

3.94 

15.49 

4.0t 

15.47 

4.07 

16 

17 

Hi.  50 

4.11 

16.48 

4.18 

16.46 

4.26 

16.44 

4.33 

17 

18 

17.47 

4.35 

17.45 

4.43 

17.  43 

4.51 

17.41 

4.58 

18 

19 

18.44 

4.60 

18.42 

4.68 

18.  39 

4.  76 

18.37 

4.84 

19 

20 

19.41 

4.84 

19.38 

4.92 

19.36 

5.01 

19.34 

5.09 

20 

21 

20.38 

5.08 

20.35 

5.17 

20.33 

5.26 

20.31 

5.35 

21 

22 

21.35 

5.32 

21.32 

5.42 

21.30 

5.51 

21.28 

5.60 

22 

23 

22.32 

5.56 

22.29 

5.66 

22.27 

5.76 

22.24 

5.86 

23 

24 

23.29 

5.81 

23.26 

5.91 

23.24 

6.01 

23.21 

6.11 

24 

25 

24.26 

6.05 

24.23 

6.15 

24.20 

6.26 

24.18 

6.37 

25 

26 

25.23 

6.29 

25.20 

6.40 

25.17 

6.51 

25.14 

6.62 

26 

27 

26.  20 

6.53 

26.17 

6.65 

26.14 

6.76 

26.  11 

6.87 

27 

28 

27.17 

6.77 

27.14 

6.89 

27.11 

7.01 

27.08 

7.13 

28 

29 

28.14 

7.02 

28.11 

7.14 

28.08 

7.26 

28.04 

7.38 

29 

30 

29.11 

7.26 

29.08 

7.38 

29.04 

7.51 

29.01 

7.64 

30 

31 

30.08 

7.50 

30.05 

7.63 

30.01 

7.76 

29.98 

7.89 

31 

32 

31.05 

7.74 

31.02 

7.88 

30.98 

8.01 

30.  95 

8.15 

32 

33 

32.02 

7.98 

31.98 

8.12 

31.95 

8.26 

31.  91 

8.40 

33 

34 

32.99 

8.23 

32.95 

8.37 

32.92 

8.51 

32.  88 

8.66 

34 

35 

33.% 

8.47 

33.92 

8.62 

33.89 

8.76 

33.85 

8.91 

35 

36 

34.  93 

8.71 

34.89 

8.86 

34.85 

9.01 

34.81 

9.17 

36 

37 

35.90 

8.95 

35.86 

9.11 

35.82 

9.26 

35.78 

9.42 

37 

38 

36.87 

9.19 

36.83 

9.35 

36.79 

9.51 

36.  75 

9.67 

38 

39 

37.84 

9.43 

37.80 

9.60 

37.76 

9.76 

37.71 

9.93 

39 

40 

38.81 

9.68 

38.77 

9.85 

38.73 

10.02 

38.  68 

10.18 

40 

41 

39.78 

9.92 

39.74 

10.09 

39.69 

10.27 

39.65 

10.44 

41 

42 

40.75 

10.16 

40.71 

10.34 

40.  66 

10.52 

40.  62 

10.  09 

42 

43 

41.72 

10.40 

41.68 

10.58 

41.63 

10.77 

41.58 

10.95 

43 

44 

42.69 

10.64 

42.65 

10.83 

42.60 

11.02 

42.55 

11.20 

44 

45 

43.66 

10.89 

43.62 

11.08 

43.57 

11.27 

43.52 

11.  46 

45 

46 

44.63 

11.  13 

44.58 

11.32 

44.  53 

11.52 

44.48 

11.71 

46 

47 

45.60 

11.37 

45.55 

11.57 

45.50 

11.77 

45.45 

11.97 

47 

48 

46.57 

11.  61 

46.52 

11.82 

46.47 

12.02 

46.42 

12.22 

48 

49 

47.54 

11.85 

47.  49 

12.06 

47.44 

12.27 

47.39 

12.48 

49 

50 

48.51 

12.10 

48.46 

12.31 

48.41 

12.52 

48.35 

12.73 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

5 

76°. 

75*r. 

75^°. 

75Ji°. 

5 

36 


TABLE  4.— TRAVERSE  TABLE. 


i 

b 
f 

14°. 

14M°. 

14^2°. 

14%°. 

b 
f 

P" 

CJ 

i 

K 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

f 

51 

49.49 

12.  34 

49.43 

12.  55 

49.38 

12.77 

49.32 

12.98 

51 

52 

50.46 

12.58 

50.40 

12.80 

50.34 

13.02 

50.29 

13.24 

52 

53 

51.43 

12.82 

51.37 

13.05 

51.31 

13.  27 

51.25 

13.49 

53 

54 

52.40 

13.06 

52.34 

13.29 

52.28 

13.52 

52.22 

13.75 

54 

55 

53.37 

13.31 

53.31 

13.  54 

53.25 

13.77 

53.19 

14.00 

55 

50 

54.  34 

13.  55 

54.28 

13.  78 

54.22 

14.  02 

54.15 

14.26 

56 

ry 

55.  31 

13.  79 

55.25 

14.  03 

55.  18 

14.27 

55.12 

14.51 

57 

58 

56.28 

14.03 

56.22 

14.28 

56.15 

14.52 

56.09 

14.77 

58 

59 

57.25 

14.27 

57.18 

14.52 

57.12 

14.77 

57.  06 

15.02 

59 

60 

58.22 

14.52 

58.15 

14.77 

58.09 

15.02 

58.02 

15.28 

60 

61 

59.19 

14.  76 

59.12 

15.02 

59.06 

15.27 

58.99 

15.53 

61 

62 

60.16 

15.  00 

60.  09 

15.  26 

60.  03 

15.52 

59.96 

15.  79 

62 

63 

61.13 

15.24 

61.  06 

15.  51 

60.99 

15.77 

60.92 

16.04 

63 

64 

62.  10 

15.48 

62.  03 

15.  75 

61.96 

16.02 

61.89 

16.29 

64 

65 

63.07 

15.  72 

63.  00 

16.00 

62.93 

16.27 

62.86 

16.55 

65 

66 

64.04 

15.  97 

63.  97 

16.  25 

63.90 

16.53 

63.83 

16.80 

66 

67 

65.  01 

16.  21 

64.  94 

16.49 

64.87 

16.78 

64.79 

17.06 

67 

68 

65.  98 

16.  45 

65.91 

16.  74 

65.  83 

17.03 

65.76 

17.31 

68 

69 

66.95 

16.69 

66.88 

16.98 

66.80 

17.28 

66.73 

17.57 

69 

70 

67.92 

16.93 

67.85 

17.23 

67.77 

17.53 

67.69 

17.82 

70 

71 

68.89 

17.18 

68.82 

17.48 

68.74 

17.78 

68.66 

18.08 

71 

72 

69.86 

17.42 

69.78 

17.72 

69.  71 

18.  03 

69.63 

18.33 

72 

73 

70.  83 

17.  66 

70.75 

17.97 

70.67 

18.  28 

70.59 

18.59 

73 

74 

71.80 

17.90 

71.72 

18.22 

71.64 

18.53 

71.56 

18.84 

74 

75 

72.77 

18.14 

72.69 

18.46 

72.61 

18.78 

72.53 

19.10 

75 

76 

73.74 

18.39 

73.66 

18.71 

73.58 

19.03 

73.50 

19.35 

76 

77 

74.71 

18.63 

74.  63 

18.95 

74.55 

19.28 

74.46 

19.60 

77 

78 

75.68 

18.87 

75.60 

19.20 

75.52 

19.  53 

75.  43 

19.86 

78 

79 

76.65 

19.11 

76.57 

19.45 

76.  48 

19.78 

76.40 

20.11 

79 

80 

77.62 

19.35 

77.  54 

19.69 

77.45 

20.03 

77.36 

20.37 

80 

81 

78.59 

19.60 

78.51 

19.94 

78.42 

20.28 

78.33 

20.62 

81 

82 

79.56 

19.  84 

79.48 

20.18 

79.  39 

20.  53 

79.  30 

20.88 

82 

83 

80.53 

20.08 

80.45 

20.  43 

80.30 

20.78 

80.  26 

21.13 

83 

84 

81.50 

20.  32 

81.  42 

20.  68 

81.32 

21.03 

81.23 

21.  39 

84 

85 

82.48 

20.50 

82.38 

20.92 

82.  29 

21.28 

82.20 

21.64 

85 

86 

83.45 

20.81 

83.35 

21.17 

83.26 

21.53 

83.17 

21.90 

86 

87 

84.42 

21.05 

84.32 

21.42 

84.23 

21.78 

84.13 

22.15 

87 

88 

85.  39 

21.29 

85.29 

21.66 

85.20 

22.  03 

85.10 

22.40 

88 

89 

86.36 

21.  53 

86.26 

21.91 

86.17 

22.28 

86.07 

22.66 

89 

90 

87.33 

21.77 

87.23 

22.15 

87.13 

22.53 

87.03 

22.91 

90 

91 

88.30 

22.01 

88.20 

22.40 

88.10 

22.78 

88.00 

23.17 

91 

92 

89.27 

22.26 

89.17 

22.  65 

89.07 

23.03 

88.97 

23.  42 

92 

93 

90.24 

22.50 

90.14 

22.89 

90.04 

23.  29 

89.94 

23.  68 

93 

94 

91.21 

22.74 

91.11 

23.  14 

91.01 

23.54 

90.90 

23.  93 

94 

95 

92.18 

22.98 

92.08 

23.38 

91.97 

23.  79 

91.87 

24.  19 

95 

96 

93.  15 

23.22 

93.  05 

23.  63 

92.94 

24.04 

92.  84 

24.44 

96 

97 

94.12 

23.  47 

94.02 

23.88 

93.91 

24.29 

93.80 

24.70 

97 

98 

95.  09 

23.71 

94.  98 

24.12 

94.88 

24.54 

94.77 

24.95 

98 

99 

96.  06 

23.95 

95.95 

24.  37 

95.85 

24.79 

95.  74 

25.21 

99 

100 

97.03 

24.19 

96.92 

24.62 

96.81 

25.04 

96.70 

25.46 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

1 

ft 

76°. 

75*r. 

75M°- 

a&r. 

m 

ft 

TABLE  4.— TRAVERSE  TABLE. 


0 

15°. 

15M°. 

15^<>. 

15M° 

B 

I 

& 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

i 

0.97 

0.26 

0.96 

0.26 

0.96 

0.27 

0.96 

0.27 

1 

2 

1.93 

0.52 

1.93 

0.53 

1.93 

0.53 

1.92 

0.54 

2 

3 

2.90 

0.78 

2.89 

0.79 

2.89 

0.80 

2.89 

0.81 

3 

4 

3.86 

1.04 

3.86 

1.05 

3.85 

1.07 

3.85 

1.09 

4 

5 

4.83 

1.29 

4.82 

1.32 

4.82 

1.34 

4.81 

1.36 

5 

6 

5.80 

1.55 

5.79 

1.58 

5.78 

1.60 

6.77 

1.63 

6 

7 

6.76 

1.81 

6.75 

1.84 

6.75 

1.87 

6.74 

1.90 

7 

8 

7.73 

2.07 

7.72 

2.10 

7.71 

2.14 

7.70 

2.17 

8 

9 

8.69 

2.33 

8.68 

2.37 

8.67 

2.41 

8.66 

2.44 

9 

10 

9.66 

2.59 

9.65 

2.63 

9.64 

2.67 

9.  62 

2.71 

10 

11 

10.63 

2.85 

10.61 

2.89 

10.60 

2.94 

10.59 

2.99 

11 

12 

11.59 

3.11 

11.58 

3.16 

11.56 

3.21 

11.  55 

3.26 

12 

13 

12.56 

3.36 

12.54 

3.42 

12.  53 

3.47 

12.  51 

3.53 

13 

14 

13.  52 

3.62 

13.  51 

3.  68 

13.49 

3.74 

13.47 

3.80 

14 

15 

14.49 

3.88 

14.47 

3.95 

14.45 

4.01 

14.44 

4.07 

15 

16 

15.45 

4.14 

15.44 

4.21 

15.42 

4.28 

15.40 

4.34 

16 

17 

16.  42 

4.40 

16.  40 

4.47 

16.38 

4.54 

16.  36 

4.61 

17 

18 

17.  39 

4.66 

17.37 

4.73 

17.  35 

4.81 

17.  32 

4.89 

18 

19 

18.35 

4.92 

18.33 

5.00 

18.31 

5.08 

18.29 

5.16 

19 

20 

19.32 

5.18 

19.30 

5.26 

19.27 

5.34 

19.25 

5.43 

20 

21 

20.28 

5.44 

20.26 

5.52 

20.24 

5.61 

20.21 

5.70 

21 

22 

21.25 

5.69 

21.23 

5.79 

21.20 

5.88 

21.17 

.     5.97 

22 

23 

22.  22 

5.95 

22.19 

6.05 

22.16 

6.15 

22.14 

6.24 

23 

24 

23.  18 

6.21 

23.15 

6.31 

23.13 

6.41 

23.10 

6.51 

24 

25 

24.15 

6.47 

24.12 

6.58 

24.09 

6.68 

24.06 

6.79 

25 

26 

25.11 

6.73 

25.08 

6.84 

25.05 

6.95 

25.02 

7.06 

26 

27 

26.08 

6.99 

26.05 

7.10 

20.  02 

7.22 

25.99 

7.33 

27 

28 

27.05 

7.25 

27.01 

7.36 

26.98 

7.48 

26.  95 

7.60 

28 

29 

28.01 

7.51 

27.98 

7.63 

27.95 

7.75 

27.91 

7.87 

29 

30 

28.98 

7.76 

28.94 

7.89 

28.91 

8.02 

28.87 

8.14 

30 

31 

29.94 

8.02 

29.91 

8.15 

29.87 

8.28 

29.84 

8.41 

31 

32 

30.91 

8.28 

30.87 

8.42 

30.84 

8.55 

30.80 

8.69 

32 

33 

31.88 

8.54 

31.84 

8.68 

31.80 

8.82 

31.76 

8.96 

33 

34 

32.84 

8.80 

32.80 

8.94 

32.76 

9.09 

32.72 

9.23 

34 

35 

33.81 

9.06 

33.77 

9.21 

33.73 

9.35 

33.69 

9.50 

35 

36 

34.77 

9.32 

34.73 

9.47 

34.  69 

9.62 

34.  65 

9.77 

36 

37 

35.74 

9.58 

35.70 

9.73 

35.65 

9.89 

35.61 

10.04 

37 

38 

36.71 

9.84 

36.66 

10.00 

36.62 

10.16 

36.57 

10.31 

38 

39 

37.67 

10.09 

37.  63 

10.26 

37.58 

10.42 

37.  54 

10.59 

39 

40 

38.64 

10.35 

38.59 

10.52 

38.55 

10.69 

38.50 

10.86 

40 

41 

39.60 

10.61 

39.  5G 

10.78 

39.51 

10.96 

39.  46 

11.13 

41 

42 

40.57 

10.87 

40.  52 

11.05 

40.47 

11.22 

40.42 

11.40 

42 

43 

41.53 

11.13 

41.49 

11.31 

41.44 

11.49 

41.39 

11.67 

43 

44 

42.50 

11.39 

42.45 

11.57 

42.40 

11.76 

42.35 

11.94 

44 

45 

43.47 

11.65 

43.42 

11.84 

43.36 

12.03 

43.  31 

12.  21 

45 

46 

44.43 

11.91 

44.  38 

12.10 

44.33 

12.29 

44.27 

12.49 

46 

47 

45.  40 

12.16 

45.  35 

12.36 

45.  29 

12.  ,56 

45.24 

12.76 

47 

48 

46.36 

12.42 

46.  31 

12.  63 

46.25 

12.83 

46.20 

13.03 

48 

49 

47.33 

12.  C8 

47.27 

12.89 

47.22 

13.09 

47.  16 

13.  30 

49 

50 

48.30 

12.94 

48.24 

13.15 

48.18 

13.36 

48.12 

13.57 

50 

1 

rrt 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

9 

1 

ft 

75°. 

7434°. 

74M°. 

7««. 

S 

38 


TABLE  4. -TRAVERSE  TABLE. 


I 

15°. 

wr. 

«* 

I*-. 

0 

sr 

i 

CO 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

49.26 

13.20 

49.20 

13.41 

49.15 

13.63 

49.09 

13.84 

51 

52 

50.23 

13.46 

50.17 

13.  68 

50.11 

13.90 

50.05 

14.11 

52 

53 

51.19 

13.72 

51.13 

13.94 

51.  07 

14.16 

51.01 

14.39 

53 

54 

52.16 

13.98 

52.10 

14.20 

52.  04 

14.43 

51.97 

14.66 

54 

55 

53.  13 

14.24 

53.  06 

14.47 

53.00 

14.70 

52.94 

14.93 

55 

56 

54.09 

14.49 

54.03 

14.73 

53.  96 

14.97 

53.  90 

15.20 

56 

57 

55.  06 

14.75 

54.  99 

14.99 

54.  93 

15.  23 

54.86 

15.47 

57 

58 

56.02 

15.01 

55.96 

15.26 

55.89 

15.50 

55.82 

15.74 

58 

59 

56.99 

15.  27 

56.  92 

15.52 

56.85 

15.77 

56.78 

16.01 

59 

60 

57.96 

15.53 

57.89 

15.78 

57.82 

16.03 

57.75 

16.29 

60 

61 

58.92 

15.79 

58.85 

16.  04 

58.78 

16.30 

58.71 

16.56 

61 

62 

59.89 

16.  05 

59.82 

16.31 

59.75 

16.57 

59.67 

16.83 

62 

63 

60.  85 

16.31 

60.78 

16.57 

60.71 

16.84 

60.63 

17.10 

63 

64 

61.82 

16.56 

61.75 

16.83 

61.  67 

17.10 

61.60 

17.37 

64 

65 

62.79 

16.82 

62.71 

17.10 

62.64 

17.37 

62.56 

17.  64 

65 

66 

63.  75 

17.  08 

63.68 

17.36 

63.  fO 

17.64 

63.52 

17.92 

66 

67 

64.72 

17.  34 

64.64 

17.62 

64.  56 

17.90 

64.48 

18.19 

67 

68 

65.68 

17.  60 

65.61 

17.89 

65.  53 

18.17 

65.45 

18.46 

68 

69 

66.  65 

17.  86 

66  57 

18.15 

66.49 

18.44 

66.41 

18.73 

69 

70 

67.61 

18.12 

67.54 

18.41 

67.45 

18.71 

67.37 

19.00 

70 

71 

68.58 

18.38 

68.50 

18.68 

68.42 

18.97 

68.33 

19.27 

71 

72 

69.  55 

18.  63 

69.46 

18.94 

69.38 

19.24 

69.30 

19.54 

72 

73 

70.51 

18.89 

70.43 

19.20 

70.35 

19.51 

70.26 

19.82 

73 

74 

71.48 

19.15 

71.39 

19.46 

71.31 

19.78 

71.22 

20.09 

74 

75 

72.44 

19.41 

72.  36 

19.73 

72.27 

20.04 

72.18 

20.36 

75 

76 

73.41 

19.67 

73.32 

19.  99 

73.24 

20.31 

73.15 

20.63 

76 

77 

74.38 

19.93 

74.29 

20.  25 

74.20 

20.58 

74.11 

20.90 

77 

78 

75.34 

20.19 

75.25 

20.52 

75.  16 

20.84 

75.07 

21.17 

78 

79 

76.31 

20.45 

76.22 

20.78 

76.13 

21.11 

76.  03 

21.44 

79 

80 

77.  27 

20.71 

77.18 

21.04 

77.09 

21.38 

77.00 

21.72 

80 

81 

78.24 

20.96 

78.15 

21.31 

78.05 

21.65 

77.96 

21.99 

81 

82 

79.21 

21.  22 

79.11 

21.57 

79.02 

21.91 

78.92 

22.26 

82 

83 

80.17 

21.48 

80.08 

21.83 

79.98 

22.18 

79.88 

22.  53 

83 

84 

81.14 

21.74 

81.04 

22.09 

80.94 

22.  45 

80.85 

22.80 

84 

85 

82.10 

22.  00 

82.01 

22.36 

81.91 

22.72 

81.81 

23.07 

85 

86 

83.07 

22.26 

82.97 

22.62 

82.87 

22.98 

82.77 

23.34 

86 

87 

84.04 

22.52 

as.  94 

22.88 

83.84 

23.25 

83.73 

23.  62 

87 

88 

85.00 

22.78 

84.90 

23.  15 

84.80 

23.  52 

84.70 

23.89 

88 

89 

85.97 

23.03 

85.87 

23.41 

85.76 

23.78 

85.66 

24.  16 

89 

90 

86.93 

23.29 

86.83 

23.67 

86.73 

24.05 

86.62 

24.43 

90 

91 

87.90 

23.55 

87.80 

23.94 

87.69 

24.32 

87.58 

24.70 

91 

92 

88.87 

23.81 

88.76 

24.20 

88.65 

24.59 

88.55 

24.97 

92 

93 

89.  83 

24.07 

89.73 

24.  46 

89.62 

24.85 

89.51 

25.24 

93 

94 

90.80 

24.33 

90.69 

24.72 

90.58 

25.12 

90.  47 

25.52 

94 

95 

91.76 

24.59 

91.65 

24.99 

91.54 

25.39 

91.43 

25.79 

95 

96 

92.73 

24.85 

92.62 

25.25 

92.51 

25.65 

92.40 

26.06 

96 

97 

93.  09 

25.11 

93.58 

25.51 

93.  47 

25.92 

93.36 

26.33 

97' 

98 

94.66 

25.  36 

94.55 

25.78 

94.44 

26.  19 

94.  32 

26.  60 

98 

99 

95.63 

25.62 

95.51 

26.  04 

95.40 

26.  46 

95.28 

26.  87 

99 

100 

96.59 

25.88 

96.48 

26.30 

96.36 

26.72 

96.25 

27.14 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

75°. 

74%°. 

74M°. 

7*-. 

5 

TABLE  4.— TRAVERSE  TABLE. 


B 

E 

Mb 

16^°. 

16H°. 

163-1°. 

O 

5 

p 

g 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

1 

0.96 

0.28 

0.96 

0.28 

0.96 

0.28 

0.96 

0.29 

1 

2 

1.92 

0.55 

1.92 

0.56 

1.92 

0.57 

1.92 

0.58 

2 

3 

2.88 

0.83 

2.88 

0.84 

2.88 

0.85 

2.87 

0.86 

3 

4 

3.85 

1.10 

3.84 

1.12 

3.84 

1.14 

3.83 

1.15 

4 

5 

4.81 

1.38 

4.80 

1.40 

4.79 

1.42 

4.79 

1.44 

5 

(i 

5.77 

1.  65 

5.76 

1.68 

5.75 

1.70 

5.75 

1.73 

6 

7 

6.73 

1.  93 

6.72 

1.96 

6.71 

1.99 

6.70 

2.02 

7 

8 

7.69 

2.21 

7.68 

2.24 

7.67 

2.27 

7.66 

2.31 

8 

9 

8.65 

2.48 

8.64 

2.52 

8.  03 

2.56 

8.62 

2.59 

9 

10 

9.61 

2.76 

9.60 

2.80 

9.59 

2.84 

9.58 

2.88 

10 

11 

10.57 

3.03 

10.56 

3.08 

10.55 

3.12 

10.53 

3.17 

11 

12 

11.  54 

3.31 

11.52 

3.36 

11.51 

3.41 

11.49 

3.  40 

12 

13 

12.  50 

3.58 

12.48 

3.64 

12.46 

3.69 

12.45 

3.75 

13 

14 

13.  40 

3.86 

13.44 

3.92 

13.42 

3.98 

13.41 

4.03 

14 

15 

14.42 

4.13 

14.40 

4.20 

14.  38 

4.26 

14.  36 

4.32 

15 

10 

15.38 

4.41 

15.30 

4.48 

15.34 

4.54 

15.32 

4.61 

16 

17 

16.34 

4.69 

16.32 

4.76 

16.  30 

4.83 

16.28 

4.90 

17 

IS 

17.30 

4.96 

17.28 

5.04 

17.26 

5.11 

17.24 

5.19 

18 

19 

18.26 

5.24 

18.24 

5.32 

18.22 

5.40 

18.19 

5.48 

19 

20 

19.  23 

5.51 

19.20 

5.60 

19.18 

5.68 

19.15 

5.76 

20 

21 

20.19 

5.79 

20.16 

5.88 

20.14 

5.96 

20.11 

6.05 

21 

22 

21.  15 

6.06 

21.12 

G.16 

21.09 

6.25 

21.07 

6.34 

22 

23 

22.11 

6.34 

22.08 

6.44 

22.05 

6.53 

22.  02 

6.63 

23 

24 

23.07 

6.62 

23.04 

6.72 

23.01 

6.82 

22.98 

6.92 

24 

25 

24.03 

6.89 

24.  00 

7.00 

23.97 

7.10 

23.94 

7.20 

25 

26 

24.99 

7.17 

24.  96 

7.28 

24.93 

7.38 

24.90 

7.49 

26 

27 

25.95 

7.44 

25.92 

7.  56 

25.89 

7.67 

25.85 

7.78 

27 

28 

26.92 

7.72 

26.88 

7.84 

26.  85 

7.95 

26.  81 

8.07 

28 

29 

27.88 

7.99 

27.84 

8.12 

27.81 

8.24 

27.77 

8.36 

29 

30 

28.84 

8.27 

28.80 

8.39 

28.76 

8.52 

28.73 

8.65 

30 

31 

29.80 

8.54 

29.  76 

8.67 

29.72 

8.80 

29.  68 

8.93 

31 

32 

30.76 

8.82 

30.72 

8.95 

30.68 

9.09 

30.64 

9.22 

32 

33 

31.72 

9.10 

31.68 

9.23 

31.64 

9.37 

31.60 

9.51 

33 

34 

32.68 

9.37 

32.  64 

9.51 

32.  60 

9.66 

32.  56 

9.80 

34 

35 

33.64 

9.65 

33.60 

9.79 

33.  56 

9.94 

33.51 

10.09 

35 

36 

34.61 

9.92 

34.  56 

10.07 

34.52 

10.22 

34.47 

10.38 

36 

37 

35.  57 

10.20 

35.  52 

10.35 

35.  48 

10.51 

35.  43 

10.66 

37 

38 

36.53 

10.47 

36.-  48 

10.63 

36.  44 

10.79 

36.  39 

10.95 

38 

39 

37.49 

10.  75 

37.44 

10.91 

37.  39 

11.08 

37,35 

11.24 

39 

40 

38.45 

11.03 

38.40 

11.19 

38.35 

11.36 

38.30 

11.53 

40 

41 

39.41 

11.30 

39.36 

11.47 

39.31 

11.64 

39.  20 

11.82 

41 

42 

40.37 

11.58 

40.  32 

11.75 

40.27 

11.93 

40.22 

12.  10 

42 

43 

41.33 

11.85 

41.  28 

12.  03 

41.23 

12.21 

41.  IS 

12.39 

43 

44 

42.30 

12.13 

42.24 

12.31 

42.19 

12.50 

42.  13 

12.68 

44 

45 

43.  26 

12.  40 

41.  20 

12.59 

43.  15 

12.78 

43.09 

12.97 

45 

46 

44.  22 

12.68 

44.  16 

12.87 

44.11 

13.06 

44.  05 

13.  26 

46 

•  47 

45.18 

12.  95 

45.12 

13.  15 

45.  06 

13.  35 

45.  01 

13.  55 

47 

48 

46.  14 

13.  23 

40.08 

13.  43 

46.02 

13.63 

45.  96 

13.83 

48 

49 

47.  10 

13.51 

47.04 

13.  71 

46.98 

13.92 

46.  92 

14.12 

49 

50 

48.06 

13.78 

48.00 

13.99 

47.  94 

14.20 

47.88 

14.41 

50 

1 

Dcp. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

s 

74°. 

73-V- 

73^°. 

73M°- 

% 
5 

TABLE  4.—  TRAVERSE  TABLE. 


e 
K 

16°. 

1GM°-                       1CH°. 

16%°. 

0 
1 

P 

.Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

49.02 

14.  06 

48.  96 

14.27 

48.90 

14.48 

48.84 

14.70 

51 

52 

49.99 

14.33 

49.  92 

14.55 

49.86 

14.77 

49.79 

14.99 

52 

53 

50.95 

14.  61 

50.88 

14.83 

50.82 

15.05 

50.  75 

15.27 

53 

54 

51.91 

14.88 

51.84 

15.  11 

51.78 

15.34 

51.71 

15.56 

54 

55 

52.87 

15.  16 

52.80 

15.  39 

52.74 

15.  62 

52.67 

]5.85 

55 

56 

53.83 

15.44 

53.76 

15.67 

53.  69 

15.90 

53.62 

16.14 

56 

57 

54.  79 

15.71 

54.  72 

15.95 

54.65 

16.19 

54.58 

16.43 

57 

58 

55.  75 

15.99 

55.  C;8 

16.  23 

55.  61 

16.47 

55.54 

16.  72 

58 

59 

50.71 

16.  26 

56.  64 

16.  51 

56.57 

16.76 

56.  50 

17.00 

59 

60 

57.68 

16.54 

57.  60 

16.79 

57.53 

17.04 

57.45 

17.29 

60 

61 

58.64 

16.81 

58.  56 

17.07 

58.49 

17.32 

58.41 

17.58 

61 

62 

59.  60 

17.09 

59.  52 

17.  35 

59.45 

17.  61 

59.37 

17.87 

62 

63 

60.56 

17.37 

60.  48 

17.  (53 

60.41 

17.89 

CO.  33 

18.  10 

63 

64 

61.52 

17.  64 

61.  44 

17.91 

61.36 

18.18 

61.  28 

18.44 

64 

65 

62.  48 

17.92 

62.  40 

18.19 

62.32 

18.46 

62.24 

18.  73 

65 

66 

63.44 

18.19 

63.36 

18.47 

63.28 

18.  75 

63  20 

19.02 

66 

67 

64.40 

18.47 

64.32 

18.  75 

64.  21 

19.03 

64.16 

19.31 

67 

68 

65.37 

18.74 

65.28 

19.  03 

65.20 

19.31 

65.11 

19.  60 

68 

69 

66.  33 

19.02 

66.24 

19.31 

66.16 

19.  60 

66.  07 

19.89 

69 

70 

67.29 

19.29 

67.20 

19.59 

67.12 

19.88 

67.03 

20.17 

70 

71 

68.25 

19.57 

68.16 

19.87 

68.08 

20.17 

67.99 

20.46 

71 

72 

69.21 

19.85 

69.12 

20.  15 

69.  04 

20.45 

68.95 

20.75 

72 

73 

70.17 

20.  12 

70.08 

20.43 

69.99 

20.73 

69.90 

21.04 

73 

74 

71.13 

20.40 

71.04 

20.71 

70.95 

21.02 

70.  86 

21.33 

74 

75 

72.09 

20.67 

72.00 

20.99 

71.91 

21.30 

71.82 

21.  61 

75 

76 

73.  06 

20.95 

72.96 

21.27 

72.87 

21.59 

72.78 

21.90 

76 

77 

74.02 

21.  22 

73.92 

21.55 

73.83 

21.87 

73.73 

22.19 

77 

78 

74.98 

21.50 

74.88 

21.83 

74.79 

22.  15 

74.  69 

22.48 

78 

79 

75.94 

21.78 

75.84 

22.  11 

75.  75 

22.44 

75.  65 

22.77 

79 

80 

76.90 

22.05 

76.80 

22.39 

76.71 

22.72 

76.61 

23.06 

80 

81 

77.  86 

22.  33 

77.  76 

22.  67 

77.  66 

23.01 

77.56 

23.34 

81 

82 

78.82 

22.  60 

78.72 

22.  95 

78.62 

23.29 

78.52 

23.  as 

82 

83 

79.78 

22.88 

79.  68 

23.23 

79.58 

23.57 

79.48 

23.  92 

83 

84 

80.75 

23.  15 

80.  64 

23.51 

80.54 

23.86 

80.44 

24.21 

84 

85 

81.71 

23.43 

81.  60 

23.  79 

81.50 

24.  14 

81.39 

24.50 

85 

86 

82.  67 

23.  70 

82.66 

24.07 

82.46 

24.  43 

82.35 

24.78 

86 

87 

83.  63 

23.98 

83.52 

24.35 

83.42 

24.71 

83.31 

25.07 

87 

88 

84.59 

24.26 

84.48 

24.  62 

84.  38 

24.99 

84.  27 

25.36 

88 

89 

85.55 

24.  53 

85.44 

24.  90 

85.  33 

25.  28 

85.22 

25.65 

89 

90 

86.51 

24.81 

86.40 

25.18 

86.29 

25.56 

86.18 

25.94 

90 

91 

87.47 

25.08 

87.36 

25.46 

87.25 

25.85 

87.  14 

26.  23 

91 

92 

88.44 

25.86 

88.32 

25.74 

88.21 

26.  13 

as.  10 

26.51 

92 

93 

89.40 

25.63 

89.  28 

26.  02 

89.17 

26.41 

89.  05 

26.80 

93 

94 

90.  36 

25.91 

90.24 

26.30 

90.13 

26.  70 

90.01 

27.09 

94 

95 

91.32 

20.  19 

91.20 

26.  58 

91.09 

26.  98 

90.97 

27.38 

95 

96 

92.28 

26.  46 

92.  16 

2(1.  80 

92.05 

27.27 

91.93 

27.  67 

96 

97 

93.  24 

26.  74 

93.  12 

27.  14 

93.  01 

27.  55 

92.  88 

27.  96 

97 

98 

94.20 

27.01 

94.  08 

27.42 

93.96 

27.  83 

93.  84 

28.24 

98 

99 

95.  16 

27.29 

95.04 

27.70 

94.92 

28.12 

94.80 

28.  53 

99 

100 

96.13 

27.56 

96.00 

27.98 

95.88 

28.40 

95.  76 

28.82 

100 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

1 

74°. 

73%°. 

73^°. 

73^°. 

"w 

5 

41 


TABLE  4.— TRAVERSE  TABLE. 


o 

17°. 

17M°- 

i7y2°. 

17%". 

O 
I 

p 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

| 

1 

0.96 

0.29 

0.96 

0.30 

0.95 

0.30 

0.95 

0.30 

1 

2 

1.91 

0.58 

1.91 

0.59 

1.91 

0.60 

1.90 

0.61 

2 

3 

2.87 

0.88 

2.87 

0.89 

2.86 

0.90 

2.86 

0.91 

3 

4 

3.83 

1.17 

3.82 

1.19 

3.81 

1.20 

3.81 

1.22 

4 

5 

4.78 

1.46 

4.78 

1.48 

4.77 

1.50 

4.76 

1.52 

5 

6 

5.74 

1.75 

5.73 

1.78 

5.72 

1.80 

5.71 

1.83 

6 

7 

6.69 

2.05 

6.69 

2.08 

6.  68 

2.10 

6.67 

2.13 

7 

8 

7.65 

2.34 

7.64 

2.37 

7.  <::? 

2.41 

7.62 

2.44 

8 

9 

8.61 

2.  63 

8.60 

2.67 

8.58 

2.71 

8.57 

2.74 

9 

10 

9.56 

2.92 

9.55 

2.97 

9.54 

3.01 

9.52 

3.05 

10 

11 

10.52 

3.22 

10.51 

3.26 

10.49 

3.31 

10.48 

3.35 

11 

12 

11.48 

3.51 

11.46 

3.56 

11.  44 

3.61 

11.  43 

3.66 

12 

13 

12.43 

3.80 

12.42 

3.86 

12.  40 

3.91 

12.  38 

3.96 

13 

14 

13.39 

4.09 

13.37 

4.15 

13.35 

4.21 

13.  33 

4.27 

14 

15 

14.34 

4.39 

14.33 

4.45 

14.31 

4.51 

14.29 

4.57 

15 

10 

15.30 

4.68 

15.28 

4.74 

15.  26 

4.81 

15.24 

4.88 

16 

17 

16.26 

4.97 

16.24 

5.04 

16.21 

5.11 

16.19 

5.18 

17 

18 

17.21 

5.26 

17.19 

5.34 

17.17 

5.41 

17.14 

5.49 

18 

19 

18.17 

5.56 

18.  15 

5.63 

18.  12 

5.71 

18.10 

5.79 

19 

20 

19.13 

5.85 

19.10 

5.93 

19.07 

6.01 

19.05 

6.10 

20 

21 

20.08 

6.14 

20.06 

6.23 

20.03 

6.31 

20.00 

6.40 

21 

22 

21.04 

6.43 

21.01 

6.52 

20.98 

6.  62 

20.  95 

6.71 

22 

23 

22.00 

6.72 

21.97 

0,82 

21.94 

6.  92 

21.91 

7.01 

23 

24 

22.95 

7.02 

22.  92 

7.12 

22.89 

7.22 

22.  86 

7.32 

24 

25 

23.  91 

7.31 

23.88 

7.41 

23.84 

7.52 

23.81 

7.62 

25 

36 

24.86 

7.60 

24.83 

7.71 

24.80 

7.82 

24.  76 

7.93 

26 

27 

25.  82 

7.89 

25.  79 

8.01 

25.75 

8.12 

25.71 

8.23 

27 

28 

26.  78 

8.19 

26.74 

8.30 

26.70 

8.42 

26.67 

8.54 

28 

29 

27.73 

8.48 

27.70 

8.60 

27.  66 

8.72 

27.62 

8.84 

29 

30 

28.69 

8.77 

28.65 

8.90 

28.61 

9.02 

28.57 

9.15 

30 

31 

29.65 

9.06 

29.61 

9.19 

29.57 

9.32 

29.52 

9.45 

31 

32 

30.60 

9.36 

30.56 

9.49 

30.52 

9.62 

30.48 

9.76 

32 

33 

31.56 

9.65 

31.52 

9.79 

31.47 

9.92 

31.43 

10.06 

33 

34 

32.51 

9.94 

32.  47 

10.08 

32.43 

10.  22 

32.38 

10.37 

34 

35 

33.47 

10.23 

33.43 

10.  38 

33.  38 

10.52 

33.33 

10.67 

35 

36 

34.43 

10.53 

34.38 

10.  68 

34.33 

10.83 

34.29 

10.98 

36 

37 

35.38 

10.82 

35.  34 

10.97 

35.  29 

11.  13 

35.24 

11.28 

37 

38 

36.34 

11.11 

36.29 

11.27 

36.24 

11.43 

36.19 

11.58 

38 

39 

37.  30 

11.40 

37.  25 

11.57 

37.19 

11.73 

37.14 

11.89 

39 

40 

38.25 

11.69 

38.20 

11.86 

38.15 

12.03 

38.10 

12.19 

40 

41 

39.21 

11.99 

39.16 

12.16 

39.10 

12.  33 

39.05 

12.50 

41 

42 

40.16 

12.28 

40.11 

12.45 

40.  06 

12.  63 

40.00 

12.80 

42 

43 

41.12 

12.57 

41.07 

12.75 

41.01 

12.  93 

40.95 

13.11 

43 

44 

42.  08 

12.86 

42.02 

13.05 

41.96 

13.23 

41.91 

13.41 

44 

45 

43.  03 

13.  16 

42.98 

13.  34 

42.92 

13.53 

42.  86 

13.72 

45 

46 

43.99 

13.45 

43.  93 

13.64 

43.87 

13.83 

43.81 

14.02 

46 

47 

44.95 

13.74 

44.89 

13.94 

44.82 

14.13 

44.  76 

14.33 

47 

48 

45.90 

14.03 

45.84 

14.23 

45.78 

14.43 

45.71 

14.  63 

48 

49 

46.  86 

14.33 

46.80 

14.53 

46.73 

14.  73 

46.67 

14.94 

49 

50 

47.82 

14.62 

47.75 

14.83 

47.69 

15.04 

47.62 

15.24 

50 

j 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

| 

a 

C3 

§ 

a 

5 

73°. 

72%°. 

72^°. 

72^°- 

5 

TABLE  4.— TRAVERSE  TABLE. 


0 

.  17°.                        17140. 

Yfff- 

nil*. 

2 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51. 

48.77 

14.91 

48.71 

15.12 

48.64 

15.34 

48.57 

15.55 

51 

52 

49.73 

15.  20 

49.  66 

15.42 

49.59 

15.  64 

49.  52 

15.85 

52 

53 

50.68 

15.50 

50.62 

15.72 

50.55 

15.94 

50.48 

16.  16 

53 

54 

51.64 

15.79 

51.57 

16.  01 

51.50 

16.24 

51.43 

16.46 

54 

55 

52.  60 

16.08 

52.53 

16.31 

52.  45 

16.54 

52.  38 

16.77 

55 

56 

53.55 

16.37 

53.48 

16.61 

53.41 

16.84 

53.  33 

17.07 

56 

57 

54.51 

16.67 

54.44 

16.90 

54.  36 

17.14 

54.29 

17.38 

57 

58 

55.47 

16.96 

55.  39 

17.20 

55.32 

17.44 

55.  24 

17.68 

58 

59 

56.  42 

17.25 

56.35 

17.50 

56.27 

17.74 

56.19 

17.99 

59 

60 

57.38 

17.54 

57.30 

17.79 

57.22 

18.04 

57.14 

18.29 

60 

61 

58.33 

17.83 

58.26 

18.09 

58.18 

18.34 

58.10 

18.60 

61 

62 

59.29 

18.13 

59.21 

18.39 

59.13 

18.64 

59.05 

18.90 

62 

63 

60.25 

18.42 

60.17 

18.68 

60.08 

18.94 

60.  00 

19.21 

63 

64 

61.20 

18.71 

61.12 

18.  98 

61.  04 

19.25 

60.  S5 

19.51 

64 

65 

62.  16 

19.00 

62.08 

19.  28 

61.99 

19.55 

61.91 

19.  82 

65 

66 

63.12 

19.  30 

63.  03 

19.57 

62.95 

19.85 

62.  86 

20.12 

66 

67 

64.  07 

19.59 

63.99 

19.  87 

63.90 

20.15 

63.81 

20.  43 

67 

68 

65.  03 

19.88 

64.  94 

20.  16 

64.85 

20.  45 

64.  76 

20.73 

68 

69 

65.99 

20.17 

65.  90 

20.46 

65.81 

20.  75 

65.  72 

21.04 

69 

70 

66.  94 

20.47 

66.85 

20.76 

66.76 

21.05 

66.  67 

21.34 

70 

71 

67.90 

20.76 

67.81 

21.05 

67.  71 

21.35 

67.  62 

21.65 

71 

72 

68.85 

21.05 

68.76 

21.35 

68.67 

21.65 

68.57 

21.95 

72 

73 

69.81 

21.34 

69.  72 

21.65 

69.  62 

21.95 

69.52 

22.  26 

73 

74 

70.77 

21.  64 

70.67 

21.94 

70.58 

22.25 

70.48 

22.56 

74 

75 

71.72 

21.93 

71.  63 

22.24 

71.53 

22.  55 

71.43 

22.  86 

75 

76 

72.68 

22.22 

72.58 

22.54 

72.48 

22.  85 

72.  38 

23.  17 

76 

77 

73.  64 

22.51 

73.54 

22.83 

73.44 

23.  15 

73.33 

23.47 

77 

78 

74.  59 

22.80 

74.49 

23.  13 

74.39 

23.46 

74.29 

23.78 

78 

79 

75.  55 

23.10 

75.45 

23.43 

75.34 

23.76 

75.  24 

24.08 

79 

80 

76.50 

23.39 

76.40 

23.72 

76.30 

24.06 

76.19 

24.  39 

80 

81 

77.46 

23.68 

77.36 

24.02 

77.25 

24.36 

77.14 

24.  69 

81 

82 

78.42 

23.97 

78.  31 

24.32 

78.20 

24.66 

78.10 

25.00 

82 

83 

79.  37 

24.27 

79.27 

24.61 

79.16 

24.96 

79.05 

25.30 

83 

84 

80.  33 

24.  56 

80.22 

24.91 

80.11 

25.26 

80.00 

25.  61 

84 

85 

81.29 

24.85 

81.18 

25.21 

81.07 

25.  56 

80.95 

25.91 

85 

86 

82.24 

25.14 

82.13 

25.50 

82.02 

25.86 

81.91 

26.22 

86 

87 

83.20 

25.  44 

83.09 

25.80 

82.97 

26.  16 

82.  86 

26.  52 

87 

88 

84.  15 

25.  73 

84.04 

26.10 

83.  93 

26.46 

83.81 

26.83 

88 

89 

85.11 

26.02 

85.00 

26.39 

84.88 

26.  76 

84.76 

27.13 

89 

90 

86.07 

26.31 

85.95 

26.69 

85.83 

27.06 

85.72 

27.44 

90 

91 

87.02 

26.  61 

86.91 

26.  99 

86.79 

27.36 

86.  67 

27.74 

91 

92 

87.98 

26.90 

87.86 

27.28 

87.74 

27.  66 

87.  62 

28.05 

92 

93 

88.94 

27.19 

88.82 

27.  58 

88.70 

27.97 

88.  57 

28.35 

93 

94 

89.  89 

27.48 

89.77 

27.87 

89.65 

28.27 

89.53 

28.  66 

94 

95 

90.  85 

27.78 

90.  73 

28.17 

90.60 

28.57 

90.48 

28.96 

95 

96 

91.81 

28.07 

91.68 

28.47 

91.56 

28.87 

91.43 

29.27 

96 

97 

92.  76 

28.  36 

92.  64 

28.  76 

92.51 

29.17 

92.  38 

29.  57 

97 

98 

93.72 

28.  65 

93.  59 

29.06 

93.  46 

29.47 

93.33 

29.88 

98 

99 

94.67 

28.94 

94.  55 

29.36 

94.42 

29.77 

94.29 

30.18 

99 

100 

95.63 

29.24 

95.50 

29.  65 

95.37 

30.07 

95.24 

30.49 

100 

~T 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

i 

p 

73°. 

72*1°. 

72^°. 

72M°. 

.3 
ft 

43 


TABLE  4. -TRAVERSE  TABLE. 


0 
§-' 

18°. 

INT- 

w 

Ml'. 

g 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

1 

1 

0.95 

0.31 

0.95 

0.31 

0.95 

0.32 

0.95 

0.32 

1 

2 

1.90 

0.62 

1.90 

0.63 

1.90 

0.63 

1.89 

0.64 

2 

3 

2.85 

0.93 

2.85 

0.94 

2.84 

0.95 

2.84 

0.% 

3 

4 

3.80 

1.24 

3.80 

1.25 

3.79 

1.27 

3.79 

1.29 

4 

5 

4.76 

1.55 

4.75 

1.57 

4.74 

1.59 

4.73 

1.61 

5 

6 

5.71 

1.85 

5.70 

1.88 

5.69 

1.90 

5.68 

1.93 

6 

7 

6.  66 

2.16 

6.65 

2.19 

6.64 

2.22 

6.63 

2.25 

7 

8 

7.61 

2.47 

7.60 

2.51 

7.59 

2.54 

7.58 

2.57 

8 

9 

8.56 

2.78 

8.55 

2.82 

8.53 

2.86 

8.52 

2.89 

9 

10 

9.51 

3.09 

9.50 

3.13 

9.48 

3.17 

9.47 

3.21 

10 

11 

10.46 

3.40 

10.45 

3.44 

10.43 

3.49 

10.42 

3.54 

11 

12 

11.41 

3.71 

11.40 

3.76 

11.38 

3.81 

11.36 

3.86 

12 

13 

12.36 

4.02 

12.35 

4.07 

12.33 

4.12 

12.31 

4.18 

13 

14 

13.31 

4.33 

13.  30 

4.38 

13.28 

4.44 

13.  26 

4.50 

14 

15 

14.27 

4.64 

14.25 

4.70 

14.22 

4.  70 

14.  20 

4.82 

15 

16 

15.  22 

4.94 

15.20 

5.01 

15.17 

5.08 

15.15 

5.14 

16 

17 

16.17 

5.25 

16.14 

5.32 

16.12 

5.39 

16.10 

5.46 

17 

18 

17.12 

5.56 

17.09 

5.64 

17.07 

5.71 

17.04 

5.79 

18 

19 

18.07 

5.87 

18.  04 

5.95 

18.02 

6.03 

17.99 

6.11 

19 

20 

19.02 

6.18 

18.99 

6.26 

18.97 

6.35 

18.94 

6.43 

20 

21 

19.97 

6.49 

19.94 

6.58 

19.91 

6.66 

19.89 

6.75 

21 

22 

20.92 

6.80 

20.  89 

6.89 

20.86 

6.98 

20.83 

7.07 

22 

23 

21.87 

7.11 

21.84 

7.20 

21.81 

7.30 

21.78 

7.39 

23 

24 

22.  R3 

7.42 

22.79 

7.52 

22.76 

7.62 

22.73 

7.71 

24 

25 

23.  78 

7.73 

23.74 

7.83 

23.71 

7.93 

23.67 

8.04 

25 

26 

24.73 

8.03 

24.69 

8.14 

24.66 

8.25 

24.62 

8.36 

26 

27 

25.  (38 

8.34 

25.  64 

8.46 

25.60 

8.57 

25.57 

8.68 

27 

28 

26:63 

8.65 

26.59 

8.77 

26.  55 

8.88 

26.  51 

9.00 

28 

29 

27.58 

8.96 

27.  54 

9.08 

27.50 

9.20 

27.  46 

9.32 

29 

30 

28.53 

9.27 

28.49 

9.39 

28.45 

9.52 

28.41 

9.64 

30 

31 

29.48 

9.58 

29.44 

9.71 

29.40 

9.84 

29.35 

9.9G 

31 

32 

30.43 

9.89 

30.39 

10.02 

30.35 

10.15 

30.30 

10.29 

32 

33 

31.38 

10.  20 

31.34 

10.33 

31.29 

10.47 

31.25 

10.  61 

33 

34 

32.  34 

10.51 

32.  29 

10.  65 

32.  24 

10.79 

32.  20 

10.  93 

34 

35 

33.  29 

10.  82 

33.24 

10.  96 

33.19 

11.11 

33.  14 

11.25 

35 

36 

34.24 

11.12 

34.19 

11.27 

34.14 

11.42 

34.  09 

11.57 

36 

37 

35.19 

11.43 

35.14 

11.59 

35.  09 

11.74 

35.  04 

11.89 

37 

38 

36.  14 

11.74 

36.09 

11.90 

36.  04 

12.06 

35.  98 

12.21 

38 

39 

37.09 

12.05 

37.04 

12.21 

36.  98 

12.37 

36.  93 

12.54 

39 

40 

38.04 

12.36 

37.99 

12.53 

37.93 

12.69 

37.88 

12.86 

40 

41 

38.99 

12.67 

38.94 

12.84 

38.88 

13.01 

38.82 

13.18 

41 

42 

39.  94 

12.  98 

39.89 

13.  15 

39.  83 

13.  33 

39.77 

13.50 

42 

43 

40.90 

13.29 

40.84 

13.47 

40.78 

13.64 

40.72 

13.82 

43 

44 

41.85 

13.  60 

41.79 

13.  78 

41.73 

13.96 

41.66 

14.14 

44 

45 

42.80 

13.91 

42.74 

14.09 

42.67 

14.28 

42.  (51 

14.  46 

45 

46 

43.75 

14.21 

43.  69 

14.41 

43.62 

14.60 

43.  56 

14.79 

46 

47 

44.70 

14.52 

44.  64 

14.72 

44.57 

14.91 

44.51 

15.11 

47 

48 

45.  Co 

14.83 

45.59 

15.03 

45.52 

15.23 

45.45 

15.43 

48 

49 

46.60 

15.14 

46.  54 

15.35 

46.47 

15.55 

46.  40 

15.75 

49 

50 

47.55 

15.45 

47.48 

15.60 

47.42 

15.87 

47.35 

16.07 

50 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

~T 

| 

72". 

7W. 

jjw 

«r 

GO 

5 

44 


TABLE  4.— TRAVERSE  TABLE. 


d 

•18°. 

1«M°. 

i$ft 

IS?*0. 

B 

£-' 

p 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

48.50 

15.76 

48.43 

15.97 

48.  36 

16.  18 

48.29 

16.39 

51 

52 

49.45 

10.07 

49.38 

16.28 

49.31 

10.  50 

49.24 

16.71 

52 

53 

50.41 

16.38 

50.33 

16.  60 

50.26 

16.82 

50.  19 

17.04 

53 

54 

,r>]  .  :•((•, 

16.  09 

51.28 

16.91 

51.21 

17.13 

51.13 

17.30 

54 

65 

52.  31 

17.  Of) 

52.  23 

17.22 

52.16 

17.45 

52.08 

17.68 

55 

50 

53.  20 

17.30 

53.  18 

17.54 

53.11 

17.77 

53.  03 

18.  00 

56 

57 

54.21 

17.01 

54.  13 

17.85 

54.05 

18.09 

53.  98 

18.32 

57 

58 

55.10 

17.92 

55.  08 

18.16 

55.00 

18.40 

54.92 

18.  04 

58 

59 

50.  11 

18.  23 

50.  03 

18.48 

55.95 

18.72 

55.  87 

18.  90 

59 

00 

57.00 

18.54 

56.98 

18.79 

56.90 

19.04 

56.  82 

19.29 

60 

01 

58.01 

18.85 

57.  93 

19.10 

57.  85 

-19.36 

57.76 

19.61 

61 

02 

58.97 

19.  10 

58.88 

19.42 

58.80 

19.67 

58.71 

19.93 

62 

63 

59.92 

19.47 

59.83 

19.  73 

59.74 

19.99 

59.  66 

20.25 

63 

04 

00.87 

19.78 

60.  78 

20.04 

60.  69 

20.31 

60.60 

20.57 

04 

0") 

01.  82 

20.  09 

61.73 

20.30 

61.  64 

20.62 

61.55 

20.89 

05 

GO 

02.77 

20.40 

62.  08 

20.  67 

62.59 

20.94 

62.50 

21.22 

60 

07 

03.  72 

20.  70 

63.  63 

20.98 

63.  54 

21.26 

63.44 

21.54 

67 

08 

04.  07 

21.01 

64.  5S 

21.30 

64.  49 

21.58 

64.39 

21.  80 

68 

09 

05.  02 

21.32 

65.  53 

21.61 

65.43 

21.89 

65.34 

22.18 

69 

70 

00.57 

21.63 

66.48 

21.92 

66.38 

22.21 

66.29 

22.50 

70 

71 

07.53 

21.94 

67.43 

22.23 

67.33 

22.53 

67.23 

22.82 

71 

72 

08.48 

22.25 

68.  38 

22.55 

68.28 

22.85 

68.18 

23.14 

72 

73 

09.  43 

22.  56 

69.33 

22.  86 

69.  23 

23.  16 

69.  13 

23.47 

73 

74 

70.38 

22.87 

70.28 

23.17 

70.18 

23.48 

70.07 

23.  79 

74 

75 

71.33 

23.  18 

71.23 

23.  49 

71.  12 

23.80 

71.02 

24.11 

75 

70 

72.28 

23.49 

72.18 

23.  80 

72.07 

24.12 

71.97 

24.  43 

76 

77 

73.  23 

23.  79 

73.  13 

24.11 

73.  02 

24.43 

72.91 

24.75 

77 

78 

74.18 

24.  10 

74.08 

24.43 

73.97 

24.75 

73.86 

25.07 

78 

79 

75.13 

24.41 

75.03 

24.74 

74.92 

25.07 

74.81 

25.39 

79 

80 

70.08 

24.72 

75.98 

25.05 

75.87 

25.38 

75.75 

25.72 

80 

81 

77.04 

25.03 

76.93 

25.37 

76.  81 

25.70 

76.70 

26.04 

81 

82 

77.99 

25.  34 

77.88 

25.68 

77.  70 

26.02 

77.65 

20.36 

82 

83 

78.94 

25.65 

78.  83 

25.  99 

78.71 

26.  34 

78.60 

26.68 

83 

84 

79.89 

25.  90 

79.77 

26.31 

79.  60 

26.65 

79.54 

27.00 

84 

85 

80.84 

26.27 

80.72 

26.  62 

80.61 

26.97 

80.49 

27.32 

85 

80 

81.79 

26.58 

81.67 

26.93 

81.50 

27.29 

81.44 

27.64 

80 

87 

82.74 

26.  88 

82.  62 

27.25 

82.50 

27.  61 

82.38 

27.97 

87 

88 

83.  09 

27.19 

83.57 

27.  56 

83.  45 

27.92 

83.  33 

28.29 

88 

89 

84.  04 

27.  50 

84.52 

27.87 

84.  40 

28.24 

84.  28 

28.  61 

89 

90 

85.00 

27.81 

85.47 

28.18 

85.35 

28.56 

85.22 

28.93 

90 

91 

80.  5o 

28.12 

86.42 

28.50 

86.30 

28.87 

86.  17 

29.25 

91 

92 

87.  50 

28.  43 

87.  37 

28.81 

87.25 

29.  19 

87.12 

29.57 

92 

93 

88.  45 

28.74 

88.32 

29.12 

88.19 

29.51 

88.06 

29.89 

93 

94 

89.40 

29.05 

89.27 

29.44 

89.14 

29.  83 

89.01 

30.22 

94 

95 

90.35 

29.  30 

90.  22 

29.75 

90.09 

30.14 

89.  96 

30.54 

95 

90 

91.30 

29.07 

91.17 

30.  06 

91.04 

30.  46 

90.91 

30.  86 

90 

97 

92.25 

29.97 

92.12 

30.  38 

91.99 

30.78 

91.85 

31.18 

97 

98 

93.  20 

30.  2S 

93.  07 

30.69 

92.94 

31.10 

92.80 

31.50 

98 

99 

94.15 

30.59 

94.02 

31.00 

9.3.  88 

31.41 

93.  75 

31.82 

99 

100 

95.11 

30.90 

94.97 

31.32 

94.  83 

31.73 

94.69 

32.14 

100 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

o 

C3 

P 

a 

.3 
ft 

72°. 

w. 

71^2°. 

71M°. 

a 

TABLE  4.— TRAVERSE  TABLE. 


d 

19°. 

19M°. 

19M°. 

!9?r.         o 

rt- 

!      S- 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0.95 

0.33 

0.94 

0.33 

0.94 

0.33 

0.94 

0.34 

1 

2 

1.89 

0.65 

1.89 

0.66 

1.89 

0.07 

1.88 

0.68 

2 

3 

2.84 

0.98 

2.83 

0.99 

2.83 

1.00 

2.82 

1.01 

3 

4 

3.78 

1.30 

3.78 

1.32 

3.77 

1.34 

3.70 

1.35 

4 

5 

4.73 

1.63 

4.72 

1.65 

4.71 

1.67 

4.71 

1.  69 

5 

6 

5.67 

1.95 

5.66 

1.98 

5.66 

2.00 

5.65 

2.03 

6 

7 

6.62 

2.28 

6.61 

2.31 

6.60 

2.34 

6.59 

2.37 

7 

8 

7.56 

2.60 

7.55 

2.  04 

7.64 

2.67 

7.53 

2.70 

8 

9 

8.51 

2.93 

8.50 

2.97 

8.48 

3.00 

8.47 

3.04 

9 

10 

9.46 

3.26 

9.44 

3.30 

9.43 

3.34 

9.41 

3.38 

10 

11 

10.40 

3.58 

10.38 

3.63 

10.37 

3.67 

10.  35 

3.72 

11 

12 

11.35 

3.91 

11.33 

3.96 

11.  31 

4.01 

11.29 

4.06 

12 

13 

12.29 

4.  23 

12.27 

4.29 

12.25 

4.34 

12.24 

4.39 

13 

14 

13.24 

4.56 

13.22 

4.62 

13.  20 

4.67 

13.18 

4.  r,>, 

14 

15 

14.18 

4.88 

14.16 

4.95 

14.14 

5.01 

14.12 

5.07 

15 

1C 

15.13 

5.21 

15.11 

5.28 

15.08 

5.34 

15.06 

5.41 

16 

17 

16.07 

5.53 

16.  05 

5.60 

16.02 

5.67 

16.00 

5.74 

17 

18 

17.02 

5.80 

16.99 

5.93 

16.97 

6.01 

16.94 

6.08 

IS 

19 

17.  90 

6.19 

17.94 

6.26 

17.91 

6.34 

17.88 

6.42 

19 

20 

18.91 

6.51 

18.88 

6.59 

18.85 

G.68 

18.82 

6.76 

20 

21 

19.  80 

6.84 

19.83 

6.92 

19.80 

7.01 

19.76 

7.10 

21 

22 

20.80 

7.16 

20.  77 

7.25 

20.74 

7.34 

20.71 

7.43 

22 

23 

21.75 

7.49 

21.71 

7.58 

21.68 

7.68 

21.05 

7.77 

23 

24 

22.69 

7.81 

22.66 

7.91 

22.62 

8.01 

22.59 

8.11 

24 

25 

23.64 

8.11 

23.  00 

8.24 

23.  57 

8.35 

23.  53 

8.45 

25 

26 

24.58 

8.46 

2i.  55 

8.57 

24.51 

8.68 

24.47 

8.79 

20 

27 

25.53 

8.79 

25.49 

8.90 

25.  45 

9.01 

25.41 

9.12 

27 

28 

2(5.47 

9.12 

26.  43 

9.23 

20.  39 

9.35 

20.  35 

9.  40 

28 

29 

27.42 

9.44 

27.  38 

9.56 

27.  34 

9.68 

27.29 

9.80 

29 

30 

28.37 

9.77 

28.32 

9.89 

28.28 

10.01 

28.24 

10.14 

30 

31 

29.31 

10.09 

29.27 

10.22 

29.22 

10.35 

29.18 

10.48 

31 

32 

30.20 

10.42 

30.  21 

10.  55 

30.10 

10.68 

30.12 

10.81 

32 

33 

31.  20 

10.74 

31.15 

10.88 

31.11 

11.02 

31.00 

11.15 

33 

34 

32.15 

11.07 

32.10 

11.21 

32.  05 

11.35 

32.00 

11.49 

34 

35 

33.09 

11.39 

33.04 

11.54 

32.  99 

11.68 

32.94 

11.  83 

35 

36 

34.04 

11.  72 

33.99 

11.87 

33.94 

12.02 

33.88 

12.17 

36 

37 

34.98 

12.05 

34.93 

12.20 

34.  88 

12.35 

34.  82 

12.50 

37 

38 

35.93 

12.37 

35.  88 

12.53 

35.  82 

12.68 

35.  70 

12.84 

38 

39 

36.88 

12.  70 

30.82 

12.80 

36.  76 

13.02 

36.  71 

13.18 

39 

40 

37.82 

13.02 

37.70 

13.  19 

37.71 

13.35 

37.65 

13.52 

40 

41 

38.77 

13.35 

38.71 

13.52 

38.  65 

13.69 

38.59 

13.  85 

41 

42 

39.  71 

13.67 

39.65 

13.  85 

39.59 

14.02 

39.53 

14.19 

42 

43 

40.  06 

14.00 

40.  (SO 

11,  18 

40.53 

14.35 

40.47 

14.53 

43 

44 

41.60 

14.33 

41.54 

14.51 

41.48 

14.69 

41.41 

14.87 

44 

45 

42.55 

14.65 

42.48 

14.81 

42.42 

15.02 

42.35 

15.21 

45 

46 

43.49 

14.98 

43.43 

15.17 

43.36 

15.36 

43.29 

15.54 

40 

47 

44.44 

15.30 

44.37 

15.50 

44.30 

15.69 

44.24 

15.88 

47 

48 

45.38 

15.63 

45.32 

15.83 

45.  25 

16.02 

45.18 

10.22 

48 

49 

46.33 

15.95 

40.  20 

16.15 

46.19 

10.30 

46.12 

10.56 

49 

50 

47.28 

16.28 

47.20 

16.48 

47.13 

16.09 

47.06 

16.90 

50 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

71°. 

70%°. 

70H°- 

70M°. 

5 

46 


TABLE  4.— TRAVERSE  TABLE. 


o 

I 

19°. 

19M°. 

19^°. 

19M°. 

1 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

48.22 

16.60 

48.15 

16.81 

48.07 

17.02 

48.00 

17.23 

51 

52 

49.17 

16.93 

49.09 

17.14 

49.02 

17.36 

48.94 

17.57 

52 

53 

50.11 

17.  26 

50.04 

17.47 

49.96 

17.69 

49.88 

17.91 

53 

54 

51.  06 

17.58 

50.98 

17.80 

50.90 

18.03 

50.82 

18.25 

54 

55 

52.00 

17.91 

51.92 

18.13 

51.85 

18.36 

51.76 

18.  59 

55 

56 

52.  95 

18.23 

52.  87 

18.  46 

52.79 

18.69 

52.71 

18.92 

56 

57 

53.  89 

18.56 

53.  81 

18.79 

53.  73 

19.03 

53.65 

19.26 

57 

58 

54.84 

18.88 

54.  76 

19.12 

54.67 

19.36 

54.  59 

19.60 

58 

59 

55.  79 

19.21 

55.70 

19.45 

55.  62 

19.69 

55.  53 

19.94 

59 

GO 

56.73 

19.53 

56.65 

19.78 

56.56 

20.03 

56.47 

20.28 

60 

61 

57.68 

19.86 

57.59 

20.11 

57.50 

20.36 

57.41 

20.  61 

61 

62 

58.62 

20.19 

58.  53 

20.  44 

58.44 

20.70 

58.35 

20.95 

62 

63 

59.57 

20.51 

59.48 

20.77 

59.39 

21.  03 

59.29 

21.29 

63 

64 

60.51 

20.84 

60.42 

21.10 

60.33 

21.36 

60.  24 

21.63 

64 

65 

61.46 

21.16 

61.37 

21.43 

61.  27 

21.70 

61.  18 

21.96 

65 

66 

62.  40 

21.49 

62.  31 

21.76 

62.21 

22.03 

62.12 

22.30 

66 

67 

63.  35 

21.81 

63.  25 

22.  09 

63.16 

22.37 

63.06 

22.  64 

67 

68 

64.30 

22.14 

64.20 

22.42 

64.10 

22.70 

64.00 

22.98 

68 

69 

65.24 

22.46 

65.14 

22.  75 

65.  04 

23.  03 

64.94 

23.32 

69 

70 

66.19 

22.79 

66.  09 

23.08 

65.98 

23.37 

65.88 

23.65 

70 

71 

67.13 

23.12 

67.03 

23.41 

66.93 

23.70 

66.82 

23.  99 

71 

72 

68.08 

23.44 

67.97 

23.74 

67.87 

24.  03 

67.76 

24.  33 

72 

73 

69.02 

23.77 

68.92 

24.07 

68.81 

24.37 

68.  71 

24.  67 

73 

74 

69.97 

24.09 

69.  86 

24.40 

69.  76 

24.70 

69.  65 

25.01 

74 

75 

70.91 

24.42 

70.81 

24.  73 

70.70 

25.04 

70.  59 

25.34 

75 

76 

71.86 

24.74 

71.75 

25.06 

71.  64 

25.37 

71.  53 

25.68 

76 

77 

72.80 

25.07 

72.69 

25.  39 

72.  58 

25.  70 

72.  47 

26.02 

77 

78 

73.75 

25.39 

73.  64 

25.72 

73.53 

26.  04 

73.41 

26.36 

78 

79 

74.70 

25.72 

74.  58 

26.  05 

74.47 

26.37 

74.  35 

26.70 

79 

80 

75.64 

26.05 

75.53 

26.38 

75.41 

26.70 

75.29 

27.03 

80 

81 

76.59 

26.  37 

76.47 

26.70 

76.  35 

27.04 

76.24 

27.37 

81 

82 

77.53 

26.70 

77.42 

27.03 

77.  30 

27.37 

77.18 

27.71 

82 

83 

78.48 

27.02 

78.36 

27.  30 

78.24 

27.71 

78.12 

28.05 

83 

84 

79.42 

27.35 

79.30 

27.69 

79.18 

28.04 

79.06 

28.39 

84 

85 

80.  37 

27.67 

80.25 

28.02 

80.12 

28.37 

80.00 

28.72 

85 

86 

81.31 

28.00 

81.19 

28.35 

81.07 

28.71 

80.94 

29.06 

86 

87 

82.26 

28.  32 

82.14 

28.68 

82.01 

29.04 

81.88 

29.40 

87 

88 

83.  21 

28.65 

83.08 

29.01 

82.95 

29.38 

82.82 

29.74 

88 

89 

84.15 

28.98 

84.02 

29.34 

83.90 

29.71 

83.76 

30.07 

89 

90 

85.10 

29.30 

84.97 

29.67 

84.84 

30.04 

84.71 

30.41 

90 

91 

86.04 

29.63 

85.91 

30.00 

85.78 

30.  38 

85.  65 

30.75 

91 

92 

86.  99 

29.95 

86.86 

30.  33 

86.72 

30.71 

86.59 

31.09 

92 

93 

87.93 

30.28 

87.80 

30.  66 

87.67 

31.04 

87.53 

31.43 

93 

94 

88.88 

30.60 

88.74 

30.99 

88.61 

31.38 

88.47 

31.76 

94 

95 

89.82 

30.  93 

89.69 

31.32 

89.55 

31.71 

89.41 

32.10 

95 

96 

90.77 

31.25 

90.63 

31.  65 

90.49 

32.05 

90.  35 

32.44 

90 

97 

91.72 

31.58 

91.58 

31.98 

91.44 

32.  38 

91.29 

32.78 

97 

98 

92.66 

31.91 

92.52 

32.31 

92.38 

32.71 

92.24 

33.12 

98 

99 

93.61 

32.  23 

93.46 

32.64 

93.32 

33.  05 

93.18 

33.  45 

99 

100 

94.55 

32.56 

94.41 

32.97 

94.26 

33.38 

94.12 

33.79 

100 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

cJ 

s 

71°. 

70%°. 

70H°. 

70M°- 

I 

Q 

47 


TABLE  4. -TRAVERSE  TABLE. 


H 

20°. 

20M". 

20M°. 

20-K°. 

b 

£ 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat." 

Dep. 

Lat. 

Dep. 

I 

1 

0.94 

0.34 

0.94 

0.35 

0.94 

0.35 

0.  91 

0.35 

i 

2 

1.88 

0.  68 

1.88 

•  0.09 

1.87 

0.70 

1.87 

0.71 

2 

3 

2.82 

1.03 

2.81 

1.04 

2.81 

1.05 

2.81 

1.06 

3 

4 

3.76 

1.37 

3.75 

1.38 

3.75 

1.40 

a.  5  1 

1.42 

4 

5 

4.70 

1.71 

4.69 

1.73 

4.68 

1.75 

4.  C,8 

1.77 

5 

6 

5.64 

2.05 

5.63 

2.08 

5.62 

2.10 

5.  (;i 

2.13 

6 

7 

6.58 

2.39 

6.57 

2.42 

6.56 

2.45 

6.55 

2.48 

7 

8 

7.52 

2.74 

7.51 

2.77 

7.49 

2.80 

7.48 

2.83 

8 

9 

8.46 

3.08 

8.44 

3.12 

8.43 

3.15 

8.42 

3.19 

9 

10 

9.40 

3.42 

9.38 

3.46 

9.37 

3.50 

9.35 

3.54 

10 

11 

10.34 

3.76 

10.32 

3.81 

10.30 

3.85 

10.29 

3.90 

11 

12 

11.28 

4.10 

11.26 

4.15 

11.24 

4.20 

11.22 

4.25 

12 

13 

12.22 

4.45 

12.20 

4.50 

12.18 

4.55 

12.16 

4.61 

13 

14 

13.16 

4.79 

13.13 

4.85 

13.11 

4.90 

13.09 

4.96 

14 

15 

14.10 

5.13 

14.07 

5.19 

14.05 

5.25 

14.03 

5.31 

15 

16 

15.04 

5.47 

15.01 

5.54 

14.99 

5.60 

14.96 

5.  67 

16 

17 

15.97 

5.81 

15.95 

5.88 

15.92 

5.95 

15.90 

6.02 

17 

18 

16.91 

6.16 

16.89 

6.23 

16.86 

6.30 

16.83 

6.38 

18 

19 

17.85 

6.50 

17.83 

6.58 

17.80 

6.C5 

17.77 

6.73 

19 

20 

18.79 

6.84 

18.76 

6.92 

18.73 

7.00 

18.70 

7.09 

20 

21 

19.73 

7.18 

19.70 

7.27 

19.67 

7  35 

19.64 

7.44 

21 

22 

20.67 

7.52 

20.  C4 

7.61 

20.  61 

7.70 

20.57 

7.79 

22 

23 

21.  61 

7.87 

21.58 

7.96 

21.54 

8.05 

21.51 

8.15 

23 

24 

22.55 

8.21 

22.52 

8.31 

22.  48 

8.40 

22.44 

8.50 

24 

25 

23.  49 

8.55 

23.  45 

8.65 

23.42 

8.76 

23.38 

8.86 

25 

26 

24.43 

8.89 

24.39 

9.00 

24.  35 

9.11 

24.31 

9.21 

26 

27 

25.37 

9.23 

25.33 

9.  35 

25.  29 

9.46 

25.25 

9.57 

27 

28 

26.31 

9.58 

26.27 

9.C9 

26.23 

9.81 

26.18 

9.92 

28 

29 

27.25 

9.92 

27.21 

10.04 

27.16 

10.16 

27.12 

10.27 

29 

30 

28.19 

10.26 

28.15 

10.38 

28.10 

10.51 

28.05 

10.63 

30 

31 

29.13 

10.60 

29.08 

10.  73 

29.04 

10.86 

28.99 

10.98 

31 

32 

30.07 

10.94 

30.02 

11.08 

29.97 

11.21 

29.  92 

11.34 

32 

33 

31.01 

11.29 

30.96 

11.42 

30.  91 

11.56 

30.  86 

ll.f.9 

33 

34 

31.95 

11.  63 

31.90 

11.77 

31.85 

11.91 

31.79 

12.05 

34 

35 

32.89 

11.97 

32.84 

12.11 

32.78 

12.26 

32.  73 

12.40 

35 

36 

33.83 

12.31 

33.77 

12.  46 

33.72 

12.61 

33.66 

12.75 

36 

37 

34.77 

12.65 

34.71 

12.81 

34.  C6 

12.96 

34.  GO 

13.11 

37 

38 

35.71 

13.00 

35.G5 

13.  15 

35.59 

13.  31 

35.  54 

13.  46 

38 

39 

36.65 

13.  34 

36.  59 

13.  50 

36.  53 

13.66 

36.  47 

13.82 

39 

40 

37.59 

13.68 

37.53 

13.84 

37.47 

14.01 

37.41 

14.17 

40 

41 

38.53 

14.02 

38.47 

14.19 

38.40 

14.  36 

38.34 

14.53 

41 

42 

39.47 

14.  36 

39.40 

14.54 

39.34 

14.71 

39.  28 

14.88 

42 

43 

40.41 

14.71 

40.34 

14.88 

40.28 

15.  06 

40.21 

15.23 

43 

44 

41.35 

15.05 

41.28 

15.23 

41.21 

15.41 

41.15 

15.  59 

44 

45 

42.29 

15.39 

42.  22 

15.58 

42.  15 

15.76 

42.08 

15.94 

45 

46 

43.  23 

15.73 

43.  16 

15.92 

43.  09 

16.11 

43.  02 

16.30 

46 

47 

44.17 

16.07 

44.09 

16.27 

44.02 

16.  46 

43.  95 

16.  65 

47 

48 

45.11 

16.42 

45.  03 

16.61 

44.96 

10.  81 

44.89 

17.01 

48 

49 

46.04 

16.76 

45.97 

16.96 

45.90 

17.  16 

45.  82 

17.36 

49 

50 

46.98 

17.10 

46.91 

17.31 

46.  83 

17.51 

46.76 

17.71 

50 

c3 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

1 

fi 

70°. 

69%°. 

69H°- 

6934°. 

p 

TABLE  4. -TRAVERSE  TABLE. 


1 

m 

20°. 

W. 

*K* 

20%°. 

I 

a 
1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

i 

51 

47.92 

17.44 

47.  85 

17.65 

47.  77 

17.86 

47.69 

18.07 

51 

52 

48.  86 

17.  79 

48.79 

18.00 

48.71 

18.21 

48.63 

18.42 

52 

53 

49.80 

18.13 

49.  72 

18.34 

49.  64 

18.56 

49.56 

18.78 

53 

54 

50.74 

18.47 

50.66 

18.69 

50.58 

18.91 

50.50 

19.  13 

54 

55 

51.  68 

18.81 

51.60 

19.04 

51.52 

19.26 

51.43 

19.49 

55 

56 

52.  62 

19.15 

52.54 

19.  38 

52.45 

19.  61 

52.37 

19.84 

56 

57 

53.56 

19.50 

53.48 

19.73 

53.39 

19.96 

53.30 

20.19 

57 

58 

54.50 

19.  84 

54.42 

20.  07 

54.33 

20.31 

54.24 

20.55 

58 

59 

55.44 

20.18 

55.  35 

20.42 

55.26 

20.66 

55.17 

20.90 

59 

60 

56.38 

20.52 

56.29 

20.77 

56.20 

21.01 

56.11 

21.26 

60 

61 

57.32 

20.  86 

57.23 

21.11 

57.14 

21.36 

57.04 

21.61 

61 

62 

58.26 

21.21 

58.17 

21.46 

58.07 

21.71 

57.98 

21.97 

62 

63 

59.20 

21.55 

59.  11 

21.81 

59.01 

22.06 

58.91 

22.32 

63 

64 

60.  14 

21.89 

60.04 

22.15 

59.  95 

22.41 

59.85 

22.67 

64 

65 

61.08 

22.23 

60.38 

22.50 

60.88 

22.76 

60.78 

23.03 

65 

66 

62.02 

22.57 

61.92 

22.  84 

61.82 

23.11 

61.  72 

23.38 

66 

67 

62.96 

22.92 

62.86 

23.19 

62.76 

23.46 

62.  65 

23.74 

67 

68 

63.90 

23.  26 

63.80 

23.54 

63.69 

23.81 

63.59 

24.09 

68 

69 

64.84 

23.60 

64.74 

23.88 

64.63 

24.  16 

64.  52 

24.45 

69 

70 

65.78 

23.94 

65.67 

24.23 

65.57 

24.51 

65.  46 

24.80 

70 

71 

66.72 

24.28 

66.61 

24.57 

66.50 

24.86 

66.  39 

25.  15 

71 

72 

67.  66 

24.63 

67.55 

24.92 

67.44 

25.21 

67.  33 

25.  51 

72 

73 

68.60 

24.97 

68.49 

25.27 

68.38 

25.57 

68.26 

25.86 

73 

74 

69.54 

25.  31 

69.43 

25.61 

69.  31 

25.92 

69.20 

26.22 

74 

75 

70.48 

25.  65 

70.36 

25.96 

70.25 

26.27 

70.14 

20.  57 

75 

76 

71.42 

25.99 

71.30 

26.  30 

71.19 

26.62 

71.07 

20.  93 

76 

77 

72.36 

26.34 

72.24 

26.65 

72.12 

26.97 

72.01 

27.28 

77 

78 

73.30 

26.68 

73.18 

27.00 

73.06 

27.32 

72.94 

27.63 

78 

79 

74.24 

27.02 

74.12 

27.34 

74.00 

27.  67 

73.88 

27.99 

79 

80 

75.18 

27.36 

75.06 

27.69 

74.93 

28.02 

74.81 

28.34 

80 

81 

76.12 

27.70 

75.99 

28.04 

75.87 

28.37 

75.75 

28.70 

81 

82 

77.05 

28.05 

76.93 

28.38 

76.81 

28.72 

76.68 

29.05 

82 

83 

77.99 

28.39 

77.87 

28.73 

77.74 

29.07 

77.62 

29.41 

83 

84 

78.93 

28.  73 

78.81 

29.07 

78.  68 

29.42 

78.55 

29.76 

84 

85 

79.87 

29.07 

79.75 

29.  42 

79.62 

29.77 

79.49 

30.11 

85 

86 

80  81 

29.41 

80.68 

29.77 

80.55 

30.12 

80.42 

30.47 

86 

87 

81.75 

29.76 

81.62 

30.11 

81.49 

30.47 

81.36 

30.  82 

87 

88 

82.  69 

30.10 

82.56 

30.  46 

82.43 

30.82 

82.  29 

31.18 

88 

89 

83.63 

30.  44 

83.50 

30.80 

83.36 

31.17 

83.23 

31.53 

89 

90 

84.57 

30.78 

84.44 

31.15 

84.30 

31.52 

84.  10 

31.89 

90 

91 

85.51 

31.12 

85.38 

31.50 

85.24 

31.87 

85.10 

32.24 

91 

92 

86.45 

31.47 

86.31 

31.84 

86.17 

32.22 

86.03 

32.  59 

92 

93 

87.39 

31.81 

87.25 

32.19 

87.11 

32.57 

86.  97 

32.95 

93 

94 

88.  33 

32.15 

88.19 

32.54 

88.05 

32.92 

87.90 

33.30 

94 

95 

89.27 

32.49 

89.13 

32.88 

88.08 

33.  27 

88.84 

33.  66 

95 

96 

90.21 

32.83 

90.07 

33.  23 

89.  92       33.  62 

89.77 

34.01 

96 

97 

91.15 

33.18 

91.00 

33.57 

90.  86       33.  97 

90.  71 

34.37 

97 

98 

92.09 

33.52 

91.94 

33.  92 

91.79 

34.32 

91.64 

34.  72 

98 

99 

93.03 

33.86 

92.88 

34.27 

92.  73 

34.67 

92.58 

35.07 

99 

ICO 

93.97 

34.20 

93.82 

34.61 

93.67 

35.02 

93.51 

35.43 

100 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

5 

70°. 

«* 

69^°. 

tf*r 

I 

41479—10- 


49 


TABLE  4.— TRAVERSE  TABLE. 


0 

1 

21°. 

w. 

a* 

2134°. 

B 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.93 

0.36 

0.93 

0.36 

0.93 

0.37 

0.93 

0.37 

1 

2 

1.87 

0.72 

1.86 

0.72 

1.86 

0.73 

1.86 

0.74 

2 

3 

2.80 

1.08 

2.80 

1.09 

2.79 

1.10 

2.79 

1.11 

3 

4 

3.73 

1.43 

3.73 

1.45 

3.72 

1.47 

3.72 

1.48 

4 

5 

4.67 

1.79 

4.66 

1.81 

4.65 

1.83 

4.64 

1.85 

5 

6 

5.60 

2.15 

5.59 

2.17 

5.58 

2.20 

5.57 

2.22 

6 

7 

6.54 

2.51 

6.52 

2.54 

6.51 

2.57 

6.50 

2.59 

7 

8 

7.47 

2.87 

7.46 

2.90 

7.44 

2.93 

7.43 

2.96 

8 

9 

8.40 

3.23 

8.39 

3.26 

8.37 

3.30 

8.36 

3.  34 

9 

10 

9.34 

3.58 

9.32 

3.62 

9.30 

3.67 

9.29 

3.71 

10 

11 

10.27 

3.94 

10.25 

3.99 

10.23 

4.03 

10.52 

4.08 

11 

12 

11.20 

4.30 

11.18 

4.35 

11.17 

4.40 

11.15 

4.45 

12 

13 

12.14 

4.66 

12.12 

4.71 

12.10 

4.76 

12.07 

4.82 

13 

14 

13.07 

5.02 

13.05 

5.07 

13.03 

5.13 

13.00 

5.19 

14 

15 

14.00 

5.38 

13.98 

5.44 

13.96 

5.50 

13.93 

5.56 

15 

16 

14.94 

5.73 

14.91 

5.80 

14.89 

5.86 

14.86 

5.93 

16 

17 

15.87 

6.09 

15.84 

6.16 

15.82 

6.23 

15.79 

6.30 

17 

18 

16.80 

6.45 

16.78 

6.52 

16.75 

6.60 

16.  72 

6.67 

18 

19 

17.74 

6.81 

17.71 

6.89 

17.68 

6.96 

17.65 

7.04 

19 

20 

18.67 

7.17 

18.64 

7.25 

18.61 

7.33 

18.58 

7.41 

20 

21 

19.  61 

7.53 

19.57 

7.61 

19.54 

7.70 

19.51 

7.78 

21 

22 

20.54 

7.88 

20.50 

7.97 

20.47 

8.06 

20.43 

8.15 

22 

23 

21.47 

8.24 

21.  44 

8.34 

21.40 

8.43 

21.36 

8.52 

23 

24 

22.41 

8.60 

22.37 

8.70 

22.33 

8.80 

22.29 

8.89 

24 

25 

23.34 

8.96 

23.30 

9.06 

23.26 

9.16 

23.22 

9.26 

25 

26 

24.  27 

9.32 

24.23 

9.42 

24.19 

9.53 

24.15 

9.63 

26 

27 

25.21 

9.68 

25.16 

9.79 

25.12 

9.90 

25.08 

10.01 

27 

28 

26.14 

10.03 

26.10 

10.15 

26.  05 

10.26 

26.01 

10.38 

28 

29 

27.07 

10.39 

27.03 

10.51 

26.98 

10.  63 

26.94 

10.75 

29 

30 

28.01 

10.75 

27.96 

10.87 

27.91 

11.00 

27.86 

11.12 

30 

31 

28.94 

11.11 

28.89 

11.24 

28.84 

11.36 

28.79 

11.49 

31 

32 

29.87 

11.47 

29.82 

11.60 

29.77 

11.73 

29.72 

11.  86 

32 

33 

30.81 

11.83 

30.76 

11.96 

30.70 

12.09 

30.  65 

12.  23 

33 

34 

31.74 

12.18 

31.69 

12.32 

31.63 

12.46 

31.58 

12.60 

34 

35 

32.68 

12.54 

32.62 

12.69 

32.56 

12.83 

32.51 

12.  9  / 

35 

36 

33.61 

12.90 

33.55 

13.05 

33.50 

13.19 

33.44 

13.34 

36 

37 

34.54 

13.26 

34.48 

13.41 

34.43 

13.56 

34.37 

13.71 

37 

38 

35.48 

13.62 

35.42 

13.77 

35.36 

13.93 

35.29 

14.08 

38 

39 

36.  41 

13.98 

36.35 

14.14 

36.29 

14.29 

36.22 

14.45 

39 

40 

37.34 

14.33 

37.28 

14.50 

37.22 

14.66 

37.  15 

14.82 

40 

41 

38.28 

14.69 

38.21 

14.86 

38.15 

15.  03 

38.08 

15.19 

41 

42 

39.21 

15.05 

39.14 

15.  22 

39.08 

15.39 

39.01 

15.56 

42 

43 

40.14 

15.41 

40.08 

15.58 

40.01 

15.76 

39.94 

15.93 

43 

44 

41.08 

15.77 

41.01 

15.95 

40.94 

16.13 

40.87 

16.30 

44 

45 

42.01 

16.13 

41.94 

16.31 

41.87 

16.49 

41.80 

16.68 

45 

46 

42.94 

16.48 

42.87 

16.67 

42.80 

16.86 

42.73 

17.05 

46 

47 

43.88 

16.84 

43.80 

17.03 

43.73 

17.23 

43.65 

17.42 

47 

48 

44.81 

17.20 

44.74 

17.40 

44.66 

17.59 

44.58 

17.79 

48 

49 

45.75 

17.56 

45.67 

17.76 

45.59 

17.96 

45.51 

18.16 

49 

50 

46.68 

17.92 

46.60 

18.12 

46.52 

18.33 

46.44 

18.53 

50 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

0 

a 

03 

• 

^^> 

22 

S 

69°. 

68%°. 

68^°. 

68M°. 

p 

50 


TABLE  4.— TRAVERSE  TABLE, 


g 

21°. 

»*-. 

2W. 

21M°. 

a 

i 

rt 

fl 

P 
C3 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

47.61 

18.28 

47.53 

18.48 

47.45 

18.69 

47.37 

18.90 

51 

52 

48.55 

18.64 

48.  40 

18.  85 

48.  38 

19.  06 

48.30 

19.27 

52 

53 

49.48 

18.99 

49.  40 

19.21 

49.31 

19.42 

49.23 

19.64 

53 

54 

50.41 

19.35 

50.  33 

19.57 

50.24 

19.  79 

50.  10 

20.01 

54 

55 

51.35 

19.71 

51.20 

19.  93 

51.17 

20.  16 

51.08 

20.  38 

55 

56 

52.28 

20.  07 

52.19 

20.  30 

52.  10 

20.  52 

52.01 

20.  75 

56 

57 

63.  21 

20.43 

53.12 

20.06 

53.  03 

20.  89 

52.94 

21.12 

57 

58 

54.15 

20.79 

54.00 

21.02 

53.96 

21.26 

53.87 

21.49 

58 

59 

55.  08 

21.14 

54.99 

.   21.38 

54.89 

21.62 

54.80 

21.  86 

59 

60 

50.01 

21.50 

55.92 

21.75 

55.83 

21.99 

55.73 

22.23 

60 

01 

50.95 

21.86 

50.  85 

22.11 

56.76 

22.  36 

56.60 

22.60 

61 

OB 

57.88 

22  22 

57.78 

22.47 

57.09 

22.72 

57.59 

22.97 

62 

03 

58.82 

22!  58 

58.72 

22.83 

58.02 

23.  09 

58.52 

23.35 

63 

04 

59.75 

22.94 

59.05 

23.20 

59.  55 

23.  46 

59.44 

23.72 

64 

G5 

GO.  08 

23.29 

00.58 

23.  50 

60.48 

23.  82 

00.37 

24.09 

65 

G6 

61.62 

23.  65 

61.51 

23.  92 

61.41 

24.19 

61.30 

24.46 

66 

07 

62.  55 

24.01 

62.44 

24.  28 

62.34 

24.  50 

62.  23 

24.83 

67 

08 

63.48 

24.37 

63.38 

24.  05 

63.27 

24.92 

63.16 

25.20 

68 

09 

04.  42 

24.  73 

64.31 

25.01 

64.20 

25.29 

64.09 

25.57 

69 

70 

65.35 

25.09 

65.24 

25.37 

65.13 

25.60 

65.02 

25.94 

70 

71 

66.28 

25.44 

66.  17 

25.73 

66.06 

20.02 

65.95 

26.31 

71 

72 

67.  22 

25.  80 

67.10 

26.10 

60.99 

26.39 

66.87 

26.08 

72 

73 

68.  15 

26.  10 

68.04 

26.46 

67.  92 

26.75 

67.80 

27.05 

73 

74 

69.  08 

26.52 

68.  97 

26.82 

68.85 

27.12 

68.73 

27.42 

74 

75 

70.02 

20.88 

69.90 

27.18 

69.78 

27.49 

69.  CO 

27.79 

75 

70 

70.95 

27.24 

70.83 

27.55 

70.71 

27.85 

70.59 

28.16 

76 

77 

71.89 

27.59 

71.76 

27.91 

71.64 

28.22 

71.52 

28.53 

77 

78 

72.82 

27.95 

72.70 

28.27 

72.57 

28.59 

72.45 

28.90 

78 

79 

73.75 

28.31 

73.63 

28.63 

73.50 

28.95 

73.38 

29.27 

79 

80 

74.69 

28.67 

74.56 

29.00 

74.43 

29.  32 

74.30 

29.64 

80 

81 

75.  02 

29.03 

75.49 

29.36 

75.36 

29.69 

75.23 

30.02 

81 

82 

70.55 

29.  39 

76.42 

29.72 

76.29 

30.  05 

70.10 

30.39 

82 

83 

77.49 

29.74 

77.36 

30.08 

77.22 

30.  42 

77.09 

30.76 

83 

84 

78.42 

30.10 

78.29 

30.44 

78.16 

30.79 

78.02 

31.13 

84 

85 

79.35 

30.  46 

79.22 

30.81 

79.09 

31.15 

78.  95 

31.50 

85 

86 

80.29 

30.82 

80.15 

31.  17 

80.02 

31.52 

79.88 

31.87 

86 

87 

81.22 

31.18 

81.08 

31.53 

80.95 

31.89 

80.81 

32.  24 

87 

88 

82.10 

31.54 

82.02 

31.89 

81.88 

32.25 

81.74 

32.61 

88 

89 

83.09 

31.89 

82.95 

32.26 

82.81 

32.62 

82.66 

32.98 

89 

90 

84.02 

32.25 

83.88 

32.62 

83.74 

32.99 

83.59 

33.35 

90 

91 

84.96 

32.61 

84.81 

32.98 

84.67 

33.35 

84.52 

33.  72 

91 

92 

85.89 

32.97 

85.74 

33.34 

85.60 

33.72 

85.45 

34.09 

92 

93 

86.82 

33.  33 

86.68 

33.71 

86.53 

34.08 

86.38 

34.46 

93 

94 

87.  76 

33.69 

87.61 

34.07 

87.46 

34.45 

87.31 

34.83 

94 

95 

88.69 

34.04 

88.54 

34.43 

88.39 

34.82 

88.24 

35.20 

95 

96 

89.62 

34.40 

89.47 

34.79 

89.32 

35.18 

89.17 

35.57 

96 

97 

90.56 

34.70 

90.40 

35.16 

90.25 

35.55 

90.09 

35.94 

97 

98 

91.49 

35.12 

91.34 

35.52 

91.18 

35.92 

91.02 

36.31 

98 

99 

92.42 

35.48 

92.27 

35.88 

92.11 

36.28 

91.95 

36.69 

99 

100 

93.36 

35.84 

93.20 

36.24 

93.04 

36.65 

92.88 

37.06 

100 

j 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

9 

P 

3 

fl 

I 

s 

69°. 

68%°. 

ff» 

68^°. 

5 

51 


TABLE  4. -TRAVERSE  TABLE. 


2 

22° 

2'>i/° 

2»<f; 

22^°. 

d 

en" 

1 

S? 

P 
1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

I 

1 

0.93 

0.37 

0.93 

0.38 

0.92 

0.38 

0.92 

0.39 

1 

2 

1.85 

0.75 

1.85 

0.76 

1.85 

0.77 

1.84 

0.77 

2 

3 

2.78 

1.12 

2.78 

1.14 

2.77 

1.15 

2.77 

1.16 

3 

4 

3.71 

1.50 

3.70 

1.51 

3.70 

1.53 

3.69 

1.55 

4 

5 

4.64 

1.87 

4.63 

1.89 

4.62 

1.91 

4.61 

1.93 

5 

6 

5.56 

2.25 

5.55 

2.27 

5.54 

2.30 

5.53 

2.32 

(i 

7 

6.49 

2.62 

6.48 

2.65 

6.47 

2.68 

6.46 

2.71 

7 

8 

7.42 

3.00 

7.40 

3.03 

7.39 

3.06 

7.38 

3.09 

8 

9 

8.34 

3.37 

8.33 

3.41 

8.31 

3.44 

8.30 

3.48 

9 

10 

9.27 

3.75 

9.26 

3.79 

9.24 

3.83 

9.22 

3.87 

10 

11 

10.20 

4.12 

10.18 

4.17 

10.16 

4.21 

10.14 

4.25 

11 

12 

11.13 

4.50 

11.11 

4.54 

11.09 

4.59 

11.07 

4.64 

12 

13 

12.05 

4.87 

12.03 

4.92 

12.01 

4.97 

11.99 

5.03 

13 

14 

12.98 

5.24 

12.  96 

5.30 

12.  93 

5.36 

12.91 

5.41 

14 

15 

13.91 

5.62 

13.88 

5.68 

13.86 

5.74 

13.  83 

5.80 

15 

16 

14.83 

5.99 

14.81 

6.06 

14.78 

6.12 

14.76 

6.19 

16 

17 

15.  76 

6.37 

15.73 

6.44 

15.71 

6.51 

15.68 

6.57 

17 

18 

16.69 

6.74 

16.66 

6.82 

16.  63 

6.89 

16.60 

6.96 

18 

19 

17.62 

7.12 

17.59 

7.19 

17.  55 

7.27 

17.52 

7.35 

19 

20 

18.54 

7.49 

18.51 

7.57 

18.48 

7.65 

18.44 

7.73 

20 

21 

19.47 

7.87 

19.44 

7.95 

19.40 

8.04 

19.37 

8.12 

21 

22 

20.40 

8.24 

20.36 

8.33 

20.33 

8.42 

20.29 

8.51 

22 

23 

21.33 

8.62 

21.29 

8.71 

21.25 

8.80 

21.21 

8.89 

23 

24 

22.25 

8.99 

22.21 

9.09 

22.17 

9.18 

22.  13 

9.28 

24 

25 

23.18 

9.37 

23.14 

9.47 

2.3.  10 

9.57 

23.  06 

9.67 

25 

26 

24.11 

9.74 

24.06 

9.84 

24.02 

9.95 

23.  98 

10.05 

26 

27 

25.03 

10.11 

24.99 

10.22 

24.94 

10.33 

24.90 

10.44 

27 

28 

25.96 

10.49 

25.92 

10.  60 

25.87 

10.72 

25.82 

10.83 

28 

29 

26.89 

10.86 

26.  84 

10.98 

26.79 

11.  10 

26.74 

11.21 

29 

30 

27.82 

11.24 

27.77 

11.36 

27.72 

11.48 

27.67 

11.60 

30 

31 

28.74 

11.61 

28.69 

11.74 

28.64 

11.86 

28.59 

11.99 

31 

32 

29.67 

11.99 

29.62 

12.12 

29.56 

12.25 

29.51 

12.37 

32 

33 

30.  (50 

12.36 

30.54 

12.50 

30.49 

12.  63 

30.43 

12.  76 

33 

34 

31.52 

12.  74 

31.47 

12.87 

31.41 

13.  01 

31.35 

13.  15 

34 

35 

32.45 

13.11 

32.39 

13.  25 

32.34 

13.  39 

32.28 

13.53 

35 

36 

33.  38 

13.49 

33.32 

13.63 

33.26 

13.78 

33.20 

13.  92 

36 

37 

34.31 

13.86 

34.24 

14.01 

34.18 

14.  16 

34.12 

14.31 

37 

38 

35.  23 

14.24 

35.  17 

14.39 

35.11 

14.54 

35.04 

14.70 

38 

39 

36.16 

14.61 

36.  10 

14.77 

36.03 

14.92 

35.97 

15.08 

39 

40 

37.09 

14.98 

37.02 

15.15 

36.96 

15.31 

36.89 

15.47 

40 

41 

38.01 

15.36 

37.95 

15.52 

37.88 

15.  69 

37.81 

15.86 

41 

42 

38.94 

15.73 

38.87 

15.90 

38.80 

16.07 

38.73 

16.24 

42 

43 

39.87 

16.11 

39.80 

16.28 

39.73 

16.46 

39.  65 

16.  63 

43 

44 

40.80 

16.48 

40.72 

16.66 

40.  65 

16.84 

40.58 

17.02 

44 

45 

41.72 

16.  86 

41.65 

17.04 

41.57 

17.22 

41.50 

17.40 

45 

46 

42.65 

17.23 

42.57 

17.42 

42.50 

17.60 

42.42 

17.79 

46 

47 

43.58 

17.61 

43.50 

17.80 

43.42 

17.99 

43.  34 

18.18 

47 

48 

44.50 

17.  98 

44.43 

18.18 

44.35 

18.37 

44.27 

18.  56 

48 

49 

45.43 

18.36 

45.35 

18.55 

45.27 

18.75 

45.19 

18.95 

49 

50 

46.36 

18.73 

46.28 

18.93 

46.19 

19.13 

46.11 

19.34 

50 

g 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

j 

• 

•3 

to 

3 

68°. 

673/T- 

67H°. 

6734°. 

52 


TABLE  4. -TRAVERSE   TABLE. 


b 

22°. 

22M°. 

22^°. 

22%°. 

d 

IK 

55' 
5 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

47.29 

19.10 

47.20 

19.31 

47.12 

19.52 

47.03 

19.72 

51 

52 

48.21 

19.48 

48.13 

19.  69 

48.04 

19.90 

47.95 

20.11 

52 

53 

49.14 

19.85 

49.05 

20.07 

48.97 

20.28 

48.88 

20.50 

53 

54 

50.07 

20.23 

49.  98 

20.45 

49.89 

20.66 

49.80 

20.88 

54 

55 

51.00 

20.  60 

50.  90 

20.83 

50.81 

21.05 

50.72 

21.27 

55 

56 

51.92 

20.98 

51.83 

21.20 

51.74 

21.43 

51.64 

21.66 

56 

57 

52.  85 

21.35 

52.76 

21.58 

52.66 

21.81 

52.  57 

22.04 

57 

58 

53.  78 

21.73 

53.68 

21.96 

53.59 

22.  20 

53.49 

22.43 

58 

59 

54.  70 

22.  10 

54.  61 

22.  31 

54.51 

22.  58 

54.41 

22.82 

59 

60 

55.63 

22.48 

55.53 

22.72 

55.43 

22.96 

55.33 

23.20 

60 

61 

56.  56 

22.85 

56.46 

23.10 

56.36 

23.34 

56.25 

23.59 

61 

62 

57.49 

23.23 

57.38 

23.48 

57.28 

23.73 

57.  18 

23.  98 

62 

63 

58.41 

23.  60 

58.31 

23.85 

58.20 

24.11 

58.10 

24.  36 

63 

64 

59.  34 

23.  97 

59.23 

24.23 

59.13 

24.  49 

59.02 

24.75 

64 

65 

60.  27 

24.  35 

60.16 

24.  61 

60.05 

24.87 

59.94 

25.  14 

.  65 

66 

61.  19 

24.72 

61.09 

24.  99 

60.98 

25.  26 

60.  87 

25.52 

66 

67 

62.  12 

25.10 

62.01 

25.  37 

61.90 

25.64 

61.79 

25.91 

67 

68 

63.  05 

25.  47 

62.94 

25.  75 

62.  82 

26.  02 

62.71 

26.30 

68 

69 

63.  98 

25.  85 

63.  86 

26.13 

63.75 

26.  41 

63.63 

26.  68 

69 

70 

64.90 

26.22 

64.79 

26.51 

64.67 

26.79 

64.55 

27.07 

70 

71 

65.  83 

26.  60 

65.71 

26.88 

65.  60 

27.17 

65.  48 

27.46 

71 

72 

66.  76 

26.  97 

66.  64 

27.  26 

66.52 

27.55 

66.  40 

27.84 

72 

73 

67.  68 

27.  35 

67.56 

27.  64 

67.44 

27.  94 

67.  32 

28.23 

73 

74 

68.61 

27.72 

68.  49 

28.02 

68.37 

28.32 

68.  24 

28.62 

74 

75 

69.  54 

28.10 

69.42 

28.40 

69.29 

28.70 

69.  17 

29.00 

75 

76 

70.47 

28.47 

70.  34 

28.78 

70.21 

29.08 

70.09 

29.39 

76 

77 

71.39 

28.84 

71.27 

29.16 

71.14 

29.47 

71.01 

29.78 

77 

78 

72.32 

29.22 

72.19 

29.  53 

72.06 

29.85 

71.93 

30.  16 

78 

79 

73.  25 

29.59 

73.  12 

29.91 

72.99 

30.23 

72.85 

30.55 

79 

80 

74.17 

29.97 

74.04 

30.29 

73.91 

30.61 

73.78 

30.94 

80 

81 

75.10 

30.34 

74.97 

30.  67 

74.83 

31.00 

74.70 

31.32 

81 

82 

76.03 

30.72 

75.89 

31.05 

75.  76 

31.  38 

75.  62 

31.71 

82 

83 

76.  96 

31.09 

76.82 

31.43 

76.  68 

31.  76 

76.54 

32.  10 

83 

84 

77.88 

31.47 

77.75 

31.81 

77.61 

32.15 

77.46 

32.48 

84 

85 

78.81 

31.84 

78.67 

32.19 

78.53 

32.53 

78.  39 

32.  87 

85 

86 

79.74 

32.  22 

79.60 

32.56 

79.45 

32.91 

79.31 

33.  26 

86 

87 

80.  66 

32.59 

80.52 

32.94 

80.  38 

33.29 

80.23 

33.  64 

87 

88 

81.  59 

32.97 

81.45 

33.32 

81.30 

33.  68 

81.15 

34.  03 

88 

89 

82.52 

33.  34 

82.37 

33.70 

82.  23 

34.  06 

82.  08 

34.42 

89 

90 

83.45 

33.71 

83.30 

34.08 

83.15 

34.44 

83.00 

34.80 

90 

91 

84.37 

34.09 

84.  22 

34.  46 

84.07 

34.82 

83.92 

35.19 

91 

92 

85.30 

34.46 

85.15 

34.84 

85.  00 

35.  21 

84.84 

35.58 

92 

93 

86.  23 

34.84 

86.08 

35.21 

85.  92 

35.59 

85.  76 

35.96 

93 

94 

87.  16 

35.  21 

87.  00 

35.  59 

86.84 

35.97 

86.  69 

36.35 

94 

95 

88.08 

35.59 

87.93 

35.97 

87.77 

36.35 

87.  61 

36.74 

95 

96 

89.01 

35.  96 

88.  85 

36.35 

88.  69 

36.74 

88.53 

37.12 

96 

97 

89.  04 

36.34 

89.  78 

36.73 

89.62 

37.12 

89.45 

37.51 

97 

98 

90.  86 

36.71 

90.70 

37.11 

90.54 

37.  50 

90.38 

37.90 

98 

99 

91.79 

37.09 

91.63 

37.49 

91.46 

37.89 

91.30 

38.28 

99 

100 

92.  72 

37.46 

92.55 

37.86 

92.39 

38.27 

92.22 

38.67 

100 

( 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

s 

c3 

c 

1 

« 

68°. 

6734°. 

67Ji°- 

67M°- 

2 

q 

53 


TABLE  4.— TRAVERSE  TABLE. 


2 

23°. 

23M°. 

23MT. 

23*4°. 

d 

?l- 

p 

DD 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 
1 

i 

0.92 

0.39 

0.92 

0.39 

0.92 

0.40 

0.92 

0.40 

1 

2 

1.84 

0.78 

1.84 

0.79 

1.83 

0.80 

1.83 

0.81 

2 

3 

2.76 

1.17 

2.76 

1.18 

2.75 

1.20 

2.75 

1.21 

3 

4 

3.68 

1.56 

3.68 

1.58 

3.67 

1.59 

3.66 

1.61 

4 

5 

4.60 

1.95 

4.59 

1.97 

4.59 

1.99 

4.58 

2.01 

5 

6 

5.52 

2.34 

5.51 

2.37 

5.50 

2.39 

5.49 

2.42 

6 

7 

G.44 

2.74 

6.43 

2.76 

6.42 

2.  79 

6.41 

2.82 

7 

8 

7.36 

3.13 

7.35 

3.  16 

7.34 

3.19 

7.  32 

3.22 

8 

9 

8.28 

3.52 

8.27 

3.  55 

8.25 

3.  59 

8.24 

3.62 

9 

10 

9.21 

3.91 

9.19 

3.95 

9.17 

3.99 

9.  15 

4.03 

10 

11 

10.  13 

4.30 

10.11 

4.34 

10.09 

4.39 

10.07 

4.43 

11 

12 

11.05 

4.69 

11.03 

4.74 

11.00 

4.78 

10.  9S 

4.83 

12 

13 

11.97 

5.08 

11.94 

5.13 

11.92 

5.18 

11.90 

5.  24 

13 

14 

5.47 

12.86 

5.53 

12.  Si 

5.58 

12.81 

5.64 

14 

15 

13.81 

5.86 

13.78 

5.92 

13.76 

5.98 

13.  73 

6.  04 

15 

16 

14.  73 

6.25 

14.70 

6.  32 

14.67 

6.38 

14.64 

6.44 

16 

17 

15.  65 

6.64 

15.  62 

6.71 

15.59 

6.78 

15.  56 

c>.  s;, 

17 

18 

16.57 

7.03 

16.  54 

7.11 

16.  51 

7.  i^ 

1  (>.  48 

7.25 

18 

19 

17.  49 

7.42 

17.46 

7.50 

17.42 

7.  o,s 

17.39 

7.65 

19 

20 

18.41 

7.81 

18.38 

7.89 

18.34 

7.97 

18.31 

8.05 

20 

21 

19.  33 

8.21 

19.29 

8.29 

19.26 

8.37 

19.22 

8.46 

21 

22 

20.25 

8.60 

20.21 

8.68 

20.18 

8.77 

20.14 

8.86 

22 

23 

21.17 

8.99 

21.13 

9.08 

21.09 

9.17 

21.05 

9.26 

23 

24 

22.  09 

9.38 

22.  05 

9.47 

22.01 

9.57 

21.97 

9.67 

24 

25 

23.  01 

9.77 

22.97 

9.87 

22.  93 

9.97 

22.  88 

10.07 

25 

26 

23.93 

10.  16 

23.  89 

10.  26 

23.84 

10.37 

23.80 

10.47 

26 

27 

24.  85 

10.  55 

24.81 

10.  66 

24.  76 

10.77 

24.71 

10.87 

27 

28 

25.77 

10.  94 

25.  73 

11.05 

25.  68 

11.16 

25.63 

11.28 

28 

29 

26.  69 

11.33 

26.64 

11.45 

26.  59 

11.56 

26.  54 

11.68 

29 

30 

27.62 

11.72 

27.56 

11.84 

27.51 

11.96 

27.46 

12.08 

30 

31 

28.54 

12.11 

28.48 

12.24 

28.43 

12.36 

28.37 

12.49 

31 

32 

29.  46 

12.50 

29.40 

12.  63 

29.  35 

12.  76 

29.29 

12.89 

32 

33 

30.  38 

12.89 

30.  32 

13.  03 

30.26 

13.  16 

30.  21 

13.29 

33 

34 

31.30 

13.  28 

31.24 

13.42 

31.  IS 

13.56 

31.12 

13.  69 

34 

35 

32.  22 

13.  68 

32.  16 

13.82 

32.  10 

13.  96 

32.  04 

14.10 

35 

36 

33.14 

14.  07 

33.08 

14.21 

33.01 

14  35 

32.  95 

14.50 

36 

37 

34.  OG 

14.  46 

34.  00 

14.  61 

33.  93 

14.75 

33.  87 

14.90 

37 

38 

34.98 

14.85 

34.91 

15.00 

34.  85 

15.15 

34.  78 

15.30 

38 

39 

35.  90 

15.24 

35.  83 

15.40 

35.77 

15.  55 

35.70 

15.71 

39 

40 

36.82 

15.  (8 

36.75 

15.79 

36.  68 

15.95 

36.  61 

16.11 

40 

41 

37.74 

16.02 

37.  67 

16.18 

37.  60 

16.  35 

37.53 

16.  51 

41 

42 

38.  66 

16.41 

38.  59 

16.  58 

38.  52 

16.  7f. 

38.  44 

1C>.  92 

42 

43 

39.  58 

1C..  80 

39.  51 

16.97 

39.43 

17.15 

39.  36 

17.32 

43 

44 

40.  50 

17.19 

40.  43 

17.37 

40.35 

17.54 

40.27 

17.72 

44 

45 

41.42 

17.  58 

41.  35 

17.  76 

41.27 

17.  94 

41.  19 

18.12 

45 

46 

42.  34 

17.07 

42.  26 

18.  16 

42.18 

18.34 

4-2.10 

18.53 

46 

47 

43.  26 

18.  36 

43.18 

18.55 

43.10 

18.74 

43.  02 

18.93 

47 

48 

44.18 

18.76 

44.10 

18.95 

44.02 

19.14 

43.  93 

19.33 

48 

49 

45.  10 

19.15 

45.02 

19.  34 

44.94 

19.  54 

44.85 

19.  73 

49 

50 

46.  03 

19.  54 

45.  94 

19.74 

45.85 

19.  94 

45.77 

20.14 

50 

g 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

a 

CS 

a 
p 

67°. 

66^°. 

66^°- 

66M°. 

1 
0 

54 


TABLE  4.— TRAVERSE  TABLE. 


b 

* 

23°. 

23JT. 

231A°. 

23%°. 

« 
g 
S" 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.    : 

Lat. 

Dep. 

51 

46.  95 

19.93 

46.86 

20.13 

46.  77 

20.34 

46.68 

20.54 

51 

52 

47.87 

20.32 

47.78 

20.53 

47.69 

20.73 

47.60 

20.  94 

52 

ra 

48.79 

20.71 

48.70 

20.92 

48.  60 

21.13 

48.51 

21.35 

53 

54 

49.71 

21.10 

49.61 

21.32 

49.52 

21.53 

49.43 

21.75 

54 

55 

50.63 

21.49 

50.  53 

21.71 

50.44 

21.93 

50.34 

22.  15 

55 

56 

51.55 

21.88 

51.45 

22.11 

51.36 

22.  33 

51.26 

22.  55 

56 

57 

52.47 

22.27 

52.37 

22.50 

52.27 

22.73 

52.17 

22.  96 

57 

58 

53.39 

22.  66 

53.29 

22.90 

53.19 

23.13 

53.  09 

23.  36 

58 

59 

54.31 

23.05 

54.21 

23.29 

54.11 

23.53 

54.00 

23.76 

59 

GO 

55.23 

23.44 

55.13 

23.68 

55.02 

23.92 

54.92 

24.16 

00 

61 

56.15 

23.83 

56.05 

24.08 

55.94 

24.32 

55.83 

24.57 

61 

0 

57.07 

24.23 

56.97 

24.47 

56.86 

24.72 

56.75 

24.97 

62 

03 

57.99 

24.  62 

57.88 

24.87 

57.77 

25.12 

57.  66 

25.37 

03 

04 

58.91 

25.01 

58.80 

25.  26 

5S.  69 

25.52 

58.58 

25.78 

04 

05 

59.83 

25.40 

59.72 

25.  66 

59.61 

25.92 

59.50 

26.18 

05 

66 

60.75 

25.79 

60.64 

26.  05 

60.53 

26.32 

60.41 

26.  58 

66 

07 

01.67 

26.  18 

61.56 

26.  45 

61.44 

26.  72 

61.33 

26.98 

67 

68 

62.  59 

26.57 

62.48 

26.  84 

62.  36 

27.11 

62.24 

27.39 

68 

69 

63.  51 

26.96 

63.40 

27.24 

63.  28 

27.51 

63.10 

27.79 

69 

70 

64.  44 

27.35 

64.32 

27.  63 

64.19 

27.91 

64.07 

28.19 

70 

71 

65.36 

27.74 

55.23 

28.03 

65.11 

28.31 

64.  99 

28.  60 

71 

72 

66.  28 

28.  13 

66.  15 

28.42 

66.03 

28.71 

05.90 

29.00 

72 

73 

67.20 

28.  52 

67.07 

28.  82 

66.95 

29.11 

66.82 

29.40 

73 

74 

08.12 

28.  91 

67.99 

29.21 

67.86 

29.51 

67.  73 

29.80 

74 

75 

69.  04 

29.30 

68.  91 

29.  61 

68.78 

29.91 

68.  65 

30.21 

75 

76 

69.  96 

29.  70 

69.83 

30.00 

69.  70 

30.  30 

69.  56 

30.  61 

76 

77 

70.  88 

30.09 

70.75 

30.40 

70.61 

30.70 

70.  48 

31.01 

77 

78 

71.80 

30.  48 

71.67 

30.79 

71.53 

31.10 

71.39 

31.41 

78 

79 

72.72 

30.87 

72.58 

31.18 

72.45 

31.50 

72.31 

31.82 

79 

80 

73.  64 

31.26 

73.50 

31.58 

73.36 

31.90 

73.  22 

32.22 

80 

81 

74.56 

31.65 

74.42 

31.97 

74.28 

32.  30 

74.14 

32.62 

81 

82 

75.48 

32.04 

75.  34 

32.37 

75.20 

32.70 

75.06 

33.03 

82 

83 

76.40 

32.43 

76.  26 

32.76 

76.  12 

33.10 

75.97 

33.43 

83 

84 

77.32 

32.82 

77.18 

33.16 

77.03 

33.49 

76.89 

33.83 

84 

85 

78.24 

33.21 

78.10 

33.  55 

77.95 

33.89 

77.80 

34.23 

85 

86 

79.16 

33.  60 

79.02 

33.95 

78.87 

34.29 

78.72 

34.64 

M 

87 

80.08 

33.99 

79.  93 

34.34 

79.78 

34.69 

79.  63 

35.04 

87 

88 

81.00 

34.38 

80.85 

34.74 

80.70 

35.09 

80.55 

35.  44 

88 

89 

81.92 

34.78 

81.77 

35.13 

81.62 

35.49 

81.46 

35.84 

89 

90 

82.  85 

35.17 

82.69 

35.53 

82.54 

35.89 

82.38 

36.25 

90 

91 

83.77 

35.  56 

83.61 

35.92 

83.45 

36.  29 

83.29 

36.65 

91 

92 

84.69 

35.95 

84.53 

36.  32 

84.37 

36.  68 

84.21 

37.05 

92 

93 

85.  61 

36.  34 

85.45 

36.  71 

85.29 

37.08 

85.12 

37.  46 

93 

94 

86.53 

36.  73 

86.37 

37.11 

86.20 

37.48 

86.0-1 

37.86 

94 

95 

87.  45 

37.12 

87.29 

37.50 

87.12 

37.88 

86.95 

38.  26 

95 

96 

88.37 

37.51 

88.20 

37.90 

88.04 

38.28 

87.87 

38.  66 

96 

97 

89.29 

37.90 

89.12 

38.  29 

88.  95 

38.68 

88.79 

39.  07 

97 

98 

90.21 

38.29 

90.04 

38.  6S 

89.87 

39.08 

89.70 

39.47 

98 

99 

91.13 

38.68 

90.96 

39.08 

90.79 

39.48 

90.62 

39.87 

99 

100 

92.05 

39.07 

91.88 

39.47 

91.71 

39.87 

91.53 

40.27 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

S 

a 

0 

07°.                        66?r. 

66^°. 
—  V 

66M°. 

5 

55 


TABLE  4.— TRAVERSE  TABLE. 


u 

24°. 

we. 

«*>. 

24%  °. 

g 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

^ 

I 

1 

0.91 

0.41 

0.91 

0.41 

0.91 

0.41 

0.91 

0.42 

1 

2 

1.83 

0.81 

1.82 

0.82 

1.82 

0.83 

1.82 

0.84 

2 

3 

2.74 

1.22 

2.74 

1.23 

2.73 

1.24 

2.72 

1.26 

3 

4 

3.65 

1.63 

3.65 

1.64 

3.64 

1.66 

3.63 

1.67 

4 

5 

4.57 

2.03 

4.56 

2.05 

4.55 

2.07 

4.54 

2.09 

5 

6 

5.48 

2.44 

5.47 

2.46 

5.46 

2.49 

5.45 

2.51 

6 

7 

6.39 

2.85 

6.38 

2.88 

6.37 

2.90 

6.  36 

2.93 

7 

8 

7.31 

3.25 

7.29 

3.29 

7.28 

3.32 

7.27 

3.35 

8 

9 

8.22 

3.66 

8.21 

3.70 

8.19 

3.73 

8.17 

3.77 

9 

10 

9.14 

4.07 

9.12 

4.11 

9.10 

4.15 

9.08 

4.19 

10 

11 

10.05 

4.47 

10.  03 

4.52 

10.01 

4.  56 

9.99 

4.61 

11 

12 

10.96 

4.88 

10.94 

4.93 

10.92 

4.  «)8 

10.90 

5.02 

12 

13 

11.88 

5.  29 

11.85 

5.34 

11.83 

5.39 

11.81 

5.44 

13 

14 

12.  79 

5.69 

12.76 

5.75 

12.74 

5.81 

12.  71 

5.86 

14 

15 

13.70 

6.10 

13.68 

6.16 

13.  65 

6.22 

13.62 

6.28 

15 

16 

14.62 

6.51 

14.  59 

'  6.57 

14.56 

(i.  64 

14.  53 

6.70 

16 

17 

15.  53 

6.91 

15.50 

6.98 

15.47 

7.05 

15.  44 

7.12 

17 

18 

16.44 

7.32 

16.41 

7.39 

16.  38 

7.46 

16.35 

7.54 

18 

19 

17.36 

7.73 

17.32 

7.80 

17.  29 

7.88 

17.25 

7.95 

19 

20 

18.27 

8.13 

18.24 

8.21 

18.20 

8.29 

18.16 

8.37 

20 

21 

19.18 

8.54 

19.  15 

8.63 

19.11 

8.71 

19.07 

8.79 

21 

22 

20.10 

8.95 

20.  06 

9.04 

20.02 

9.12 

19.98 

9.21 

22 

23 

21.01 

9.35 

20.97 

9.45 

20.93 

9.54 

20.89 

9.63 

23 

24 

21.93 

9.76 

21.88 

9.86 

21.84 

9.95 

21.80 

10.05 

24 

25 

22.  S4 

10.17 

22.79 

10.27 

22.75 

10.37 

22.70 

10.47 

25 

26 

23.75 

10.58 

23.  71 

10.  68 

23.66 

10.78 

23.61 

10.  89 

26 

27 

24.67 

10.98 

24.  62 

11.09 

24.57 

11.20 

24.52 

11.30 

27 

28 

25.58 

11.39 

25.53 

11.50 

25.48 

11.61 

25.43 

11.72 

28 

29 

26.49 

11.80 

26.44 

11.91 

26.  39 

12.03 

26.  34 

12.  14 

29 

30 

27.41 

12.  20 

27.35 

12.32 

27.30 

12.44 

27.24 

12.  56 

30 

31 

28.32 

12.61 

28.26 

12.  73 

28.21 

12.86 

28.  15 

12.98 

31 

32 

29.23 

13.02 

29.18 

13.14 

29.12 

13.27 

29.  06 

13.  40 

32 

33 

30.15 

13.42 

30.09 

13.55 

30.03 

13.68 

29.97 

13.82 

33 

34 

31.06 

13.83 

31.00 

13.  96 

30.94 

14.10 

30.88 

14.  23 

34 

35 

31.  97 

14.24 

31.91 

14.38 

31.85 

14.51 

31.  79 

14.  65 

35 

36 

32.89 

14.  64 

32.82 

14.79 

32.  76 

14.93 

32.  69 

15.07 

36 

37 

33.80 

15.05 

33.74 

15.20 

33.  67 

15.34 

33.60 

15.49 

37 

38 

34.71 

15.46 

34.  65 

15.61 

34.58 

15.76 

34.51 

15.91 

38 

39 

35.63 

15.86 

35.  56 

16.  02 

35.49 

16.17 

35.42 

16.33 

39 

40 

36.54 

16.27 

36.47 

16.43 

36.40 

16.59 

36.33 

16.75 

40 

41 

37.46 

16.  68 

37.  38 

16.84 

37.31 

17.00 

37.23 

17.17 

41 

42 

38.37 

17.08 

38.  29 

17.25 

38.22 

17.42 

38.14 

17.58 

42 

43 

39.28 

17.49 

39.21 

17.  66 

39.  13 

17.83 

39.05 

18.00 

43 

44 

40.20 

17.90 

40.12 

18.07 

40.04 

18.25 

39.  96 

18.42 

44 

45 

41.11 

18.30 

41.03 

18.48 

40.95 

18.  66 

40.87 

18.  84 

45 

46 

42.02 

18.71 

41.94 

18.89 

41.86 

19.  08 

41.77 

19.26 

46 

47 

42.94 

19.  12 

42.  85 

19.30 

42.77 

19.49 

42.  68 

19.68 

47 

48 

43.85 

19.52 

43.  76 

19.71 

43.  68 

19.91 

43.59 

20.10 

48 

49 

44.76 

19.93 

44.  68 

20.  13 

44.59 

20.32 

44.  50 

20.51 

49  : 

50 

45.68 

20.  34 

45.59 

20.54 

45.50 

20.73 

45.41 

20.93 

60 

S 

Dep. 

Lat. 

Dep.   Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

i 

66°. 

65%°. 

65H-.   | 

65^°. 

5 

5G 


.-TRAVERSE  TABLE. 


o 

s 

24°. 

•iil*. 

24^°. 

24%°. 

d 

Bf 

P 
P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

8 

51 

46.59 

20.74 

46.50 

20.95 

46.41 

21.15 

46.32 

21.35 

51 

52 

47.50 

21.15 

47.41 

21.36 

47.32 

21.56 

47.22 

21.77 

52 

53 

48.42 

21.56 

48.32 

21.77 

48.23 

21.98 

48.13 

22.19 

53 

54 

49.33 

21.96 

49.24 

22.18 

49.14 

22.39 

49.04 

22.61 

54 

55 

50.25 

22.37 

50.15 

22.59 

50.05 

22.81 

49.95 

23.  03 

55 

56 

51.16 

22.78 

51.06 

23.00 

50.96 

23.22 

50.  86 

23.44 

56 

57 

52.07 

23.18 

51.97 

23.  41 

51.87 

23.64 

51.76 

23.  86 

57 

58 

52.99 

23.59 

52.88 

23.82 

52.78 

24.05 

52.67 

24.28 

58 

59 

53.  90 

24.00 

53.79 

24.23 

53.69 

24.47 

53.  58 

24.70 

59 

60 

54.81 

24.40 

54.71 

24.64 

54.60 

24.88 

54.49 

25.12 

60 

61 

55.73 

24.81 

55.62 

25.05 

55.51 

25.30 

55.40 

25.54 

61 

62 

56.  64 

25.  22 

56.  53 

25.46 

56.  42 

25.71 

56.  30 

25.96 

62 

63 

57.55 

25.62 

57.44 

25.88 

57.33 

26.13 

57.  21 

26.38 

63 

64 

58.47 

26.03 

58.35 

26.  29 

58.24 

26.54 

58.12 

26.79 

64 

65 

59.  as 

26.44 

59.  26 

26.70 

59.  15 

26.96 

59.03 

27.21 

G5 

66 

60.29 

26.84 

60.18 

27.11 

60.06 

27.37 

59.94 

27.  63 

66 

67 

61.21 

27.  25 

61.09 

27.52 

60.  97 

27.78 

60.85 

28.05 

67 

68 

62.12 

27.  66 

62.00 

27.93 

61.88 

28.20 

61.75 

28.47 

68 

69 

63.03 

28.06 

62.91 

28.34 

62.79 

28.  61 

62.66 

28.89 

69 

70 

63.95 

28.47 

63.82 

28.75 

63.70 

29.03 

63.57 

29.31 

70 

71 

64.86 

28.88 

64.74 

29.16 

64.61 

29.44 

64.48 

29.72 

71 

72 

65.78 

29.  29 

65.  65 

29.57 

65.52 

29.86 

65.39 

30.14 

72 

73 

66.  69 

29.  69 

66.56 

29.  98 

66.  43 

30.27 

66.29 

30.56 

73 

74 

67.  60 

30.10 

67.47 

30.  39 

67.34 

30.69 

67.20 

30.98 

74 

75 

68.52 

30.51 

68/38 

30.80 

68.25 

31.10 

68.11 

31.40 

75 

76 

69.43 

30.91 

69.29 

31.21 

69.  16 

31.52 

69.02 

31.82 

76 

77 

70.34 

31.32 

70.21 

31.  63 

70.07 

31.93 

69.93 

32.24 

77 

78 

71.26 

31.73 

71.12 

32.04 

70.98 

32.35 

70.84 

32.  66 

78 

79 

72.17 

32.13 

72.03 

32.  45 

71.89 

32.  76 

71.74 

33.  07 

79 

80 

73.08 

32.54 

72.94 

32.86 

72.  80 

33.18 

72.65 

33.49 

80 

81 

74.00 

32.95 

73.85 

33.27 

73.71 

33.59 

73.  56 

33.91 

81 

82 

74.91 

33.  35 

74.  76 

33.68 

74.62 

34.00 

74.47 

34.33 

82 

83 

75.82 

33.  76 

75.68 

34.09 

75.53 

34.42 

75.38 

34.75 

83 

84 

76.74 

34.17 

76.59 

34.50 

76.44 

34.83 

76.28 

35.17 

84 

85 

77.65 

34.57 

77.50 

34.91 

77.35 

35.25 

77.19 

35.59 

85 

86 

78.56 

34.98 

78.41 

35.32 

78.26 

35.66 

78.10 

36.00 

86 

87 

79.48 

35.  39 

79.32 

35.  73 

79.17 

36.08 

79.01 

36.  42 

87- 

88 

80.39 

35.79 

80.24 

36.14 

80.08 

36.49 

79.92 

36.84 

88 

89 

81.31 

36.20 

81.15 

36.55 

80.99 

36.  91 

80.82 

37.26 

89 

90 

82.22 

36.61 

82.06 

36.96 

81.90 

37.32 

81.73 

37.68 

90 

91 

83.13 

37.01 

82.97 

37.38 

82.81 

37.74 

82.  64 

38.10 

91 

92 

84.05 

37.42 

83.88 

37.79 

83.72 

38.15 

83.55 

38.52 

92 

93 

84.  96 

37.83 

84.79 

38.20 

84.63 

38.57 

84.  46 

38.94 

93 

94 

85.87 

38.23 

85.71 

38.61 

85.54 

38.98 

85.37 

39.35 

94 

95 

86.79 

38.  C4 

86.62 

39.02 

86.45 

39.  40 

86.27 

39.77 

95 

96 

87.70 

39.05 

87.53 

39.43 

87.36 

39.81 

87.18 

40.19 

96 

97 

88.61 

39.45 

88.44 

39.  84 

88.27 

40.23 

88.09 

40.  61 

97 

98 

89.53 

39.86 

89.  35 

40.25 

89.18 

40.64 

89.00 

41.03 

98 

99 

90.44 

40.27 

90.26 

40.  66 

90.09 

41.05 

89.91 

41.45 

99 

100 

91.35 

40.67 

91.18 

41.07 

91.00 

41.47 

90.81 

41.87 

100 

B 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

a 

§ 

5 

66°. 

UB*. 

itif*. 

65M°- 

J9 
D 

57 


TABLE  4.— TRAVERSE  TABLE. 


o 

25°. 

w 

25^°. 

2534°. 

u 
g 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

1 

1 

0.91 

0.42 

0.90 

0.43 

0.90 

0.43 

0.90 

0.43 

i 

2 

1.81 

0.85 

1.81 

0.85 

1.81 

0.86 

1.80 

0.87 

2 

3 

2.72 

1.27 

2.71 

1.28 

2.71 

1.29 

2.70 

1.30 

3 

4 

3.63 

1.69 

3.62 

1.71 

3.61 

1.72 

3.60 

1.74 

4 

5 

4.53 

2.11 

4.52 

2.13 

4.51 

2.15 

4.50 

2.17 

5 

6 

5.44 

2.54 

5.43 

2.56 

5.42 

2.58 

5.40 

2.61 

6 

7 

6.34 

2.96 

6.33 

2.99 

6.32 

3.01 

6.30 

3.04 

7 

8 

7.25 

3.38 

7.24 

3.41 

7.22 

3.44 

7.21 

3.48 

8 

9 

8.16 

3.80 

8.14 

3.84 

8.12 

3.87 

8.11 

3.91 

9 

10 

9.06 

4.23 

9.04 

4.27 

9.03 

4.31 

9.01 

4.34 

10 

11 

9.97 

4.65 

9.95 

4.69 

9.93 

4.74 

9.91 

4.78 

11 

12 

10.88 

5.07 

10.85 

5.12 

10.83 

5.17 

10.81 

5.21 

12 

13 

11.78 

5.49 

11.76 

5.55 

11.  73 

5.60 

11.71 

5.65 

13 

14 

12.  69 

5.92 

12.  66 

5.97 

12.64 

6.03 

12.61 

6.08 

14 

15 

13.59 

6.34 

13.57 

6.40 

13.  54 

6.46 

13.51 

6.52 

15 

16 

14.50 

6.76 

14.47 

6.83 

14.44 

6.89 

14.41 

6.95 

16 

17 

15.41 

7.18 

15.38 

7.25 

15.  34 

7.  32 

15.31 

7.39 

17 

18 

16.31 

7.61 

16.28 

7.68 

16.  25 

7.75 

16.21 

7.82 

18 

19 

17.22 

8.03 

17.18 

8.10 

17.15 

8.18 

17.11 

8.25 

19 

20 

18.13 

8.45 

18.09 

8.53 

18.05 

8.61 

18.01 

8.69 

20 

21 

19.03 

8.87 

18.99 

8.96 

18.95 

9.04 

18.91 

9.12 

21 

22 

19.94 

9.30 

19.90 

9.38 

19.86 

9.47 

19.82 

9.56 

22 

23 

20.85 

9.72 

20.80 

9.81 

20.76 

9.90 

20.72 

9.99 

23 

24 

21.75 

10.14 

21.71 

10.24 

21.  66 

10.33 

21.62 

10.43 

24 

25 

22.66 

10.  57 

22.61 

10.66 

22.56 

10.  76 

22.52 

10.  86 

25 

26 

23.56 

10.99 

23.52 

11.09 

23.47 

11.19 

23.42 

11.30 

26 

27 

24.47 

11.41 

24.42 

11.52 

24.37 

11.  62 

24.  32 

11.73 

27 

28 

25.38 

11.83 

25.32 

11.94 

25.27 

12.05 

25.22 

12.16 

28 

29 

26.28 

12.26 

26.23 

12.37 

26.17 

12.48 

26.12 

12.60 

29 

30 

27.19 

12.68 

27.13 

12.80 

27.08 

12.92 

27.02 

13.03 

30 

31 

28.10 

13.10 

28.04 

13.22 

27.98 

13.  35 

27.92 

13.47 

31 

32 

29.00 

13.52 

28.94 

13.  65 

28.88 

13.78 

28.82 

13.90 

32 

33 

29.91 

13.95 

29.85 

14.08 

29.79 

14.21 

29.72 

14.34 

33 

34 

30.81 

14.  37 

30.75 

14.50 

30.69 

14.64 

30.  62 

14.77 

34 

35 

31.72 

14.79 

31.66 

14.93 

31.59 

15.07 

31.52 

15.21 

35 

36 

32.63 

15.21 

32.56 

15.36 

32.  49 

15.50 

32.  43 

15.64 

36 

37 

33.53 

15.  64 

33.46 

15.78 

33.  40 

15.93 

33.33 

16.  07 

37 

38 

34.44 

16.06 

34.37 

16.21 

34.30 

16.  36 

34.  23 

16.51 

38 

39 

35.  35 

16.48 

35.27 

16.  64 

35.  20 

16.79 

35.13 

16.  94 

39 

40 

36.25 

16.90 

36.18 

17.06 

36.10 

17.22 

36.03 

17.38 

40 

41 

37.  16 

17.33 

37.08 

17.49 

37.01 

17.65 

36.93 

17.81 

41 

42 

38.  06 

17.  75 

37.  99 

17.92 

37.  91 

18.08 

37.  83 

18.25 

42 

43 

38.  97 

18.17 

38.89 

18.34 

38.81 

18.51 

38.73 

18.  68 

43 

44 

39.88 

18.  00 

39.80 

18.77 

39.71 

18.94 

39.  03 

19.12 

44 

45 

40.78 

19.02 

40.70 

19.20 

40.  62 

19.37 

40.53 

19.55 

45 

46 

41.  69 

19.44 

41.60 

19.  62 

41.52 

19.80 

41.43 

19.98 

46 

47 

42.  00 

19.86 

42.51 

20.05 

42.  42 

20.  23 

42.  33 

20.42 

47 

48 

43.50 

20.29 

43.41 

20.48 

43.  32 

20.  66 

43.23 

20.85 

48 

49 

44.  41 

20.71 

44.32 

20.90 

44.23 

21.10 

44.13 

21.29 

49 

50 

45.32 

21.13 

45.22 

21.33 

45.13 

21.53 

45.03 

21.72 

50 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

3 
& 
R 

65°. 

64%°. 

64^°. 

6«-. 

5 

58 


TABLE  4. -TRAVERSE  TABLE. 


2 

25°. 

«MT. 

«r. 

25%°. 

2 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

46.22 

21.55 

46.13 

21.76 

46.03 

21.96 

45.94 

22.16 

51 

52 

47.13 

21.98 

47.03 

22.18 

46.93 

22.  39 

46.84 

22.59 

52 

53 

48.03 

22.40 

47.94 

22.  61 

47.84 

22.82 

47.74 

23.03 

53 

54 

48.94 

22.82 

48.84 

23.03 

48.74 

23.25 

48.64 

23.46 

54 

55 

49.85 

23.24 

49.  75 

23.46 

49.64 

23.68 

49.54 

23.  89 

55 

56 

50.  75 

23.  67 

50.  65 

23.89 

50.54 

24.11 

50.44 

24.33 

56 

57 

51.66 

24.09 

51.55 

24.31 

51.45 

24.54 

51.34 

24.  76 

57 

58 

52.57 

24.51 

52.46 

24.74 

52.  35 

24.97 

52.24 

25.20 

58 

59 

53.47 

24.  93 

53.  36 

25.17 

53.  25 

25.  40 

53.  14 

25.  63 

59 

60 

54.  38 

25.  ;;o 

54.27 

25.59 

54.16 

25.83 

54.04 

26.07 

60 

61 

55.  28 

25.78 

55.  17 

26.02 

55.06 

26.26 

54.94 

26.50 

61 

62 

56.19 

2<  }.',>(> 

56.  08 

26.45 

55.  96 

26.  69 

55.84 

26.94 

62 

63 

57.10 

26.  62 

56.  98 

26.87 

56.  86 

27.  12 

56.74 

27.  37 

63 

64 

58.00 

27.0.3 

57.  89 

27.  30 

57.77 

27.  55 

57.  64 

27.80 

64 

65 

58.91 

27.47 

58.79 

27.73 

58.67 

27.98 

58.55 

28.24 

65 

66 

59.82 

27.89 

59.69 

28.15 

59.57 

28.41 

59.45 

28.  67 

66 

67 

60.  72 

28.  32 

60.  60 

28.58 

60.47 

28.84 

60.  35 

29.11 

67 

68 

61.  63 

28.74 

61.  50 

29.01 

61.  38 

29.27 

61.  25 

29.54 

68 

69 

62.54 

29.  16 

62.41 

29.43 

62.  28 

29.71 

62.15 

29.98 

69 

70 

63.44 

29.58 

63.31 

29.86 

63.18 

30.14 

63.05 

30.41 

70 

71 

64.35 

30.01 

64.  22 

30.29 

64.  08 

30.57 

63.95 

30.85 

71 

72 

65.25 

30.43 

65.12 

30.71 

64.99 

31.00 

64.85 

31.28 

72 

73 

66.  16 

30.85 

66.  03 

31.14 

65.89 

31.43 

65.75 

31.71 

73 

74 

67.07 

31.27 

66.  93 

31.57 

66.  79 

31.  86 

06.65 

32.15 

74 

75 

07.97 

31.70 

67.  83 

31.  99 

67.  69 

32.  29 

67.55 

32.58 

75 

76 

68.  88 

32.12 

68.74 

32.  42 

68.60 

32.72 

68.  45 

33.02 

76 

77 

69.79 

32.54 

69.64 

32.85 

69.50 

33.15 

69.35 

33.45 

77 

78 

70.69 

32.96 

70.55 

33.27 

70.40 

33.  58 

70.25 

33.89 

78 

79 

71.60 

33.  39 

71.45 

33.  70 

71.30 

34.01 

71.  16 

34.  32 

79 

80 

72.50 

33.81 

72.36 

34.13 

72.21 

34.44 

72.06 

34.76 

80 

81 

73.  41 

34.23 

73.26 

34.55 

73.11 

34.87 

72.96 

35.19 

81 

82 

74.  32 

34.  65 

74.17 

34.98 

74.01 

35.30 

73.  86 

35.62 

82 

83 

75.  22 

35.08 

75.07 

35.41 

74.91 

35.73 

74.76 

36.06 

83 

84 

76.  13 

35.50 

75.  97 

35.  83 

75.82 

36.  16 

75.  66 

36.  49 

84 

85 

77.04 

35.92 

76.88 

36.26 

76.72 

36.59 

76.56 

36.93 

85 

86 

77.94 

36.  35 

77.78 

36.  68 

77.62 

37.02 

77.46 

37.  36 

86 

87 

78.85 

36.  77 

78.69 

37.11 

78.52 

37.45 

78.  36 

37.80 

87 

88 

79.76 

37.19 

79.59 

37.  54 

79.  43 

37.88 

79.26 

38.23 

88 

89 

80.66 

37.  61 

80.50 

37.  96 

80.  33 

38.32 

80.  16 

38.67 

89 

90 

81.57 

38.04 

81.40 

38.39 

81.23 

38.75 

81.06 

39.10 

90 

91 

82.47 

38.  46 

82.31 

38.82 

82.  14 

39.18 

81.  96 

39.53 

91 

92 

83.  38 

38.  88 

83.  21 

39.24 

83.  04 

39.  61 

82.  86 

39.97 

92 

93 

84.29 

39.30 

84.11 

39.  67 

83.94 

40.04 

83.76 

40.40 

93 

94 

85.  19 

39.73 

85.02 

40.10 

84.  84 

40.47 

84.67 

40.84 

94 

95 

86.10 

40.15 

85.92 

40.52 

85.  75 

40.90 

85.  57 

41.27 

95 

96 

87.  01 

40.57 

86.83 

40.  95 

86.65 

41.33 

86.47 

41.71 

96 

97 

87.91 

40.99 

87.  73 

41.  38 

87.55 

41.  76 

87.  37 

42.  14 

97 

98 

88.  82 

41.42 

88.64 

41.80 

88.45 

42.19 

88.27 

42.  58 

98 

99 

89.72 

41.84 

89.  54 

42.23 

89.36 

42.  62 

89.17 

43.01 

99 

100 

90.63 

42.26 

90.45 

42.66 

90.26 

43.05 

90.07 

43.44 

100 

C3 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

o 

C3 

-»J 

B 

65°. 

64%°. 

64^°. 

64M*. 

£ 

59 


TABLE  4.— TRAVERSE  TABLE. 


0 

20°. 

2G&°. 

26^°. 

26%°.           e 

E? 

!    2- 

S" 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

5 

P 

1 

0.90 

0.44 

0.90 

0.44 

0.89 

0.45 

0.89 

0.45 

1 

2 

1.80 

0.88 

1.79 

0.88 

1.79 

0.89 

1.79 

0.90 

2 

3 

2.70 

1.32 

2.69 

1.33 

2.68 

1.34 

2.68 

1.35 

3 

4 

3.60 

1.75 

3.59 

1.77 

3.58 

1.78 

3.57 

1.80 

4 

5 

4.49 

2-19 

4.48 

2.21 

4.47 

2.23 

4.46 

2.25 

5 

8 

5.39 

2.63 

5.38 

2.65 

5.37 

2.68 

5.36 

2.70 

(5 

7 

6.29 

3.07 

6.28 

3.10 

6.  26 

3.12 

6.25 

3.15 

7 

8 

7.19 

3.51 

7.17 

3.54 

7.16 

3.57 

7.14 

3.  GO 

8 

9 

8.09 

3.95 

8.07 

3.98 

8.05 

4.02 

8.04 

4.05 

9 

10 

8.99 

4.38 

8.97 

4.42 

8.95 

4.46 

8.93 

4.50 

10 

11 

9.89 

4.82 

9.87 

4.87 

9.84 

4.91 

9.82 

4.95 

11 

12 

10.79 

5.26 

10.76 

5.31 

10.74 

5.35 

10.72 

5.40 

12 

13 

11.68 

5.70 

11.  66 

5.75 

11.63 

5.80 

11.61 

5.85 

13 

14 

12.  58 

6.14 

12.56 

6.19 

12.53 

6.25 

12.  50 

6.30 

14 

15 

13.48 

6.58 

13.  45 

6.  63 

13.  42 

6.69 

13.  39 

6.75 

15 

16 

14.38 

7.01 

14.35 

7.08 

14.32 

7.14 

14.29 

7.20 

16 

17 

15.28 

7.45 

15.  25 

7.52 

15.21 

7.59 

15.18 

7.65 

17 

18 

16.18 

7.89 

16.14 

7.96 

16.11 

8.03 

16.  07 

8.10 

18 

19 

17.08 

8.33 

17.04 

8.40 

17.00 

8.48 

16.  97 

8.55 

19 

20 

17.  98 

8.77 

17.94 

8.85 

17.90 

8.92 

17.86 

9.00 

20 

21 

18.87 

9.21 

18.83 

9.29 

18.79 

9.37 

18.75 

9.45 

21 

22 

19.  77 

9.64 

19.73 

9.  73 

19.  69 

9.82 

19.  <;.5 

9.90 

22 

23 

20.  67 

10.08 

20.  63 

10.17 

20.58 

10.26 

20.54 

10.35 

23 

24 

21.57 

10.52 

21.52 

10.61 

21.48 

10.71 

21.43 

10.80 

24 

25 

22.47 

10.96 

22.42 

11.06 

22.37 

11.15 

22.32 

11.25 

25 

26 

23.37 

11.40 

23.32 

11.50 

23.27 

11.  GO 

23.  22 

11.70 

26 

27 

24.27 

11.84 

24.22 

11.94 

24.  16 

12.  05 

24.11 

12.15 

27 

28 

25.17 

12.27 

25.11 

12.38 

25.06 

12.49 

25.00 

12.  60 

28 

29 

26.  07 

12.71 

26.01 

12.83 

25.95 

12.94 

25.90 

13.  05 

29 

30 

26.96 

13.15 

26.91 

13.27 

26.85 

13.39 

26.79 

13.50 

30 

31 

27.86 

13.59 

27.80 

13.71 

27.74 

13.  83 

27.68 

13.95 

31 

32 

28.  76 

14.03 

28.70 

14.15 

28.  64 

14.28 

28.  58 

14.40 

32 

33 

29.66 

14.47 

29.60 

14.  60 

29.53 

14.72 

29.47 

14.85 

33 

34 

30.  56 

14.90 

30.49 

15.04 

30.  43 

15.17 

30.  36 

15.30 

34 

35 

31.  46 

15.34 

31.  39 

15.48 

31.32 

15.  62 

31.25 

15.75 

35 

36 

32.  36 

15.78 

32.29 

15.92 

32.  22 

16.  06 

32.15 

16.  20 

36 

37 

33.26 

16.  22 

33.18 

16.36 

33.11 

16.  51 

33.  04 

16.65 

37 

38 

34.  15 

16.  fi(i 

34.08 

16.81 

34.01 

16.96 

33.  93 

17.10 

38 

39 

35.05 

17.10 

34.98 

17.25 

34.90 

17.40 

34.83 

17.55 

39 

40 

35.95 

17.53 

35.87 

17.  69 

35.80 

17.85 

35.72 

18.00 

40 

41 

36.85 

17.97 

36.  77 

18.13 

36.69 

18.29 

36.  61 

18.45 

41 

42 

37.75 

18.41 

37.67 

18.58 

37.59 

18.74 

37.51 

18.90 

42 

43 

38.  65 

18.85 

38.57 

19.  02 

38.48 

19.19 

38.40 

19.35 

43 

44 

39.55 

19.29 

39.46 

19.  46 

39.38 

19.  63 

39.29 

19.80 

44 

45 

40.45 

19.73 

40.36 

19.90 

40.27 

20.08 

40.18 

20.25 

45 

46 

41.34 

20.17 

41.  26 

20.35 

41.17 

20.53 

41.08 

20.70 

46 

47 

42.24 

20.60 

42.  15 

20.79 

42.06 

20.97 

41.97 

21.15 

47 

48 

43.14 

21.04 

43.  05 

21.23 

42.  96 

21.42 

42.  86 

21.  60 

48 

49 

44.04 

21.48 

43.95 

21.67 

43.85 

21.86 

43.  76 

22.  05 

49 

50 

44.94 

21.92 

44.84 

22.11 

44.75 

22.31 

44.65 

22.50 

50 

aj 
g 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

g 

03 

rt 

t/5 

i 

P. 

«•. 

«fe* 

63^°. 

63M°- 

0 

60 


TABLE  4.— TRAVERSE  TABLE. 


g 

20°. 

«MR 

26H°. 

26%°. 

I 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

O 

51 

45.84 

22.  36 

45.74 

22.  56 

45.64 

22.76 

45.54 

22.96 

51 

52 

46.74 

22.80 

40.  64 

23.00 

46.54 

23.  20 

46.43 

23.  41 

52 

53 

47.  64 

23.  23 

47.53 

23.  44 

47.43 

23.  65 

47.33 

23.  86 

53 

54 

48.53 

23.  67 

48.43 

23.88 

48.33 

24.09 

4S.22 

24.31 

54 

55 

49.  43 

24.11 

49.33 

24.  33 

49.22 

24.54 

49.11 

24.76 

55 

56 

50.33 

24.55 

50.22 

24.77 

50.12 

24.  !»9 

.50.01 

25.21 

50 

57 

51.23 

24.  99 

51.12 

25.21 

51.01 

25.  43 

50.90 

25.  06 

57 

58 

52.  13 

25.43 

52.  02 

25.65 

51.91 

25.88 

51.79 

26.11 

58 

59 

53.  03 

25.  86 

52.  92 

2(5.  10 

52.80 

26.  33 

52.  09 

26.  56 

59 

60 

53.93 

26.30 

53.81 

26.54 

53.70 

26.  77 

53.58 

27.01 

60 

61 

54.83 

20.  74 

54.  71 

26.  98 

54.59 

27.22 

54.47 

27.46 

61 

62 

55.  73 

27.18 

55.  61 

27.42 

55.49 

27.66 

55.36 

27.91 

62 

63 

f)0.  62 

27.  62 

56.  50 

27.  86 

50.  38 

28.11 

56.  26 

28.36 

63 

64 

57.52 

28.  06 

57.40 

28.31 

57.28 

28.56 

57.15 

28,81 

64 

65 

58.  42 

28.49 

58.30 

28.75 

58.17 

29.00 

58.04 

29.  26 

05 

60 

59.  32 

28.93 

59.19 

29.19 

59.07 

29.45 

58.94 

29.71 

66 

67 

60.  22 

29.  37 

60.09 

29.  63 

59.96 

29.90 

59.83 

30.  10 

67 

68 

61.  12 

29.81 

60.99 

30.  08 

60.86 

30.34 

60.72 

30.  61 

68 

69 

62.02 

30.25 

61.88 

30.52 

61.75 

30.  79 

61.62 

31.06 

69 

70 

62.  92 

30.69 

62.78 

30.96 

62.65 

31.23 

62.51 

31.51 

70 

71 

63.  81 

31.12 

63.68 

31.40 

63.54 

31.68 

63.40 

31.96 

71 

72 

64.71 

31.56 

64.  57 

31.84 

64.  44 

32.13 

64.29 

32.41 

72 

73 

65.  61 

32.  00 

65.  47 

32.29 

65.33 

32.  57 

65.19 

32.86 

73 

74 

66.  51 

32.  44 

66.  37 

32.  73 

66.  23 

33.  02 

06.  08 

33.  31 

74 

75 

67.41 

32.88 

67.  27 

33.  17 

67.12 

33.  46 

66.  97 

33.76 

75 

76 

68.  31 

33.  32 

68.  16 

33.  61 

68.01 

33.  91 

67.87 

34.21 

76 

77 

69.21 

33.  75 

69.  06 

34.  06 

68.  91 

34.  36 

68.  70 

34.  66 

77 

78 

70.11 

34.19 

69.  96 

34.50 

69.80 

34.80 

69.  65 

35.]] 

78 

79 

71.00 

34.  63 

70.  85 

34.94 

70.  70 

35.  25 

70.55 

35.  56 

79 

80 

71.90 

35.07 

71.75 

35.38 

71.59 

35.70 

71.44 

36.01 

80 

81 

72.80 

35.51 

72.  65 

35.83 

72.49 

36.14 

72.33 

36.  46 

81 

82 

73.70 

35.95 

73.54 

36.  27 

73.38 

36.  59 

73.  22 

36.91 

82 

83 

74.  60 

36.  38 

74.44 

30.  71 

74.28 

37.03 

74.  12 

37.36 

83 

84 

75.50 

36.  82 

75.34 

37.  15 

75.17 

37.48 

75.01 

37.81 

84 

85 

76.  40 

37.  26 

76.  23 

37.  59 

76.  07 

37.93 

75.  90 

38.  26 

85 

80 

77.30 

37.70 

77.13 

38.  04 

76.96 

38.37 

76.  80 

38.71 

86 

87 

78.20 

38.14 

78.03 

38.48 

77.  86 

38.82 

77.  69 

39.  16 

87 

88 

79.09 

38.58 

78.92 

38.92 

78.  75 

39.27 

78.58 

39.  01 

88 

89 

79.99 

39.02 

79.82 

39.36 

79.65 

39.71 

79.48 

40.  06 

89 

90 

80.89 

39.45 

80.72 

39.81 

80.54 

40.16 

80.37 

40.51 

90 

91 

81.79 

39.89 

81.62 

40.25 

81.44 

40.  60 

81.  26 

40.96 

91 

92 

82.  69 

40.  33 

82.51 

40.  (59 

82.  33 

41.05 

82.  15 

41.41 

92 

93 

83.59 

40.77 

83.41 

41.13 

83.23 

41.50 

83.  05 

41.  86 

93 

94 

84.49 

41.21 

84.  31 

41.58 

84.12 

41.94 

83.  94 

42.31 

94 

95 

85.39 

41.65 

85.20 

42.02 

85.02 

42.39 

84.  83 

42.  76 

95 

90 

86.  28 

42.08 

86.10 

42.48 

85.91 

42.  83 

85.  73 

43.21 

96 

97 

87.18 

42.52 

87.00 

42.90 

86.  81 

43.  28 

86.62 

43.  06 

97 

98 

88.08 

42.  96 

87.89 

43.34 

87.70 

43.73 

87.51 

44.11 

98 

99 

88.98 

43.40 

88.79 

43.  79 

88.  60 

44.17 

88.  40 

44.56 

99 

100 

89.88 

43.84 

89.69 

44.23 

89.49 

44.62 

89.30 

45.01 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

a 

5 

64°. 

C3W. 

«0 

OW-. 

2 

p 

61 


TABLE  4.— TRAVERSE  TABLE. 


g 

27°. 

27M° 

271x,0 

2734°. 

0 

I 

I 

• 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.89 

0.45 

0.89 

0.46 

0.89 

0.46 

0.88 

0.47 

1 

2 

1.78 

0.91 

1.78 

0.92 

1.77 

0.92 

1.77 

0.93 

2 

3 

2.67 

1.36 

2.67 

1.37 

2.66 

1.39 

2.65 

1.40 

3 

4 

3.56 

1.82 

3.56 

1.83 

3.55 

1.85 

3.54 

1.86 

4 

5 

4.46 

2.27 

4.45 

2.29 

4.44 

2.31 

4.42 

2.33 

5 

6 

5.35 

2.72 

5.33 

2.75 

5.32 

2.77 

5.31 

2.79 

6 

7 

6.24 

3.18 

6.22 

3.21 

6.21 

3.23 

6.19 

3.26 

7 

8 

7.13 

3.63 

7.11 

3.66 

7.10 

3.69 

7.08 

3.72 

8 

9 

8.02 

4.09 

8.00 

4.12 

7.98 

4.16 

7.96 

4.19 

9 

10 

8.91 

4.54 

8.89 

4.58 

8.87 

4.62 

8.85 

4.66 

10 

11 

9.80 

4.99 

9.78 

5.04 

9.76 

5.08 

9.73 

5.12 

11 

12 

10.  69 

5.45 

10.  67 

5.49 

10.64 

5.54 

10.  62 

5.59 

12 

13 

11.58 

5.90 

11.56 

5.95 

11.  53 

6.00 

11.50 

6.05 

13 

14 

12.47 

6.  36 

12.45 

(i.  41 

12.42 

6.46 

12.39 

6.52 

14 

15 

13.37 

6.81 

13.  34 

6.  87 

13.  31 

6.  93 

13.27 

6.98 

15 

16 

14.  26 

7.26 

14.22 

7.33 

14.19 

7.39 

14.16 

7.45 

16 

17 

15.15 

7.72 

15.11 

7.78 

15.08 

7.85 

15.  04 

7.92 

17 

18 

16.04 

8.17 

16.00 

8.24 

15.97 

8.31 

15.  93 

8.38 

18 

19 

16.93 

8.63 

16.  89 

8.70 

16.85 

8.77 

16.  81 

8.85 

19 

20 

17.82 

9.08 

17.78 

9.16 

17.74 

9.23 

17.70 

9.31 

20 

21 

18.71 

9.53 

18.  67 

9.62 

18.63 

9.70 

18.58 

9.78 

21 

22 

19.60 

9.99 

19.56 

10.07 

19.51 

10.16 

19.47 

10.24 

22 

23 

20.49 

10.44 

20.45 

10.53 

20.40 

10.  62 

20.35 

10.71 

23 

24 

21.  38 

10.90 

21.34 

10.99 

21.29 

11.08 

21.24 

11.17 

24 

25 

22.28 

11.  35 

22.23 

11.45 

22.  18 

11.54 

22.12 

11.64 

25 

26 

23.17 

11.80 

23.11 

11.90 

23.  08 

12.01 

23.01 

12.11 

28 

27 

24.06 

12.  28 

24.00 

12.36 

23.95 

12.47 

23.89 

12.57 

27 

28 

24.95 

12.71 

24.89 

12.82 

24.84 

12.  93 

24.78 

13.  04 

28 

29 

25.84 

13.17 

25.78 

13.28 

25.72 

13.39 

25.  66 

13.50 

29 

30 

26.73 

13.62 

26.67 

13.74 

26.61 

13.85 

26.55 

13.97 

30 

31 

27.62 

14.07 

27.56 

14.19 

27.50 

14.31 

27.43 

14.  43 

31 

32 

28.  51 

14.53 

28.45 

14.65 

28.38 

14.78 

28.32 

14.90 

32 

33 

29.40 

14.98 

29.  34 

15.11 

29.27 

15.24 

29.20 

15.  37 

33 

34 

30.  29 

15.44 

30.23 

15.57 

30.  16 

15.70 

30.  09 

15.  83 

34 

35 

31.19 

15.89 

31.12 

16.  03 

31.05 

10.  16 

30.97 

16.30 

35 

36 

32.08 

16.34 

32.00 

16.48 

31.93 

16.62 

31.  86 

16.76 

36 

37 

32.97 

16.80 

32.89 

16.94 

32.82 

17.08 

32.74 

17.23 

37 

38 

33.86 

17.25 

33.78 

17.40 

33.71 

17.55 

33.63 

17.  69 

38 

39 

34.75 

17.71 

34.67 

17.86 

34.59 

18.01 

34.51 

18.16 

39 

40 

35.64 

18.16 

35.56 

18.31 

35.48 

18.47 

35.40 

18.62 

40 

41 

36.  53 

18.61 

36.45 

18.77 

36.37 

18.93 

36.28 

19.09 

41 

42 

37.42 

19.07 

37.34 

19.23 

37.25 

19.39 

37.17 

19.  56 

42 

43 

38.31 

19.52 

38.  23 

19.69 

38.14 

19.86 

38.05 

20.02 

43 

44 

39.20 

19.98 

39.12 

20.15 

39.03 

20.32 

38.94 

20.49 

44 

45 

40.10 

20.43 

40.01 

20.60 

39.92 

20.78 

39.82 

20.95 

45 

46 

40.99 

20.88 

40.89 

21.06 

40.80 

21.24 

40.71 

21.42 

46 

47 

41.88 

21.34 

41.78 

21.52 

41.69 

21.70 

41.59 

21.88 

47 

48 

42.77 

21.79 

42.67 

21.98 

42.58 

22.16 

42.48 

22.  35 

48 

49 

43.66 

22.25 

43.56 

22.44 

43.46 

22.63 

43.36 

22.82 

49 

50 

44.55 

22.70 

44.45 

22.89 

44.35 

23.09 

44.25 

23.28 

50 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

s 

63°. 

62%°. 

62^°. 

«« 

i 

TABLE  4.— TRAVERSE  TABLE. 


o 
i 

• 

27°. 

27M°. 

271/3°. 

27%°. 

B 

§ 
p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

45.44 

23.  15 

45.34 

23.35 

45.24 

23.55 

45.13 

23.75 

51 

52 

46.  33 

23.61 

46.23 

23.81 

46.12 

24.01 

46.02 

24.21 

52 

53 

47.22 

24.06 

47.12 

24.27 

47.01 

24.47 

46.90 

24.68 

53 

54 

48.11 

24.52 

48.01 

24.  73 

47.90 

24.93 

47.79 

25.14 

54 

55 

49.01 

24.97 

48.90 

25.18 

48.79 

25.  40 

48.67 

25.  61 

55 

56 

49.90 

25.  42 

49.  78 

25.64 

49.67 

25.86 

49.56 

26.07 

56 

57 

50.  79 

25.88 

50.67 

26.  10 

50.56 

26.32 

50.44 

26.  54 

57 

58 

51.68 

26.  33 

51.56 

26.56 

51.45 

26.78 

51.33 

27.01 

58 

59 

52.57 

26.79 

52.  45 

27.01 

52.  33 

27.24 

52.21 

27.47 

59 

60 

53.46 

27.24 

53.34 

27.47 

53.22 

27.70 

53.10 

27.94 

60 

61 

54.35 

27.69 

54.23 

27.93 

54.11 

28.17 

53.98 

28.40 

61 

62 

55.24 

28.15 

55.12 

28.39 

54.  99 

28.63 

54.87 

28.87 

62 

63 

56.  13 

28.60 

58.01 

28.85 

55.88 

29.09 

55.75 

29.33 

63 

64 

57.  02 

29.  06 

56.90 

29.30 

56.77 

29.  55 

56.64 

29.80 

64 

65 

57.92 

29.  51 

57.79 

29.76 

57.66 

30.01 

57.52 

30.  26 

65 

66 

58.81 

29.  96 

58.  68 

30.  22 

58.54 

30.48 

58.41 

30.  73 

66 

67 

59.70 

30.  42 

59.56 

30.68 

59.43 

30.94 

59.29 

31.20 

67 

68 

60.59 

30.87 

60.45 

31.  14 

60.32 

31.40 

60.18 

31.66 

68 

69 

61.48 

31.33 

61.34 

31.59 

61.20 

31.86 

61.06 

32.13 

69 

70 

62.37 

31.78 

62.23 

32.05 

62.09 

32.32 

61.95 

32.59 

70 

71 

63.  26 

32.23 

63.12 

32.51 

62.98 

32.78 

62.83 

33.  06 

71 

72 

64.15 

32.69 

64.01 

32.97 

63.86 

33.25 

63.72 

33.52 

72 

73 

65.04 

33.  14 

64.90 

33.42 

64.75 

33.71 

64.60 

33.99 

73 

74 

65.93 

33.60 

65.79 

33.88 

65.64 

34.17 

65.49 

34.46 

74 

75 

06.83 

34.05 

66.68 

34.  34  • 

66.53 

34.63 

66.37 

34.92 

75 

76 

67.72 

34.  50 

67.57 

34.  80 

67.41 

35.  09 

67.26 

35.39 

76 

77 

68.  61 

34.96 

68.45 

35.26 

68.30 

35.55 

68.14 

35.85 

77 

78 

69.50 

35.41 

69.34 

35.71 

69.19 

36.  02 

69.03 

36.32 

78 

79 

70.  39 

35.87 

70.  23 

36.17 

70.07 

36.48 

69.91 

36.78 

79 

80 

71.28 

36.32 

71.12 

36.63 

70.96 

36.94 

70.80 

37.25 

80 

81 

72.17 

36.77 

72.01 

37.09 

71.85 

37.40 

71.68 

37.71 

81 

82 

73.06 

37.23 

72.90 

37.  55 

72.73 

37.86 

72.57 

38.18 

82 

83 

73.  95 

37.68 

73.79 

38.00 

73.62 

38.33 

73.45 

38.  65 

83 

84 

74.84 

38.14 

74.68 

38.46 

74.51 

38,79 

74.34 

39.11 

84 

85 

75.74 

38.59 

75.57 

38.92 

75.40 

39.25 

75.22 

39.58 

85 

86 

76.  63 

39.04 

76.46 

39.38 

76.28 

39.71 

76.11 

40.  04 

86 

87 

77.52 

39.50 

77.34 

39.84 

77.17 

40.17 

76.99 

40.51 

87 

88 

78.41 

39.95 

78.23 

40.29 

78.06 

40.63 

77.88 

40.97 

88 

89 

79.30 

40.41 

79.12 

40.75 

78.94 

41.10 

78.76 

41.44 

89 

90 

80.19 

40.86 

80.01 

41.21 

79.83 

41.56 

79.65 

41.91 

90 

91 

81.08 

41.31 

80.90 

41.67 

80.72 

42.02 

80.53 

42.37 

91 

92 

81.97 

41.77 

81.79 

42.12 

81.60 

42.48 

81.42 

42.84 

92 

93 

82.86 

42.22 

82.68 

42.58 

82.49 

42.94 

82.30 

43.30 

93 

94 

83.75 

42.68 

83.57 

43.04 

83.38 

43.40 

83.  19 

43.77 

94 

95 

84.65 

43.13 

84.46 

43.  50 

84.27 

43.87 

84.07 

44.23 

95 

96 

85.54 

43.58 

85.35 

43.96 

85.15 

44.33 

84.96 

44.70 

96 

97 

86.  43 

44.04 

86.23 

44,  41 

86.04 

44.79 

85.84 

45.16 

97 

98 

87.32 

44.49 

87.12 

44.87 

86.93 

45.25 

86.73 

45.63 

98 

99 

88.21 

44.95 

88.01 

45.  33 

87.81 

45.71 

87.61 

46.10 

99 

100 

89.10 

45.40 

88.90 

45.79 

88.70 

46.17 

88.50 

46.56 

100 

| 
1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

1 

63°. 

623,£°. 

62^°. 

62M°. 

ft 

63 


TABLE  4.— TRAVERSE   TABLE. 


o 

28°. 

28M°            il           2814° 

2854°. 

| 

I 

I 

I 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.88 

0.47 

0.88 

0.47 

0.88 

0.48 

0.88 

0.48 

1 

2 

1.77 

0.94 

1.76 

0.95 

1.76 

0.95 

1.75 

0.% 

2 

3 

2.65 

1.41 

2.64 

1.42 

2.64 

1.43 

2.63 

1.44 

3 

4 

3.53 

1.88 

3.52 

1.89 

3.52 

1.91 

3.51 

1.92 

4 

5 

4.41 

2.35 

4.40 

2.37 

4.39 

2.39 

4.38 

2.40 

5 

6 

5.30 

2.82 

5.29 

2.84 

5.27 

2.86 

5.26 

2.89 

6 

7 

6.18 

3.29 

6.17 

3.31 

6.15 

3.34 

6.14 

3.37 

7 

8 

7.06 

3.76 

7.05 

3.79 

7.03 

3.82 

7.01 

3.85 

8 

9 

7.95 

4.23 

7.93 

4.26 

7.91 

4.29 

7.89 

4.33 

9 

10 

8.83 

4.69 

8.81 

4.73 

8.79 

4.77 

8.77 

4.81 

10 

11 

9.71 

5.16 

9.69 

5.21 

9.67 

5.25 

9.64 

5.29 

11 

12 

10.60 

"    5.63 

10.57 

5.68 

10.  55 

5.73 

10.62 

5.77 

12 

13 

11.48 

6.10 

11.45 

6.15 

11.42 

6.20 

11.40 

6.25 

13 

14 

12.  36 

6.57 

12.  33 

6.  63 

12.30 

6.68 

12.27 

6.73 

14 

15 

13.24 

7.04 

13.21 

7.10 

13.18 

7.16 

13.15 

7.21 

15 

16 

14.13 

7.51 

14.09 

7.57 

14.06 

7.63 

14.03 

7.70 

16 

17 

15.01 

7.98 

14.98 

8.05 

14.94 

8.11 

14.90 

8.18 

17 

18 

15.89 

8.45 

15.86 

8.  52 

15.  82 

8.59 

15.78 

8.66 

18 

19 

16.78 

8.92 

16.74 

8.99 

16.70 

9.07 

16.66 

9.14 

19 

20 

17.  66 

9.39 

17.62 

9.47 

17.58 

9.54 

17.53 

9.62 

20 

21 

18.54 

9.86 

18.50 

9.94 

18.46 

10.02 

18.41 

10.10 

21 

22 

19.42 

10.33 

19.  38 

10.41 

19.33 

10.50 

19.29 

10.58 

22 

23 

20.31 

10.80 

20.  26 

10.89 

20.21 

10.97 

20.16 

11.06 

23 

24 

21.19 

11.27 

21.14 

11.36 

21.09 

11.45 

21.04 

11.54 

24 

25 

22.07 

11.74 

22.02 

11.83 

21.97 

11.93 

21.92 

12.02 

25 

26 

22.96 

12.21 

22.90 

12.31 

22.85 

12.  41 

22.79 

12.51 

26 

27 

23.84 

12.  68 

23.78 

12.78 

23.73 

12.88 

23.67 

12.99 

27 

28 

24.72 

13.15 

24.66 

13.25 

24.61 

13.36 

24.  55 

13.47 

28 

29 

25.61 

13.61 

25.55 

13.73 

25.49 

13.84 

25.43 

13.95 

29 

30 

26.49 

14.08 

26.43 

14.20 

26.36 

14.31 

26.30 

14.43 

30 

31 

27.37 

14.55 

27.31 

14.67 

27.24 

14.79 

27.18 

14.91 

31 

32 

28.25 

15.02 

28.19 

15.15 

28.12 

15.27 

28.06 

15.39 

32 

33 

29.14 

15.49 

29.07 

15.62 

29.00 

15.75 

28.93 

15.87 

33 

34 

30.02 

15.96 

29.95 

16.09 

29.88 

16.22 

29.81 

16.35 

34 

35 

30.  90 

16.43 

30.83 

16.57 

30.76 

16.70 

30.69 

16.83 

35 

36 

31.79 

16.90 

31.71 

17.04 

31.64 

17.18 

31.56 

17.32 

36 

37 

32.  67 

17.37 

32.  59 

17.51 

32.52 

17.65 

32.44 

17.80 

37 

38 

33.55 

17.84 

33.47 

17.99 

33.  40 

18.13 

33.  32 

18.28 

38 

39 

34.43 

18.31 

34.35 

18.  46 

34.27 

18.61 

34.19 

18.76 

39 

40 

35.32 

18.78 

35.24 

18.93 

35.15 

19.09 

35.07 

19.24 

40 

41 

36.20 

19.25 

36.12 

19.41 

36.03 

19.56 

35.95 

19.72 

41 

42 

37.08 

19.72 

37.00 

19.88 

36.91 

20.04 

36.82 

20.20 

42 

43 

37.97 

20.19 

37.88 

20.35 

37.  79 

20.  52 

37.70 

20.68 

43 

44 

38.85 

20.66 

38.76 

20.83 

38.67 

20.99 

38.58 

21.16 

44 

45 

39.73 

21.13 

•  39.64 

21.30 

39.55 

21.47 

39.45 

21.64 

45 

46 

40.62 

21.60 

40.52 

21.77 

40.43 

21.95 

40.33 

22.13 

46 

47 

41.50 

22.07 

41.40 

22.25 

41.30 

22.43 

41.21 

22.61 

47 

48 

42.38 

22.53 

42.28 

22.72 

42.18 

22.90 

42.08 

23.09 

48 

49 

43.26 

23.00 

43.16 

23.19 

43.06 

23.38 

42.  96 

23.57 

49 

50 

44.15 

23.47 

44.04 

23.67 

43.94 

23.86 

43.84 

24.05 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

5 

62°. 

61%°. 

wr. 

61M°. 

1 

Q 

64 


TABLE  4.— TRAVERSE  TABLE, 


g 

28°. 

28M°- 

28^°. 

28%°. 

b 

I 

<n 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

p" 

51 

45.03 

23.94 

44.93 

24.14 

44.82 

24.34 

44.71 

24.53 

51 

52 

45.91 

24.41 

45.81 

24.  61 

45.70 

24.81 

45.59 

25.01 

52 

53 

46.80 

24.88 

46.  69 

25.09 

46.58 

25.29 

46.  47 

25.49 

53 

54 

47.  68 

25.  35 

47.  57 

25.56 

47.46 

25.77 

47.  34 

25.97 

54 

55 

48.  56 

25.  82 

48.45 

26.  03 

48.  33 

26.24 

48.22 

26.45 

55 

56 

49.  45 

26.29 

49.33 

26.51 

49.21 

26.72 

49.10 

26.94 

56 

57 

50.33 

26.  76 

50.21 

26.98 

50.09 

27.20 

49.97 

27.42 

57 

58 

51.21 

27.23 

51.09 

27.45 

50.97 

27.  68 

50.85 

27.90 

58 

59 

52.09 

27.70 

51.97 

27.  93 

51.85 

28.15 

51.73 

28.38 

59 

60 

52.98 

28.17 

52.85 

28.40 

52.73 

28.63 

52.60 

28.86 

60 

61 

53.85 

28.64 

53.  73 

28.87 

53.61 

29.11 

53.48 

29.34 

61 

62 

54.74 

29.11 

54.62 

29.35 

54.49 

29.58 

54.36 

29.82 

62 

03 

55.63 

29.58 

55.50 

29.82 

55.37 

30.06 

55.23 

30.  30 

63 

64 

56.51 

30.  05 

56.38 

30.29 

56.24 

30.54 

56.11 

30.78 

64 

65 

57.39 

30.52 

57.  26 

30.77 

57.12 

31.02 

56.  99 

31.26 

C5 

66 

58.27 

30.99 

58.14 

31.  24 

58.00 

31.49 

57.86 

31.  75 

66 

67 

59.  16 

31.45 

59.02 

31.71 

58.88 

31.97 

58.74 

32.23 

67 

€8 

60.  04 

31.  92 

59.90 

32.19 

59.76 

32.45 

59.62 

32.71 

68 

69 

60.92 

32.  39 

60.78 

32.  66 

60.64 

32.92 

60.49 

33.19 

69 

70 

61.81 

32.  86 

61.66 

33.13 

61.52 

33.40 

61.37 

33.67 

70 

71 

62.  69 

33.  33 

62.54 

33.61 

62.40 

33.  88 

62.25 

34.15 

71 

72 

63.57 

33.80 

63.42 

34.08 

63.27 

34.36 

63.12 

34.63 

72 

7" 

64.46 

34.  27 

64.  31 

34.55 

64.15 

34.83 

64.00 

35.11 

73 

74 

65.34 

34.74 

65.19 

35.03 

65.03 

35.31 

64.88 

35.59 

74 

75 

66.22 

35.21 

66.07 

35.50 

65.91 

35.79 

65.75 

36.07 

75 

76 

67.10 

35.  68 

66.  95 

35.97 

66.79 

36.  26 

66.63 

36.56 

76 

77 

67.99 

36.  15 

67.83 

36.45 

67.67 

36.74 

67.51 

37.04 

77 

78 

68.87 

36.  62 

68.71 

36.92 

68.55 

37.22 

68.38 

37.52 

78 

79 

69.75 

37.09 

69.59 

37.39 

69.43 

37.70 

69.26 

38.  00 

79 

80 

70.64 

37.56 

70.47 

37.87 

70.31 

38.17 

70.14 

38.48 

80 

81 

71.52 

38.  03 

71.35 

38.34 

71.18 

38.65 

71.01 

38.96 

81 

82 

72.40 

38.50 

72.  23 

38.  81 

72.06 

39.13 

71.89 

39.44 

82 

83 

73.  28 

38.97 

73.11 

39.29 

72.94 

39.60 

72.77 

39.92 

83 

84 

74.17 

39.44 

73.99 

39.76 

73.  82 

40.08 

73.65 

40.40 

84 

85 

75.  05 

39.91 

74.88 

40.23 

74.70 

40.56 

74.52 

40.88 

85 

8'i 

75.  93 

40.  37 

75.76 

40.71 

75.58 

41.04 

75.  40 

41.37 

86 

87 

76.82 

40.84 

76.64 

41.18 

76.46 

41.51 

76.28  1    41.85 

87 

88 

77.70 

41.  31 

77.52 

41.  d5 

77.34 

41.99 

77.15 

42.  33 

88 

83 

78.58 

41.78 

78.40 

42.13 

78.21 

42.47 

78.03 

42.81 

89 

90 

79.47 

42.25 

79.28 

42.  60 

79.09 

42.94 

78.91 

43.29 

90 

91 

80.35 

42.72 

80.16 

43.07 

79.97 

43.42 

79.78 

43.  77 

91 

92 

81.  23 

43.19 

81.04 

43.55 

80.85 

43.90 

80.  66 

44.25 

92 

93 

82.11 

43.66 

81.92 

44.02 

81.  73 

44.38 

81.54 

44.73 

93 

94 

83.00 

44.13 

82.80 

44.49 

82.61 

44.85 

82.41 

45.21 

94 

95 

83.88 

44.  60 

83.68 

44.97 

83.49 

45.33 

83.29 

45.  69 

95 

96 

84.76 

45.07 

81.  57 

45.44 

84.37 

45.81 

84.17 

46.17 

96 

97 

85.  65 

45.54 

85.45 

45.91 

85.25 

46.28 

85.04 

46.  66 

97 

98 

80.  53 

46.  01 

80.  33 

46.39 

8f>.  12 

46.70 

85.  92 

47.14 

98 

99 

87.41 

46.48 

87.21 

46.  86 

87.00 

47.24 

86.80 

47.62 

99 

100 

88.29 

46.95 

88.09 

47.33 

87.88 

47.72 

87.67 

48.10 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

1 

B 

1 
a 

62°. 

6i?r. 

61J^°. 

61^°. 

1 

ft 

41479—10 5 


65 


TABLE  4. -TRAVERSE  TABLE. 


d 

29°. 

»*•. 

29K'. 

2934°. 

1 

p 

00.' 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.87 

0.48 

0.87 

0.49 

0.87 

0.49 

0.87 

0.50 

1 

2 

1.75 

0.97 

1.74 

0.98 

1.74 

0.98 

1.74 

0.99 

2 

3 

2.62 

1.45 

2.62 

1.47 

2.61 

1.48 

2.60 

1.49 

3 

4 

3.50 

1.94 

3.49 

1.95 

3.48 

1.97 

3.47 

1.98 

4 

5 

4.37 

2.42 

4.36 

2.44 

4.35 

2.46 

4.34 

2.48 

5 

6 

5.25 

2.91 

5.23 

2.93 

5.22 

2.95 

5.21 

2.98 

6 

7 

6.12 

3.39 

6.11 

3.42 

6.09 

3.45 

6.08 

3.47 

7 

8 

7.00 

3.88 

6.98 

3.91 

6.96 

3.94 

6.95 

3.97 

8 

9 

7.87 

4.36 

7.85 

4.40 

7.83 

4.43 

7.81 

4.47 

9 

10 

8.75 

4.85 

8.72 

4.89 

8.70 

4.92 

8.68 

4.96 

10 

11 

9.62 

5.33 

9.60 

5.37 

9.57 

5.42 

9.55 

5.46 

11 

12 

10.50 

5.82 

10.47 

5.86 

10.44 

5.91 

10.42 

5.95 

12 

13 

11.37 

6.30 

11.34 

6.35 

11.31 

6.40 

11.29 

6.45 

13 

14 

12.24 

6.79 

12.21 

6.84 

12.18 

6.89 

12.15 

6.95 

14 

15 

13.12 

7.27 

13.09 

7.33 

13.06 

7.39 

13.  02 

7.44 

15 

16 

13.99 

7.76 

13.96 

7.82 

13.93 

7.88 

13.89 

7.94 

16 

17 

14.87 

8.24 

14.83 

8.31 

14.80 

8.37 

14.76 

8.44 

17 

18 

15.74 

8.73 

15.70 

8.80 

15.67 

8.86 

15.63 

8.93 

18 

19 

16.62 

9.21 

16.58 

9.28 

16.54 

9.36 

16.50 

9.43 

19 

•    20 

17.49 

9.70 

17.45 

9.77 

17.41 

9.85 

17.36 

9.92 

20 

21 

18.37 

10.18 

18.32 

10.26 

18.28 

10.34 

18.23 

10.42 

21 

22 

19.24 

10.67 

19.19 

10.75 

19.15 

10.83 

19.10 

10.92 

22 

23 

20.12 

11.15 

20.07 

11.24 

20.  02 

11.33 

19.97 

11.41 

23 

24 

20.99 

11.64 

20.94 

11.73 

20.89 

11.82 

20.84 

11.91 

24 

25 

21.87 

12.12 

21.81 

12.22 

21.76 

12.31 

21.70 

12.41 

25 

26 

22.74 

12.61 

22.68 

12.70 

22.63 

12.80 

22.57 

12.90 

26 

27 

23.61 

13.  09 

23.56 

13.19 

23.50 

13.30 

23.44 

13.40 

27 

28 

24.49 

13.57 

24.  43 

13.68 

24.37 

13.79 

24.31 

13.  89 

28 

29 

25.36 

14.06 

25.  30 

14.17 

25.24 

14.28 

25.18 

14.39 

29 

30 

26.24 

14.54 

26.17 

14.66 

26.11 

14.77 

26.05 

14.89 

30 

31 

27.11 

15.03 

27.05 

15.15 

26.98 

15.27 

26.91 

15.38 

31 

32 

27.99 

15.51 

27.92 

15.64 

27.85 

15.76 

27.78 

15.88 

32 

33 

28.86 

16.00 

28.79 

16.12 

28.72 

16.25 

28.65 

16.  38        33 

34 

29.74 

16.48 

29.66 

16.61 

29.59 

16.74 

29.52 

16.  87        34 

35 

30.61 

16.97 

30.54 

17.10 

30.  46 

17.23 

30.39 

17.  37        35 

36 

31.49 

17.  45 

31.41 

17.59 

31.33 

17.73 

31.26 

17.86 

36 

37 

32.36 

17.94 

32.28 

18.08 

32.20 

18.22 

32.12 

18.36 

37 

38 

33.  24 

18.42 

33.  15 

18.57 

33.07 

18.71 

32.99 

18.  86 

38 

39 

34.11 

18.91 

34.03 

19.06 

33.94 

19.20 

33.86 

19.35 

39 

40 

34.98 

19.39 

34.90 

19.54 

34.81 

19.70 

34.73 

19.85 

40 

41 

35.86 

19.88 

35.77 

20.03 

35.68 

20.19 

35.60 

20.34 

41 

42 

36.73 

20.36 

36.64 

20.52 

36.  55 

20.68 

36.46 

20.84 

42 

43 

37.61 

20.85 

37.52 

21.01 

37.43 

21.17 

37.33 

21.34 

43 

44 

38.48 

21.  33 

38.39 

21.50 

38.30 

21.67 

38.20 

21.83 

44 

45 

39.  36 

21.82 

39.26 

21.99 

39.17 

22.16 

39.07 

22.33 

45 

46 

40.23 

22.30 

40.13 

22.48 

40.04 

22.65 

39.94 

22.83 

46 

47 

41.11 

22.79 

41.01 

22.97 

40.91 

23.14 

40.81 

23.32 

47 

48 

41.98 

23.27 

41.88 

23.45 

41.78 

23.64 

41.  67 

23.82 

48 

49 

42.86 

23.76 

42.75 

23.94 

42.  65 

24.13 

42.54 

24.31 

49 

50 

43.73 

24.24 

43.62 

24.43 

43.52 

24.62 

43.41 

24.81 

50 

B 

§ 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

1 

61°. 

60%°- 

fft 

w. 

J2 
0 

66 


TABLE  4.— TRAVERSE  TABLE. 


o 

29°. 

29M°- 

29^2°. 

29%°. 

b 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

44.61 

24.73 

44.50 

24.92 

44.39 

25.11 

44.28 

25.  31 

51 

52 

45.  48 

25.21 

45.37 

25.  41 

45.26 

25.61 

45.15 

25.80 

52 

53 

46.  35 

25.  69 

46.24 

25.  90 

46.13 

26.10 

46.01 

26.30 

53 

54 

47.23 

26.  18 

47.11 

26.39 

47.00 

26.59 

46.88 

26.80 

54 

55 

48.10 

215.  66 

47.99 

26.87 

47.87 

27.08 

47.75 

27.29 

55 

56 

48.98 

27.15 

48.86 

27.36 

48.  74 

27.58 

48.62 

27.79 

56 

57 

49.85 

27.63 

49.73 

27.85 

49.  61 

28.07 

49.  49 

28.  28 

57 

58 

50.73 

28.12 

50.60 

28.34 

50.48 

28.56 

50.36 

28.78 

58 

59 

51.60 

28.  CO 

51.48 

28.  83 

51.35 

29.05 

51.22 

29.28 

59 

60 

52.48 

29.09 

52.35 

29.32 

52.22 

29.55 

52.09 

29.  77 

60 

61 

53.35 

29.57 

53.22 

29.81 

53.09 

30.04 

52.96 

30.27 

61 

62 

54.  23 

30.06 

54.09 

30.29 

53.96 

30.53 

53.83 

30.77 

62 

63 

55.10 

30.  54 

54.97 

30.78 

54.83 

31.02 

54.70 

31.26 

63 

64 

55.98 

31.03 

55.84 

31.27 

55.70 

31.52 

55.56 

31.76 

64 

65 

56.85 

31.51 

56.71 

31.76 

56.57 

32.  01 

56.43 

32.  25 

65 

66 

57.72 

32.  00 

57.58 

32.25 

57.44 

32.50 

57.30 

32.75 

66 

67 

58.  60 

32.48 

58.46 

32.  74 

58.31 

32.99 

58.17 

33.  25 

67 

68 

59.47 

32.  97 

59.33 

33.  23 

59.  18 

33.48 

59.  Oi 

33.  74 

68 

69 

60.35 

33.45 

60.20 

33.71 

60.  05 

33.98 

59.  91 

34.24 

70 

61.22 

33.94 

61.07 

34.20 

00.92 

34.47 

60.77 

34.74 

70 

71 

62.10 

34.42 

61.95 

34.69 

61.80 

34.96 

61.64 

35.23 

71 

72 

62.97 

34.91 

62.  82 

35.  18 

62.  67 

35.45 

62.51 

35.  73 

72 

73 

63-  85 

35.39 

63.69 

35.67 

63.54 

35.  95 

63.  38 

36.  22 

73 

74 

64.72 

35.  88 

64.56 

36.  16 

64.  41 

36.44 

64.25 

36.72 

74 

75 

65.  60 

36.36 

65.  44 

36.65 

65.28 

36.93 

65.  11 

37.22 

75 

76 

66.47 

3(i.  85 

66.31 

37.14 

66.15 

37.42 

65.98 

37.71 

76 

77 

67.35 

37.33 

67.18 

37.  (.2 

67.02 

37.92 

66.85 

38.21 

77 

78 

68.22 

37.82 

68.05 

38.11 

67.89 

38.41 

67.72 

38.70 

78 

79 

69.09 

38.30 

68.93 

38.  CO 

68.  76 

38.90 

68.59 

39.20 

79 

80 

69.97 

38.78 

69.80 

39.09 

69.63 

39.39 

69.46 

39.70 

80 

81 

70.84 

39.27 

70.67 

39.58 

70.50 

39.89 

70.  32 

40.19 

81 

82 

71.72 

39.75 

71.54 

40.07 

71.37 

40.38 

71.19 

40.69 

82 

83 

72.59 

40.24 

72.42 

40.56 

72.  24 

40.87 

72.  OS') 

41.19 

83 

84 

73.47 

40.72 

73.29 

41.01 

73.11 

41.36 

72.  93 

41.08 

84 

85 

74.34 

41.21 

74.16 

41.53 

73.98 

41.86 

73.80 

42.18 

85 

86 

75.22 

41.69 

75.03 

42.  02 

74.85 

42.35 

74.67 

42.67 

86 

87 

76.09 

42.18 

75.91 

42.  51 

75.72 

42.84 

75.53 

43.17 

87 

88 

76.97 

42.  06 

76.78 

43.00 

76.  59 

43.33 

76.40 

43.67 

88 

89 

77.84 

43.  15 

77.65 

43.49 

77.46 

43.83 

77.27 

44.16 

89 

90 

78.72 

43.63 

78.52 

43.98 

78.33 

44.32 

78.14 

44.66 

90 

91 

79.  59 

44.12 

79.40 

44.46 

79.20 

44.81 

79.01 

45.16 

91 

92 

80.  47 

44.  60 

80.27 

44.  95 

80.07 

45.30 

79.87 

45.  65 

92 

93 

81.34 

45.09 

81.14 

45.44 

80.94 

45.  80 

80.74 

46.15 

93 

94 

82.21 

45.57 

82.01 

45.  93 

81.81 

46.29 

81.  61 

46.  64 

94 

95 

83.  09 

46.06 

82.89 

46.42 

82.68 

46.  78 

82.48 

47.14 

95 

96 

83.96 

46.54 

83.76 

46.91 

83.55 

47.27 

83.35 

47.  64 

96 

97 

84.84 

47.03 

84.63 

47.40 

84.42 

47.  77 

84.22 

48.13 

97 

98 

85.71 

47.51 

85.50 

47.88 

85.29 

48.26 

85.08 

48.  63 

98 

99 

86.  59 

48.00 

86.38 

48.37 

86.17 

48.75 

85.  95 

49.13 

99 

100 

87.46 

48.48 

87.25 

48.86 

87.04 

49.24 

86.82 

49.62 

100 

8 

C3 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lot. 

Dep. 

Lat. 

1 

1 

61°. 

60%°. 

60^°. 

60M°- 

5 

67 


TABLE  4. -TRAVERSE  TABLE. 


b 

30°. 

30J4°. 

30Ji°. 

30%°. 

d 

<rt- 

g- 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.       Dep. 

1 

0.87 

0.50 

0.86 

0.50 

0.86 

0.51 

0.86 

0.51 

1 

2 

1.73 

1.00 

1.  73 

1.01 

1.72 

1.02 

•     1.72 

1.02 

2 

3 

2.  CO 

1.50 

2.59 

1.51 

2.58 

1.52 

2.58 

1.53 

3 

4 

3.46 

2.00 

3.46 

2.02 

3.45 

2.03 

3.44 

2.05 

4 

5 

4.  33 

2.50 

4.32 

2.52 

4.31 

2.54 

4.30 

2.56 

5 

6 

5.20 

3.00 

5.18 

3.02 

5.17 

3.05 

5.16 

3.07 

6 

7 

6.06 

3.50 

6.05 

3.53 

6.03 

3.55 

6.02 

3.58 

7 

8 

6.93 

4.00 

6.91 

4.03 

6.89 

4.06 

6.88 

4.09 

8 

9 

7.79 

4.50 

7.77 

4.53 

7.75 

4.57 

7.73 

4.  CO 

9 

10 

8.66 

5.00 

8.64 

5.04 

8.62 

5.08 

8.59 

5.11 

10 

11 

9.53 

5.50 

9.50 

5.54 

9.48 

5.58 

9.45 

5.62 

11 

12 

10.  39 

6.00 

10.  37 

6.05 

10.34 

6.09 

10.31 

6.14 

12 

13 

11.26 

6.50 

11.23 

6.55 

11.20 

6.60 

11.17 

6.65 

13 

14 

12.12 

7.00 

12.09 

7.05 

12.06 

7.11 

12.03 

7.16 

14 

15 

12.99 

7.50 

12.96 

7.56 

12.92 

7.  61 

12.89 

7.67 

15 

16 

13.  86 

8.00 

13.  82 

8.06 

13.  79 

8.12 

13.  75 

8.18 

16 

17 

14.72 

8.50 

11.69 

8.56 

14.  (« 

8.63 

14.  61 

8.69 

17 

18 

15.59 

9.00 

15.55 

9.07 

15.51 

9.14 

15.47 

9.20 

18 

19 

16.45 

9.50 

16.41 

9.57 

16.37 

9.  (54 

16.  33 

9.71 

19 

20 

17.32 

10.00 

17.28 

10.08 

17.23 

10.15 

17.19 

10.  23 

20 

21 

18.19 

10.50 

18.14 

10.58 

18.09 

10.66 

18.  05 

10.74 

21 

22 

19.05 

11.00 

19.00 

11.08 

18.  96 

11.17 

18.91 

11.25 

22 

23 

19.92 

It.  50 

19.87 

11.59 

19.82 

11.67 

19.77 

11.76 

23 

24 

20.78 

12.00 

20.73 

12.09 

20.  68 

12.18 

20.  03 

12.27 

24 

25 

21.65 

12.  50 

21.60 

12.59 

21.54 

12.69 

21.49 

12.78 

25 

26 

22.52 

13.00 

22.46 

13.10 

22.40 

13.20 

22.  34 

13.29 

26 

27 

23.  38 

13.  50 

23.  32 

13.  60 

23.  26 

13.70 

23.20 

13.  80 

27 

28 

24.25 

14.00 

24.19 

14.11 

24.13 

14.  21 

24.  0(1 

14.32 

28 

29 

25.11 

14.50 

25.05 

14.61 

24.99 

14.72 

24.  92 

14.83 

29 

30 

25.98 

15.00 

25.92 

15.11 

25.85 

15.23 

25.78 

15.34 

30 

31 

26.8-5 

15.50 

26.78 

15.62 

26.71 

15.73 

26.  64 

15.85 

31 

32 

27.71 

16.00 

27.64 

16.12 

27.57 

16.  24 

27.50 

1C.  36 

32 

33 

28.58 

16.50 

28.51 

16.  62 

28.  43 

16.75 

28.36 

1C.  87 

33 

34 

29.44 

17.00 

29.37 

17.13 

29.30 

17.  26 

29.22 

17.  38 

34 

35 

30.31 

17.50 

30.23 

17.63 

30.  16 

17.  76 

30.  08 

17.90 

35 

36 

31.18 

18.  00 

31.10 

18.14 

31.  02 

18.27 

30.  94 

18.41 

36 

37 

32.04 

18.50 

31.  96 

18.64 

31.  88 

18.78 

31.80 

18.92 

37 

38 

32.  91 

19.00 

32.83 

19.14 

32.74 

19.29 

32.  66 

19.43 

38 

39 

33.  77 

19.50 

33.  69 

19.  65 

33.60 

19.79 

33.  52 

19.94 

39 

40 

34.64 

20.00 

34.55 

20.15 

34.47 

20.30 

34.38 

20.45 

40 

41 

35.51 

20.50 

35.42 

20.65 

35.  .33 

20.81 

35.24 

20.  96 

41 

42 

36.  37 

21.00 

36.  28 

21.  1C, 

36.  19 

21.  32 

36.  10 

21.47 

42 

43 

37.24 

21.50 

37.14 

21.  C6 

37.05 

21.82 

36.  95 

21.99 

43 

44 

38.11 

22.00 

38.01 

22.17 

37.  91 

22.33 

37.81 

22.50 

44 

45 

38.97 

22.50 

38.87 

22.  67 

38.77 

22.84 

38.67 

23.  01 

45 

46 

39.84 

23.00 

39.74 

23.  17 

39.  63 

23.  35 

39.53 

23.52 

46 

47 

40.70 

23.  50 

40.  CO 

23.  fig 

40.50 

23.  8-5 

40.  39 

24.  03 

47 

48 

41.57 

24.00 

41.  40 

24.  18 

41.36 

24.  36 

41.25 

24.54 

48 

49 

42.  44 

24.50 

42.  33 

24.  OS 

42.  22 

24.87 

42.11 

25.05 

49 

50 

43.  30 

25.00 

43.  19 

25.19 

43.08 

25.38 

42.97 

25.56 

50 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

I 

60°. 

59%°. 

59,4  Q. 

59#°. 

3 

68 


TABLE  4.— TRAVERSE  TABLE. 


1 

30°. 

30JT- 

30H>°. 

30^°. 

2 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

44.17 

25.50 

44.06 

25.  69 

43.94 

25.88 

43.83 

26.08 

51 

52 

45.03 

26.00 

44.92 

26.20 

44.80 

26.39 

44.69 

26.  59 

'52 

53 

45.90 

26.50 

45.78 

26.70 

45.67 

26.90 

45.55 

27.10 

53 

54 

46.77 

27.00 

46.65 

27.20 

46.53 

27.41 

46.41 

27.  61 

54 

55 

47.63 

27.  50 

47.51 

27.71 

47.39 

27.91 

47.27 

28.12 

55 

56 

48.50 

28.00 

48.37 

28.21 

48.25 

28.42 

48.13 

28.63 

56 

57 

49.36 

28.50 

49.24 

28.72 

49.11 

28.93 

48.99 

29.14 

57 

58 

50.23 

29.00 

50.10 

29.  22 

49.97 

29.44 

49.85 

29.  65 

58 

59 

51.10 

29.  50 

50.97 

29.72 

50.84 

29.  94 

50.70 

30.17 

59 

GO 

51.96 

30.00 

51.83 

30.23 

51.70 

30.45 

51.56 

30.68 

60 

61 

52.83 

30.  50 

52.69 

30.73 

52.56 

30.96 

52.42 

31.19 

61 

62 

53.69 

31.00 

53.56 

31.  23 

53.42 

31.47 

53.28 

31.70 

62 

63 

54.56 

31.50 

54.42 

31.74 

54.28 

31.97 

54.14 

32.21 

63 

64 

55.43 

32.00 

55.29 

32.24 

55.14 

32.48 

55.00 

32.72 

64 

65 

56.29 

32.50 

56.  15 

32.  75 

56.01 

32.99 

55.  86 

33.23 

65 

66 

57.16 

33.00 

57.01 

33.25 

56.87 

33.50 

56.72 

33.  75        66 

67 

58.02 

33.  50 

57.  88 

33.75 

57.73 

34.01 

57.  58 

34.26 

67 

68 

58.89 

34.00 

58.74 

34.26 

58.59 

34.51 

58.44 

34.77 

68 

69 

59.  76 

34.50 

59.  60 

34.76 

59.45 

35.02 

59.30 

35.28 

69 

70 

60.62 

35.00 

60.47 

35.26 

60.31 

35.53 

60.16 

35.79 

70 

71 

61.49 

35.50 

61.  33 

35.77 

61.18 

36.04 

61.02 

36.30 

71 

72 

62.35 

36.00 

62.20 

36.27 

62.04 

36.54 

61.88 

36.81 

72 

73 

63.  22 

36.  50 

63.06 

36.78 

62.90 

37.05 

62.74 

37.32 

73 

74 

64.09 

37.00 

63.92 

37.28 

63.76 

37.56 

63.60 

37.84 

74 

75 

64.95 

37.50 

64.79 

37.78 

64.62 

38.07 

64.46 

38.35 

75 

76 

65.82 

38.00 

65.  65 

38.29 

65.48 

38.57 

65.  31 

38.86 

76 

77 

66.68 

38.50 

66.52 

38.79 

66.  35 

39.  08 

66.  17 

39.37 

77 

78 

67.  55 

39.00 

67.38 

39.29 

67.  21 

39.59 

67.  03 

39.88 

78 

79 

68.42 

39.50 

68.24 

39.80 

68.07 

40.10 

67.89 

40.39 

79 

80 

69.28 

40.00 

69.11 

40.30 

68.93 

40.60 

68.75 

40.90 

60 

81 

70.15 

40.50 

69.97 

40.81 

69.79 

41.11 

69.  61 

41.41 

81 

82 

71.01 

41.00 

70.  83 

41.31 

70.65 

41.62 

70.47 

41.93 

82 

83 

71.88 

41.50 

71.70 

41.81 

71.  52 

42.13 

71.33 

42.44 

83 

84 

72.75 

42.00 

72.56 

42.32 

72.38 

42.63 

72.  19 

42.95 

84 

85 

73.  61 

42.50 

73.  43 

42.82 

73.24 

43.  14 

73.05 

43.46 

85 

86 

74.48 

43.00 

74.29 

43.  32 

74.10 

43.  65 

73.91 

43.  97 

86 

87 

75.  34 

43.50 

75.15 

43.83 

74.96 

44.  16 

74.77 

44.48 

87 

88 

76.21 

44.00 

76.02 

44.  33 

75.82 

44.  66 

75.63 

44.99 

88 

89 

77.08 

44.50 

76.88 

44.84 

76.68 

45.17 

76.49 

45.51 

89 

90 

77.94 

45.00 

77.75 

45.34 

77.55 

45.68 

77.35 

46.02 

90 

91 

78.81 

45.50 

78.61 

45.84 

78.41 

46.19 

78.21 

46.53 

91 

92 

79.67 

46.00 

79.47 

46.35 

79.27 

46.  69 

79.07 

47.04 

92 

93 

80.  54 

46.50 

80.34 

46.85 

80.13 

47.20 

79.92 

47.55 

93 

94 

81.41 

47.00 

81.20 

47.  35 

80.99 

47.71 

80.78 

48.06 

94 

95 

82.27 

47.  50 

82.  06 

47.  80 

81.85 

48.22 

81.64 

48.57 

95 

96 

83.  14 

48.00 

82.93 

48.  36 

82.72 

48.72 

82.50 

49.  OS 

96 

97 

84.00 

48.50 

83.79 

48.87 

83.  58 

49.23 

83.  36 

49.  60 

97 

98 

84.87 

49.00 

84.  66 

49.  37 

84.44 

49.74 

84.22 

50.11 

98 

99 

85.  74 

49.  50 

85.52 

49.87 

85.30 

50.  25 

85.  08 

50.62 

99 

100 

86.  CO 

50.00 

86.38 

50.38 

86.16 

50.75 

85.94 

51.13 

100 

t 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

B 

I 

§ 

i 

00°. 

59^°. 

59^°. 

59M°. 

I 

69 


TABLE  4.— TRAVERSE  TABLE. 


e 

31°. 

31^°. 

31^°. 

31^°. 

H 

<£• 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

1 

0.86 

0.52 

0.85 

0.52 

0.85 

0.52 

0.85 

0.53 

1 

2 

1.71 

1.03 

1.71 

1.04 

1.71 

1.04 

1.70 

1.05 

2 

3 

2.57 

1.55 

2.56 

1.56 

2.56 

1.57 

2.55 

1.58 

3 

4 

3.43 

2.06 

3.42 

2.08 

3.41 

2.09 

3.40 

2.10 

4 

5 

4.29 

2.58 

4.27 

2.59 

4.26 

2.61 

4.25 

2.63 

5 

6 

5.14 

3.09 

5.13 

3.11 

5.12 

3.13 

5.10 

3.16 

6 

7 

6.00 

3.61 

5.98 

3.63 

5.97 

3.66 

5.95 

3.68 

7 

8 

6.86 

4.12 

6.84 

4.15 

6.82 

4.18 

6.80 

4.21 

8 

9 

7.71 

4.64 

7.69 

4.67 

7.67 

4.70 

7.65 

4.74 

9 

10 

8.57 

5.15 

8.55 

5.19 

8.53 

5.22 

8.50 

5.26 

10 

11 

9.43 

5.67 

9.40 

5.71 

9.38 

5.75 

9.35 

5.79 

11 

12 

10.29 

6.18 

10.26 

6.23 

10.23 

6.27 

10.20 

6.31 

12 

13 

11.14 

6.70 

11.11 

6.74 

11.08 

6.79 

11.05 

6.84 

13 

14 

12.00 

7.21 

11.97 

7.26 

11.94 

7.31 

11.90 

7.37 

14 

15 

12.86 

7.73 

12.82 

7.78 

12.79 

7.84 

12.  76 

7.89 

15 

16 

13.71 

8.24 

13.68 

8.30 

13.64 

8.36 

13.  61 

8.42 

10 

17 

14.57 

8.70 

14.53 

8.82 

14.49 

8.88 

14.46 

8.95 

17 

18 

15.43 

9.27 

15.39 

9.34 

15.  35 

9.40 

15.31 

9.47 

18 

19 

16.  29 

9.79 

16.24 

9.86 

16.20 

9.93 

16.16 

10.00 

19 

20 

17.14 

10.30 

17.10 

10.38 

17.05 

10.45 

17.01 

10.  52 

20 

21 

18.00 

10.82 

17.95 

10.89 

17.91 

10.  97 

17.86 

11.05 

21 

22 

18.86 

11.33 

18.81 

11.41 

18.76 

11.49 

18.71 

11.58 

22 

23 

19.71 

11.85 

19.66 

11.93 

19.61 

12.02 

19.56 

12.10 

23 

24 

20.57 

12.36 

20.62 

12.45 

20.46 

12.54 

20.41 

12.63 

24 

25 

21.43 

12.88 

21.37 

12.97 

21.32 

13.06 

21.26 

13.16 

25 

26 

22.  29 

13.39 

22.23 

13.49 

22.17 

13.58 

22.11 

13.  C8 

26 

27 

23.14 

13.91 

23.08 

14.01 

23.02 

14.11 

22.96 

14.21 

27 

28 

24.00 

14.42 

23.94 

14.53 

23.  87 

14.63 

23.81 

14.73 

28 

29 

24.86 

14.  94  • 

24.79 

15.04 

24.73 

15.  15 

24.66 

15.26 

29 

30 

25.72 

15.45 

25.  65 

15.56 

25.58 

15.67 

25.51 

15.79 

30 

31 

20.  57 

15.97 

26.50 

16.08 

26.43 

16.20 

26.36 

16.  31 

31 

32 

27.  43 

16.  48 

27.36 

16.60 

27.28 

16.72 

27.21 

16.81 

32 

33 

28.29 

17.00 

28.21 

17.12 

28.14 

17.24 

28.06 

17.37 

33 

34 

29.14 

17.51 

29.07 

17.64 

28.99 

17.76 

28.91 

17.89 

34 

35 

30.00 

18.03 

29.92 

18.  16 

29.84 

18.29 

29.76 

18.42 

35 

36 

30.  86 

18.54 

30.78 

18.68 

30.70 

18.81 

30.  61 

18.  94 

36 

37 

31.72 

19.06 

31.63 

19.19 

31.55 

19.33 

31.46 

19.47 

37 

38 

32.57 

19.57 

32.49 

19.71 

32.40 

19.85 

32.31 

20.00 

38 

39 

33.  43 

20.09 

33.34 

20.23 

33.25 

20.38 

33.16 

20.52 

39 

40 

34.  29 

20.  60 

34.20 

20.75 

34.11 

20.90 

34.01 

21.05 

40 

41 

35.14 

21.12 

35.05 

21  27 

34.96 

21.42 

34.86 

21.57 

41 

42 

36.00 

21.63 

35.91 

21.79 

35.81 

21.94 

35.71 

22.10 

42 

43 

36.86 

22.15 

36.  76 

22.31 

36.  66 

22.47 

36.57 

22.  63 

43 

44 

37.72 

22.06 

37.  62 

22.83 

37.52 

22.99 

37.42 

23.15 

44 

45 

as.  57 

23.  18 

38.47 

23.34 

38.37 

23.  51 

38.27 

23.  68 

45 

46 

39.  43 

23.  G9 

39.33 

23.  86 

39.22 

24.03 

39.12 

24.21 

46 

47 

40.29 

24.21 

40.  18 

24.38 

40.07 

24.  56 

39.97 

24.73 

47 

48 

41.14 

24.72 

41.04 

24.90 

40.93 

25.08 

40.82 

25.26 

48 

49 

42.00 

25.  24 

41.89 

25.42 

41.78 

25.60 

41.  67 

25.78 

49 

50 

42.86 

25.75 

42.75 

25.94 

42.  63 

26.12 

42.52 

26.31 

50 

es 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

CS 

mt 
.22 

5 

59°. 

58%°. 

58^°. 

5SM°. 

I 

5 

TABLE  4. -TRAVERSE  TABLE. 


0 

31°. 

31H°. 

31^0 

3134o 

O 

• 

1 

sr 

I 

Lat. 

Dep.    !    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

I 

51 

43.72 

26.27 

43.60 

26.46 

43.48 

26.65 

43.37 

26.84 

51 

52 

44.57 

26.78 

44.46 

26.98 

44.34 

27.17 

44.22 

27.36 

52 

53 

45.43 

27.30 

45.31 

27.49 

45.19 

27.69 

45.  07 

27.89 

53 

54 

46.  29 

27.81 

46.17 

28.01 

46.04 

28.21 

45.92 

28.42 

54 

55 

47.14 

28.33 

47.02 

28.53 

46.90 

28.74 

46.  77 

28.94 

55 

56 

48.00 

28.84 

47.88 

29.  05 

47.75 

29.26 

47.62 

29.47 

56 

57 

48.86 

29.36 

48.73 

29.57 

48.60 

29.78 

48.47 

29.99 

57 

58 

49.72 

29.87 

49.58 

30.09 

49.45 

30.30 

49.32 

30.52 

58 

59 

50.57 

30.39 

50.44 

30.61 

50.31 

30.83 

50.17 

31.05 

59 

CO 

51.  43 

30.90 

51.29 

31.13 

51.16 

31.35 

51.02 

31.57 

60 

61 

52.29 

31.42 

52.15 

31.65 

52.01 

31.87 

51.87 

32.10 

61 

62 

53.14 

31.93 

53.00 

32.16 

52.86 

32.39 

52.  72 

32.  63 

62 

63 

54.00 

32.45 

53.  86 

32.  68 

53.72 

32.92 

53.57 

33.15 

63 

64 

54.86 

32.96 

54.71 

33.  20 

54.57 

33.44 

54.42 

33.  68 

64 

65 

55.72 

33.48 

55.57 

33.  72 

55.42 

33.  96 

55.27 

34.20 

65 

66 

56.57 

33.  99 

56.42 

34.24 

56.27 

34.48 

56.12 

34.73 

66 

67 

57.  43 

34.51 

57.28 

34.76 

57.13 

35.01 

56.98 

35.26 

67 

68 

58.29 

35.02 

58.13 

35.28 

57.98 

35.53 

57.82 

35.78 

68 

69 

59.14 

35.54 

58.99 

35.80 

58.83 

36.05 

58.67 

36.  31 

69 

70 

60.00 

36.05 

59.84 

36.31 

59.  68 

36.57 

59.52 

36.83 

70 

71 

60.  86 

36.57 

60.70 

36.83 

60.  54 

37.10 

60.38 

37.36 

71 

72 

61.72 

37.08 

61.55 

37.35 

61.39 

37.62 

61.23 

37.89 

72 

73 

62.  57 

37.60 

62.41 

37.87 

62.24 

38.14 

62.08 

38.41 

73 

74 

63.43 

38.11 

63.26 

38.39 

63.10 

38.66 

62.93 

38.94 

74 

75 

64.29 

38.  63 

64.12 

38.91 

63.95 

39.19 

63.78 

39.47 

75 

76 

65.14 

39.14 

64.97 

39.43 

64.  80 

39.71 

64.63 

39.99 

76 

77 

66.  00 

39.66 

65.83 

39.95 

65.65 

40.  23 

65.48 

40.52 

77 

78 

66.86 

40.17 

66.  68 

40.  46 

66.51 

40.75 

66.33 

41.04 

78 

79 

67.72 

40.69 

67.54 

40.98 

67.  36 

41.28 

67.18 

41.57 

79 

80 

68.57 

41.20 

68.39 

41.50 

68.21 

41.80 

68.03 

42.10 

80 

81 

69.43 

41.72 

69.25 

42.02 

69.  06 

42.32 

68.88 

42.62 

81 

82 

70.29 

42.23 

70.10 

42.54 

69.92 

42.84 

69.73 

43.15 

82 

83 

71.14 

42.75 

70.96 

43.  06 

70.77 

43.37 

70.58 

43.68 

83 

84 

72.00 

43.  26 

71.81 

43.58 

71.62 

43.89 

71.43 

44.20 

84 

85 

72.  86 

43.78 

72.  67 

44.10 

72.47 

44.41 

72.28 

44.73 

85 

86 

73.72 

44.29 

73.52 

44.61 

73.33 

44.93 

73.  13 

45.25 

'86 

87 

74.57 

44.81 

74.38 

45.13 

74.18 

45.  46 

73.98 

45.78 

87 

88 

75.43 

45.32 

75.23 

45.65 

75.03 

45.  98 

74.83 

46.31 

88 

89 

76.29 

45.84 

76.09 

46.17 

75.88 

46.50 

75.68 

46.  83 

89 

90 

77.15 

46.35 

76.  94 

46.69 

76.74 

47.02 

76.53 

47.36 

90 

91 

78.00 

46.87 

77.80 

47.21 

77.59 

47.55 

77.38 

47.89 

91 

92 

78.86 

47.  38 

78.65 

47.73 

78.44 

48.07 

78.23 

48.41 

92 

93 

79.72 

47.90 

79.51 

48.  25 

79.  30 

48.59 

79.08 

48.94 

93 

94 

80.  57 

48.41 

SO.  36 

48.76 

80.15 

49.11 

79.93 

49.47 

94 

95 

81.  43 

48.  93 

81.22 

49.28 

81.00 

49.  64 

80.78 

49.99 

95 

96 

82.29 

49.44 

82.07 

49.80 

81.85 

50.16 

81.63 

50.52 

96 

97 

83.15 

49.96 

82.93 

50.32 

82.71 

50.68 

82.  48 

51.04 

97 

98 

84.00 

50.47 

83.78 

50.84 

83.56 

51.20 

83.33 

51.57 

98 

99 

84.  86 

50.99 

84.  64 

51.36 

84.41 

51.73 

84.18 

52.10 

99 

100 

85.72 

51.50 

85.49 

51.88 

85.26 

52.25 

85.04 

52.62 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

03 

8 

59°. 

58%°. 

58^°. 

58^°. 

5 

71 


TABLE  1. -TRAVERSE  TABLE. 


B 

r 

32°. 

3214°. 

3214°. 

32%°.                g 

1 

5 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

i 

0.85 

0.53 

0.85 

0.53 

0.84 

0.54 

0.84 

0.54 

i 

2 

1.70 

1.06 

1.69 

1.07 

1.69 

1.07 

1.68 

1.08 

2 

3 

2.54 

1.59 

2.54 

1.60 

2.53 

1.61 

2.52 

1.62 

3 

4 

3.39 

2.12 

3.38 

2.13 

3.37 

2.15 

3.36 

2.16 

4 

5 

4.24 

2.65 

4.23 

2.67 

4.22 

2.69 

4.21 

2.70 

5 

6 

5.09 

3.18 

5.07 

3.20 

5.06 

3.22 

5.05 

3.25 

6 

7 

5.94 

3.71 

5.92 

3.74 

5.90 

3.76 

5.89 

3.79 

7 

8 

G.78 

4.24 

6.77 

4.27 

6.75 

4.30 

6.73 

4.33 

8 

9 

7.63 

4.77 

7.61 

4.80 

7.59 

4.84 

7.57 

4.87 

9 

10 

8.48 

5.30 

8.46 

5.34 

8.43 

5.37 

8.41 

5.41 

10 

11 

9.33 

5.83 

9.30 

5.87 

9.28 

5.91 

9.25 

5.95 

11 

12 

10.  18 

6.36 

10.15 

6.40 

10.  12 

6.45 

10.09 

6.49 

12 

13 

11.02 

6.89 

10.99 

6.94 

10.96 

6.98 

10.93 

7.03 

13 

14 

11.87 

7.42 

11.84 

7.47 

11.81 

7.52 

11.77 

7.57 

14 

15 

12.72 

7.95 

12.69 

8.00 

12.  65 

8.06 

12.62 

8.11 

15 

16 

13.57 

8.48 

13.53 

8.54 

13.49 

8.60 

13.46 

8.66 

16 

17 

14.42 

9.01 

14.38 

9.07 

14.34 

9.13 

14.  30 

9.20 

17 

18 

15.26 

9.54 

15.22 

9.61 

15.18 

9.67 

15.14 

9.74 

18 

19 

16.11 

10.07 

16.07 

10.14 

16.  02 

10.21 

15.98 

10.28 

19 

20 

16.96 

10.60 

16.91 

10.67 

16.87 

10.75 

16.82 

10.82 

20 

21 

17.81 

11.13 

17.76 

11.21 

17.71 

11.28 

17.66 

11.36 

21 

22 

18.66 

11.66 

18.61 

11.74 

18.55 

11.82 

18.50 

11.90 

22 

23 

19.51 

12.19 

19.45 

12.27 

19.40 

12.36 

19.34 

12.44 

23 

24 

20.  35 

12.72 

20.30 

12.81 

20.  24 

12.90 

20.18 

12.  98 

24 

25 

21.20 

13.25 

21.14 

13.34 

21.08 

13.  43 

21.03 

13.52 

25 

20 

22.05 

13.78 

21.99 

13.87 

21.93 

13.97 

21.87 

14.07 

26 

27 

22.90 

14.31 

22.83 

14.41 

22.77 

14.51 

22.71 

14.61 

27 

28 

23.75 

14.84 

23.68 

14.94 

23.61 

15.04 

23.55 

15.15 

28 

29 

24.59 

15.37 

24.53 

15.47 

24.  46 

15.58 

24.39 

15.69 

29 

30 

25.44 

15.90 

25.37 

16.01 

25.30 

16.12 

25.23 

16.23 

30 

31 

26.29 

16.43 

26.22 

16.54 

26.15 

16.66 

26.07 

16.77 

31 

32 

27.14 

16.96 

27.06 

17.08 

26.  99 

17.19 

26.91 

17.31 

32 

33 

27.99 

17.49 

27.91 

17.61 

27.83 

17.73 

27.75 

17.85 

33 

31 

28.83 

18.02 

28.75 

18.14 

28.68 

18.27 

28.60 

18.39 

34 

35 

29.68 

18.55 

29.60 

18.68 

29.  52 

18.81 

29.  44 

18.93 

35 

3(5 

30.53 

19.08 

30.45 

19.21 

30.  36 

19.34 

30.28 

19.  48 

36 

37 

31.  38 

19.61 

31.29 

19.74 

31.21 

19.  88 

31.12 

20.02 

37 

38 

32.  23 

20.14 

32.14 

20.28 

32.  05 

20.42 

31.96 

20.56 

38 

39 

33.07 

20.67 

32.98 

20.81 

32.89 

20.95 

32.80 

21.10 

39 

40 

33.92 

21.20 

33.83 

21.34 

33.74 

21.49 

33.64 

21.64 

40 

41 

34.77 

21.73 

34.67 

21.88 

34.58 

22.03 

34.48 

22.18 

41 

42 

35.62 

22.  26 

35.52 

22.41 

35.42 

22.  57 

35.  32 

22.  72 

42 

43 

36.47 

22.  79 

36.37 

22.95 

36.27 

23.10 

36.  16 

23.26 

43 

44 

37.31 

23.32 

37.21 

23.48 

37.11 

23.  64 

37.01 

23.80 

44 

45 

38.16 

23.85 

38.06 

24.01 

37.95 

24.18 

37.85 

24.  34 

45 

46 

39.01 

24.38 

38.90 

24.55 

38.80 

24.  72 

38.  69 

24.88 

46 

47 

39.86 

24.91 

39.75 

25.08 

39.64 

25.25 

39.53 

25.  43 

47 

48 

40.71 

25.44 

40.59 

25.61 

40.48 

25.79 

40.37 

25.97 

48 

49 

41.55 

25.97 

41.44 

26.15 

41.33 

26.  33 

41.21 

26.  51 

49 

50 

42.40 

26.50 

42.29 

26.68 

42.17 

26.86 

42.05 

27.05 

50 

I 

• 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

3 
ft 

58°. 

57%°. 

£>7y2°. 

57M°- 

ft 

72 


TABLE  4. -TRAVERSE  TABLE. 


U 
I 

32°. 

«OT 

32M-. 

32%°.                d 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

43.25 

27.03 

43.13 

27.21 

43.01 

27.40 

42.89 

27.59 

51 

52 

44.10 

27.56 

43.98 

27.75 

43.86 

27.94 

43.73 

28.13 

52 

53 

44.95 

28.09 

44.82 

28.28 

44.70 

28.48 

44.58 

28.67 

53 

54 

45.  79 

28.  62 

45.  67 

28.82 

45.54 

29.01 

45.  42 

29.  21 

54 

55 

46.  64 

29.15 

46.  52 

29.35 

46.  39 

29.55 

46.26 

29.  75 

55 

56 

47.49 

29.  68 

47.36 

29.88 

47.23 

30.  09 

47.10 

30.29 

56 

57 

48.34 

30.21 

48.21 

30.42 

48.07 

30.63 

47.94 

30.84 

57 

58 

49.  19 

30.74 

49.  05 

30.95 

48.92 

31.  16 

48.78 

31.38 

58 

59 

50.03 

31.27 

49.90 

31.48 

49.76 

31.70 

49.62 

31.92 

59 

60 

50.88 

31.80 

50.74 

32.02 

50.60 

32.24 

50.46 

32.46 

60 

61 

51.73 

32.  33 

51.59 

32.55 

51.45 

32.78 

51.30 

33.00 

61 

62 

52.58 

32.85 

52.44 

33.08 

52.29 

33.31 

52.14 

33.54 

62 

63 

53.43 

33.38 

53.28 

33.  62 

53.13 

33.85 

52.99 

34.08 

63 

64 

54.28 

33.91 

54.13 

34.15 

53.98 

34.  39 

53.83 

34.  62 

64 

65 

55.  12 

34.44 

54.97 

34.68 

54.  82 

34.92 

54.67 

35.16 

65 

66 

55.  97 

34.97 

55.82 

35.22 

55.  66 

35.  46 

55.51 

35.70 

66 

67 

56.  82 

35.  50 

56.  66 

35.75 

56.  51 

36.  00 

56.  35 

36.  25 

67 

68 

57.  67 

36.  03 

57.51 

36.29 

57.  35 

36.54 

57.19 

36.  79 

68 

69 

58.52 

36.  56 

58.36 

36.82 

58.19 

37.07 

58.03 

37.  33 

69 

70 

59.36 

37.09 

59.20 

37.35 

59.  04 

37.61 

58.87 

37.87 

70 

71 

60.21 

37.62 

60.05 

37.89 

59.88 

38.  15 

59.71 

38.41 

71 

72 

61.06 

38.  15 

60.  89 

38.42 

60.  72 

38.  69 

60.  55 

38.95 

72 

73 

61.91 

38.68 

61.74 

38.95 

61.57 

39.22 

61.40 

39.49 

73 

74 

62.  76 

39.  21 

62.58 

39.  49 

62.41 

39.  76 

62.24 

40.03 

74 

75 

63.60 

39.74 

63.43 

40.02 

as.  25 

40.  30 

63.08 

40.57 

75 

76 

64.  45 

40.27 

64.28 

40.55 

64.10 

40.83 

63.92 

41.11 

76 

77 

65.30 

40.80 

65.  12 

41.09 

64.94 

41.  37 

64.76 

41.66 

77 

78 

66.15 

41.33 

65.97 

41.62 

65.78 

41.91 

65.  60 

42.20 

78 

79 

67.  00 

41.86 

66.81 

42.  16 

66.  63 

42.45 

66.  44 

42.74 

79 

80 

67.84 

42.39 

67.  66 

42.69 

67.47 

42.98 

67.28 

43.28 

80 

81 

68.69 

42.92 

68.50 

43.22 

68.31 

43.  52 

68.12 

43.82 

81 

82 

69.  54 

43.  45 

69.35 

43.76 

69.  16 

44.  06 

68.97 

44.36 

82 

83 

70.39 

43.98 

70.20 

44.29 

70.00 

44.  60 

69.  81 

44.90 

83 

84 

71.24 

44.51 

71.04 

44.82 

70.84 

45.13 

70.  65 

45.44 

84 

85 

72.08 

45.04 

71.89 

45.36 

71.69 

45.67 

71.49 

45.  98 

85 

86 

72.  93 

45.57 

72.73 

45.89 

72.53 

46.21 

72.33 

46.  52 

86 

87 

73.78 

46.10 

73.58 

46.  42 

73.38 

46.  75 

73.  17 

47.06 

87 

88 

74.  63 

46.  63 

74.42 

46.96 

74.22 

47.28 

74.01 

47.61 

88 

89 

75.48 

47.  16 

75.27 

47.49 

75.  06 

47.82 

74.85 

48.15 

89 

90 

76.32 

47.69 

76.12 

48.03 

75.91 

48.  36 

75.69 

48.69 

90 

91 

77.17 

48.22 

76.  96 

48.56 

76.75 

48.89 

76.  53 

49.23 

91 

92 

78.02 

48.75 

77.81 

49.09 

77.59 

49.43 

77.38 

49.77 

92 

93 

78.87 

49.28 

78.65 

49.  63 

78.44 

49.97 

78.  22 

50.  31 

93 

94 

79.  72 

49.81 

79.50 

50.16 

79.28 

50.51 

79.06 

50.  85 

94 

95 

80.  50 

50.34 

80.34 

50.69 

80.12 

51.04 

79.90 

51.39 

95 

96 

81.41 

60.87 

81.19 

51.23 

80.97 

51.58 

80.74 

51.93 

96 

97 

82.  26 

51.40 

82.04 

51.76 

81.81 

52.  12 

81.58 

52.47 

97 

98 

83.11 

51.93 

82.88 

52.29 

82.  65 

52.  66 

82.  42 

53.02 

98 

99 

83.  96 

52.  46 

83.  73 

52.83 

83.50 

53.19 

83.26 

53.  56 

99 

100 

84.80 

52.99 

84.57 

53.36 

84.34 

53.73 

84.10 

54.10 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

1 

Q 

5S°. 

57^°. 

57H-. 

«•• 

73 


TABLE  4.— TRAVERSE  TABLE. 


o 

33°. 

33M°- 

33^°. 

33%°. 

H 

g. 

I 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.84 

0.54 

0.84 

0.55 

0.83 

0.55 

0.83 

0.56 

1 

2 

1.68 

1.09 

1.67 

1.10 

1.67 

1.10 

1.66 

1.11 

2 

3 

2.52 

1.63 

2.51 

1.64 

2.50 

1.66 

2.49 

1.67 

3 

4 

3.35 

2.18 

3.35 

2.19 

3.34 

2.21 

3.33 

2.22 

4 

5 

4.19 

2.72 

4.18 

2.74 

4.17 

2.76 

4.16 

2.78 

1 

6 

5.03 

3.27 

5.02 

3.29 

5.00 

3.31 

4.99 

3.33 

6 

7 

5.87 

3.81 

5.85 

3.84 

5.84 

3.86 

5.82 

3.89 

7 

8 

6.71 

4.36 

6.69 

4.39 

6.67 

4.42 

6.65 

4.44 

8 

9 

7.55 

4.90 

7.53 

4.93 

7.  .50 

4.97 

7.48 

5.00 

9 

10 

8.39 

5.45 

8.36 

5.48 

8.34 

5.52 

8.31 

5.56 

10 

11 

9.23 

5.99 

9.20 

6.03 

9.17 

6.07 

9.15 

6.11 

11 

:2 

10.06 

6.54 

10.04 

6.58 

10.01 

6.62 

9.98 

6.67 

12 

13 

10.90 

7.08 

10.87 

7.13 

10.84 

7.18 

10.81 

7.22 

13 

14 

11.74 

7.62 

11.71 

7.68 

11.67 

7.73 

11.64 

7.78 

14 

15 

12.58 

8.17 

12.54 

8.22 

12.51 

8.28 

12.47 

8.33 

15 

16 

13.42 

8.71 

13.38 

8.77 

13.34 

8.83 

13.30 

8.89 

16 

17 

14.26 

9.26 

14.22 

9.32 

14.18 

9.38 

14.13 

9.44 

17 

18 

15.10 

9.80 

15.05 

9.87 

15.01 

9.93 

14.97 

10.00 

18 

19 

15.93 

10.35 

15.89 

10.42 

15.84 

10.49 

15.80 

10.  56 

19 

20 

16.77 

10.89 

16.73 

10.97 

16.68 

11.04 

16.63 

11.11 

20 

21 

17.61 

11.44 

17.  56 

11.51 

17.51 

11.59 

17.  46 

1  1  .  67 

21 

22 

18.45 

11.98 

18.40 

12.06 

18.35 

12.14 

18.29 

12.22 

22 

23 

19.29 

12.53 

19.  23 

12.61 

19.18 

12.69 

19.12 

12.78 

23 

24 

20.13 

13.07 

20.07 

13.16 

20.  01 

13.25 

19.96 

13.33 

24 

25 

20.97 

13.62 

20.91 

13.71 

20.  85 

13.  80 

20.79 

13.  89 

25 

26 

21.81 

14.  16 

21.74 

14.  26 

21.68 

14.35 

21.62 

14.44 

26 

27 

22.64 

14.71 

22.58 

14.80 

22.51 

14.90 

22.45 

15.00 

27 

28 

23.48 

15.25 

23.42 

15.35 

23.  35 

15.45 

23.  28 

15.56 

28 

29 

24.32 

15.79 

24.25 

15.90 

24.18 

16.01 

24.11 

16.11 

29 

30 

25.16 

16.34 

25.09 

16.45 

25.02 

16.56 

24.94 

16.67 

30 

31 

26.00 

16.88 

25.92 

17.00 

25.  85 

17.11 

25.78 

17.22 

31 

32 

26.  84 

17.43 

26.  76 

17.55 

26.68 

17.  66 

26.  61 

17.78 

32 

33 

27.  68 

17.97 

27.60 

18.09 

27.52 

18.21 

27.44 

18.33 

33 

34 

28.51 

18.52 

28.43 

18.64 

28.  35 

18.77 

28.27 

18.89 

34 

35 

29.35 

19.06 

29.  27 

19.19 

29.19 

19.  32 

29.  10 

19.44 

35 

36 

30.19 

19.61 

30.  1  1 

19.74 

30.02 

19.87 

29.93 

20.00 

36 

37 

31.03 

20.15 

30.94 

20.29 

30.  85 

20.42 

30.  76 

20.56 

37 

38 

31.87 

20.70 

31.78 

20.84 

31.69 

20.  97 

31.60 

21.11 

38 

39 

32.71 

21.24 

32.  62 

21.38 

32.52 

21.53 

32.43 

21.67 

39 

40 

33.55 

21.79 

33.45 

21.93 

33.36 

22.08 

33.26 

22.22 

40 

41 

34.39 

22.  33 

34.  29 

22.48 

34.19 

22.63 

34.09 

22.  78 

41 

42 

35.22 

22.87 

35.12 

23.03 

35.02 

23.18 

34.92 

23.33 

42 

43 

36.06 

23.42 

35.  96 

23.58 

35.86 

23.  73 

35.75 

23.  89 

43 

44 

36.90 

23.  96 

36.80 

24.12 

36.  69 

24.29 

36.58 

24.  45 

44 

45 

37.74 

24.51 

37.  63 

24.67 

37.52 

24.  84 

37.42 

25.00 

45 

46 

38.58 

25.05 

38.47 

25.  22 

38.  36 

25.39 

38.25 

25.  56 

46 

47 

39.42 

25.60 

39.31 

25.  77 

39.19 

25.94 

39.  08 

26.  11 

47 

48 

40.  26 

26.14 

40.14 

26.  32 

40.03 

26.49 

39.  91 

26.67 

48 

49 

41.09 

26.  69 

40.98 

26.87 

40.  86 

27.04 

40.74 

27.22 

49 

50 

41.93 

27.23 

41.81 

27.41 

41.69 

27.60 

41.57 

27.78 

50 

<o 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

ia 
q 

57°. 

w« 

56^°. 

56M°. 

P 

74 


TABLE  4.— TRAVERSE  TABLE. 


0 

33°. 

33M°. 

33^°. 

33%°. 

O 
* 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

42.77 

27.78 

42.65 

27.96 

42.53 

28.15 

42.40 

28.33 

51 

52 

43.  61 

28.32 

43.40 

28.51 

43.  36 

28.70 

43.24 

28.89 

52 

53 

44.45 

28.  87 

44.32 

29.06 

44.20 

29.25 

44.07 

29.45 

53 

54 

45.29 

29.41 

45.  16 

29.  61 

45.03 

29.80 

44.90 

30.00 

54 

55 

0.13 

29.96 

46.00 

30.16 

45.  86 

30.36 

45.73 

30.56 

55 

56 

46.97 

30.50 

46.83 

30.70 

46.70 

30.91 

46.56 

31.11 

56 

57 

47.80 

31.04 

47.  67 

31.25 

47.53 

31.46 

47.39 

31.67 

57 

58 

48.64 

31.59 

48.50 

31.80 

48.37 

32.01 

48.23 

32.22 

58 

59 

49.48 

32.13 

49.34 

32.35 

49.20 

32.56 

49.06 

32.78 

59 

60 

50.32 

32.68 

50.18 

32.90 

50.03 

33.12 

49.89 

33.33 

60 

61 

51.16 

33.  22 

51.01 

33.45 

50.87 

33.67 

50.72 

33.89 

61 

62 

52.00 

33.  77 

51.85 

33.99 

51.70 

34.22 

51.55 

34.  45 

62 

03 

52.84 

34.  31 

52.69 

34.54 

52.53 

34.77 

52.38 

35.00 

63 

C4 

53.67 

34.  86 

53.52 

35.09 

53.37 

35.32 

53.21 

35.  56 

64 

65 

54.51 

35.  40 

54.36 

35.64 

54.20 

35.88 

54.05 

36.11 

65 

66 

55.  35 

35.95 

55.  19 

36.  19 

55.04 

36.  43 

54.88 

36.67 

66 

67 

56.19 

36.49 

56.  03 

36.74 

55.87 

36.98 

55.71 

37.22 

67 

(•S 

57.03 

37.  04 

56.87 

37.28 

56.70 

37.53 

56.54 

37.78 

68 

69 

57.87 

37.58 

57.70 

37.83 

57.54 

38.08 

57.37 

38.  33 

69 

70 

58.71 

38.12 

58.54 

38.38 

58.37 

38.64 

58.20 

38.89 

70 

71 

59.55 

38.67 

59.38 

38.93 

59.21 

39.19 

59.03 

39.45 

71 

72 

60.38 

39.21 

60.21 

39.48 

60.04 

39.  74 

59.87 

40.00 

72 

73 

61.22 

39.76 

61.05 

40.  03 

60.87 

40.29 

60.70 

40.56 

73 

74 

62.06 

40.30 

61.89 

40.57 

61.71 

40.84 

61.53 

41.11 

74 

75 

62.90 

40.85 

62.  72 

41.12 

62.54 

41.40 

62.  36 

41.67 

75 

76 

63.74 

41.39 

63.56 

41.67 

63.38 

41.95 

63.19 

42.22 

76 

77 

64.  58 

41.94 

64.39 

42.22 

64.21 

42.50 

64.  02 

42.78 

77 

78 

65.42 

42.  48 

65.23 

42.77 

65.04 

43.05 

64.85 

43.33 

78 

79 

66.  25 

43.03 

66.07 

43.32 

65.88 

43.60 

65.09 

43.89 

79 

80 

67.09 

43.57 

66.90 

43.86 

66.71 

44.15 

66.52 

44.45 

80 

81 

67.93 

44.12 

67.74 

44.41 

67.54 

44.71 

67.35 

45.00 

81 

82 

68.  77 

44.66 

68.58 

44.96 

68.38 

45.26 

68.18 

45.56 

82 

83 

69.  61 

45.21 

69.41 

45.  51 

69.21 

45.81 

69.01 

46.11 

83 

84 

70.45 

45.  75 

70.25 

46.  06 

70.  05 

46.  36 

69.84 

46.67 

84 

85 

71.29 

46.  29 

71.08 

46.  60 

70.88 

46.  91 

70.  67 

47.22 

85 

86 

72.13 

46.84 

71.92 

47.15 

71.71 

47.47 

71.51 

47.78 

86 

87 

72.  96 

47.  38 

72.  76 

47.  70 

72.  55 

48.02 

72.34 

48.33 

87 

88 

73.  80 

47.93 

73.  59 

48.25 

73.  38 

48.57 

73.17 

48.89 

88 

89 

74.  64 

48.47 

74.43 

48.80 

74.22 

49.  12 

74.00 

49.45 

89 

90 

75.48 

49.02 

75.27 

49.35 

75.05 

49.  67 

74.83 

50.00 

90 

91 

76.  32 

49.  56 

76.10 

49.89 

75.88 

50.23 

75.66 

50.56 

91 

92 

77.16 

50.11 

76.  94 

50.44 

76.72 

50.78 

76.50 

51.11 

92 

93 

78.00 

50.  C;5 

77.  77 

50.99 

77.  55 

51.33 

77.  33 

51.67 

93 

94 

78.84 

51.20 

78.  61 

51.54 

78.  39 

51.88 

78.16 

52.22 

94 

95 

79.  67 

51.74 

79.45 

52.09 

79.  22 

52.43 

78.99 

52.78 

95 

66 

80.51 

52.29 

80.28 

52.64 

80.05 

52.99 

79.82 

53.  33 

96 

97 

81.35 

52.  83 

81.12 

53.18 

80.89 

53.54 

80.65 

53.89 

97 

98 

82.19 

53.37 

81.96 

53.73 

81.72 

54.  09 

81.48 

54.45 

98 

99 

83.03 

53.92 

82.79 

54.28 

82.55 

54.  64 

82.32 

55.00 

99 

100 

83.87 

54.46 

83.63 

54.83 

83.39 

55.19 

83.15 

55.  56 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

o 

D 

(3 

£ 

5 

57°. 

*» 

56^°. 

m* 

1 
Q 

75 


TABLE  4.— TRAVERSE  TABLE. 


d 

34°. 

34M°. 

34M°. 

34%°. 

b 

E 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.        1 

1 

0.83 

0.56 

0.83 

0.56 

0.82 

0.57 

0.82 

0.57 

1 

2 

1.66 

1.12 

1.65 

1.13 

1.65 

1.13 

1.64 

1.14 

2 

3 

2.49 

1.68 

2.48 

1.69 

2.47 

1.70 

2.46 

1.71 

3 

4 

3.32 

2.24 

3.31 

2.25 

3.30 

2.27 

3.29 

2.28 

4 

5 

4.15 

2.80 

4.13 

2.81 

4.12 

2.83 

4.11 

2.85 

5 

6 

4.97 

3.36 

4.96 

3.38 

4.94 

3.40 

4.93 

3.42 

6 

7 

5.80 

3.91 

5.79 

3.94 

5.77 

3.96 

5.75 

3.99 

7 

8 

6.63 

4.47 

6.61 

4.50 

6.59 

4.53 

6.57 

4.  56 

8 

9 

7.46 

5.03 

7.44 

5.07 

7.42 

5.10 

7.39 

5.13 

9 

10 

8.29 

5.59 

8.27 

5.63 

8.24 

5.66 

8.22 

5.70 

10 

11 

9.12 

6.15 

9.09 

6.19 

9.07 

6.23 

9.04 

6.27 

11 

12 

9.95 

6.71 

9.92 

6.75 

9.89 

6.80 

9.86 

6.84 

12 

13 

10.78 

7.27 

10.75 

7.32 

10.71 

7.36 

10.68 

7.41 

13 

14 

11.61 

7.83 

11.57 

7.88 

11.54 

7.93 

11.50 

7.98 

14 

15 

12.44 

8.39 

12.40 

8.44 

12.36 

8.50 

12.32 

8.55 

15 

16 

13.  26 

8.95 

13.  23 

9.00 

13.19 

9.06 

13.15 

9.12 

16 

17 

14.09 

9.51 

14.05 

9.57 

14.01 

9.63 

13.97 

9.69 

17 

18 

14.92 

10.07 

14.88 

10.  13 

14.83 

10.20 

14.79 

10.26 

18 

19 

15.75 

10.62 

15.71 

10.69 

15.66 

10.76 

15.61 

10.83 

19 

20 

16.58 

11.18 

16.53 

11.26 

16.48 

11.33 

16.43 

11.40 

20 

21 

17.41 

11.74 

17.36 

11.82 

17.31 

11.89 

17.  25 

11.97 

21 

22 

18.24 

12.30 

18.18 

12.38 

18.  13 

12.46 

18.08 

12.  54 

22 

23 

19.07 

12.86 

19.01 

12.94 

18.95 

13.03 

18.90 

13.11 

23 

24 

19.90 

13.  42 

19.84 

13.51 

19.78 

13.  59 

19.72 

13.  68 

24 

25 

20.73 

13.98 

20.  66 

14.07 

20.60 

14.16 

20.54 

14.  25 

25 

26 

21.55 

14.54 

21.49 

14.  63 

21.43 

14.73 

21.36 

14.  82 

26 

27 

22.38 

15.10 

22.32 

15.20 

22.  25 

15.  29 

22.18 

15.  39 

27 

28 

23.21 

15.  66 

23.14 

15.76 

23.08 

15.  86 

23.01 

15.96 

28 

29 

24.04 

16.22 

23.97 

16.  32 

23.90 

16.43 

23.83 

16.53 

29 

30 

24.87 

16.78 

24.80 

16.88 

24.72 

16.99 

24.65 

17.10 

30 

31 

25.70 

17.33 

25.62 

17.45 

25.55 

17.56 

25.47 

17.67 

31 

32 

26.53 

17.89 

26.45 

18.01 

26.37 

18.12 

26.29 

18.24 

32 

33 

27.36 

18.45 

27.28 

18.57 

27.20 

18.  69 

27.11 

18.81 

33 

34 

28.19 

19.01 

28.10 

19.14 

28.02 

19.26 

27.  94 

19.38 

34 

35 

29.02 

19.57 

28.  93 

19.70 

28.84 

19.82 

28.76 

19.  95 

35 

36 

29.85 

20.13 

29.76 

20.26 

29.  67 

20.  39 

29.58 

20.  52 

36 

37 

30.  67 

20.  69 

30.58 

20.82 

30.  49 

20.  96 

30.40 

21.09 

37 

38 

31.50 

21.25 

31.41 

21.39 

31.32 

21.52 

31.22 

21.66 

38 

39 

32.33 

21.81 

32.24 

21.95 

32.14 

22.09 

32.04 

22.  23 

39 

40 

33.16 

22.37 

33.06 

22.51 

32.97 

22.66 

32.87 

22.80 

40 

41 

33.99 

22.93 

33.89 

23.08 

33.79 

23.22 

33.  69 

23.37 

41 

42 

34.82 

23.49 

34.72 

23.  64 

34.61 

23.79 

34.51 

23.  94 

42 

43 

35.  65 

24.05 

35.  54 

24.20 

35.44 

24.36 

35.  33 

24.51 

43 

44 

36.48 

24.60 

36.  37 

24.76 

36.26 

24.92 

36.15 

25.  08 

44 

45 

37.31 

25.  16 

37.20 

25.33 

37.09 

25.49 

36.  97 

25.  65 

45 

46 

38.14 

25.  72 

38.02 

25.  89 

37.91 

26.05 

37.80 

26.  22 

46 

47 

38.  96 

26.28 

38.85 

26.45 

38.73 

26.  62 

38.  62 

26.79 

47 

48 

39.79 

26.84 

39.68 

27.01 

39.56 

27.19 

39.44 

27.36 

48 

49 

40.  62 

27.40 

40.50 

27.  58 

40.38 

27.  75 

40.26 

27.  93 

49 

50 

41.45 

27.96 

41.33 

28.14 

41.21 

28.32 

41.08 

28.50 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

5 

56°. 

55%°. 

55^°. 

55M°- 

i 

76 


TABLE  4. -TRAVERSE  TABLE. 


0 

34°. 

34M°. 

34^°. 

34%°. 

0 

w 

£ 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

42.28 

28.52 

42.16 

28.70 

42.03 

28.89 

41.90 

29.07 

51 

52 

43.11 

29.08 

42.98 

29.27 

42.85 

29.45 

42.  73 

29.64 

52 

53 

43.94 

29.  64 

43.81 

29.83 

43.  68 

30.  02 

43.55 

30.21 

53 

54 

44.77 

30.20 

44.64 

30.39 

44.50 

30.59 

44.37 

30.78 

54 

55 

45.  60 

30.76 

45.46 

30.95 

45.33 

31.15 

45.19 

31.35 

55 

56 

46.43 

31.31 

46.29 

31.52 

46.15 

31.72 

46.01 

31.92 

56 

57 

47.26 

31.87 

47.12 

32.08 

46.98 

32.29 

46.  83 

32.49 

57 

58 

48.08 

32.  43 

47.94 

32.  64 

47.80 

32.85 

47.  66 

33.06 

58 

59 

48.91 

32.99 

48.77 

33.  21 

48.62 

33.42 

48.48 

33.  03 

59 

GO 

49.74 

33.55 

49.  CO 

33.77 

49.45 

33.98 

49.30 

34.20 

60 

61 

50.57 

34.11 

50.42 

34.33 

50.27 

34.55 

50.12 

34.77 

61 

62 

51.40 

34.67 

51.25 

34.89 

51.10 

35.12 

50.94 

35.34 

62 

63 

52.  23 

35.23 

52.08 

35.  46 

51.92 

35.68 

51.76 

35.91 

63 

64 

53.  06 

35.79 

52.90 

36.02 

52.74 

36.25 

52.59 

36.48 

64 

65 

53.89 

36.35 

53.73 

36.58 

53.57 

36.  82 

53.41 

37.05 

65 

66 

54.72 

36.91 

54.55 

37.15 

54.39 

37.38 

54.  23 

37.62 

66 

67 

55.55 

37.47 

55.  38 

37.71 

55.22 

37.95 

55.05 

38.19 

67 

68 

56.  37 

38.03 

56.21 

38.27 

56.04 

38.52 

55.87 

38.  76 

68 

69 

57.20 

38.58 

57.03 

38.83 

56.86 

39.08 

56.69 

39.33 

69 

70 

58.03 

39.14 

57.86 

39.40 

57.69 

39.65 

57.52 

39.90 

70 

71 

58.86 

39.70 

58.69 

39.96 

58.51 

40.21 

58.34 

40.47 

71 

72 

59.  69 

40.26 

59.51 

40.52 

59.34 

40.78 

59.16 

41.04 

72 

73 

60.52 

40.82 

60.34 

41.08 

60.  16 

41.35 

59.98 

41.  61 

73 

74 

61.35 

41.38 

61.  17 

41.65 

60.99 

41.91 

60.80 

42.18 

74 

75 

62.18 

41.94 

61.99 

42.21 

61.81 

42.48 

61.  62 

42.75 

75 

76 

63.01 

42.50 

62.82 

42.77 

62.63 

43.05 

62.45 

43.32 

76 

77 

63.84 

43.06 

63.65 

43.34 

63.46 

43.61 

63.27 

43.  89 

77 

78 

04.  06 

43.62 

64.47 

43.90 

64.28 

44.18 

64.09 

44.46 

78 

79 

65.  49 

44.18 

65.  30 

44.46 

65.11 

44.75 

64.91 

45.  03 

79 

80 

66.32 

44.74 

66.13 

45.02 

65.93 

45.31 

65.73 

45.60 

80 

81 

67.  15 

45.29 

66.95 

45.59 

66.75 

45.88 

66.55 

46.17 

81 

82 

67.98 

45.85 

67.78 

46.15 

67.58 

46.45 

67.38 

46.74 

82 

83 

68.81 

46.41 

68.61 

46.71 

68.40 

47.01 

68.20 

47.  31 

83 

84 

69.64 

46.97 

69.43 

47.28 

69.23 

47.58 

69.02 

47.88 

84 

85 

70.47 

47.53 

70.26 

47.84 

70.05 

48.14 

69.84 

48.45 

85 

86 

71.30 

48.09 

71.09 

48.  40 

70.87 

48.71 

70.66 

49.02 

86 

87 

72.13 

48.65 

71.91 

48.96 

71.70 

49.28 

71.48 

49.59 

87 

88 

72.96 

49.21 

72.74 

49.53 

72.52 

49.84 

72.30 

50.16 

88 

89 

73.78 

49.77 

73.57 

50.09 

73.35 

50.41 

73.13 

50.73 

89 

90 

74.61 

50.33 

74.39 

50.65 

74.17 

50.98 

73.95 

51.30 

90 

91 

75.44 

50.89 

75.22 

51.22 

75.00 

51.54 

74.77 

51.87 

91 

92 

76.27 

51.45 

76.05 

51.78 

75.82 

52.11 

75.59 

52.  44 

92 

93 

77.10 

52.00 

76.87 

52.34 

76.64 

52.68 

76.41 

53.01 

93 

94 

77.93 

52.56 

77.70 

52.90 

77.47 

53.24 

77.23 

53.58 

94 

95 

78.  76 

53.12 

78.53 

53.47 

78.29 

53.81 

78.06 

54.15 

95 

96 

79.59 

53.68 

79.35 

54.  03 

79.12 

54.87 

78.88 

54.72 

96 

97 

80.42 

54.24 

80.18 

54.59 

79.94 

54.94 

79.70 

55.29 

97 

98 

81.25 

54.  80 

81.01 

55.15 

80.76 

55.51 

80.52 

55.86 

98 

99 

82.07 

55.  30 

81.83 

55.72 

81.59 

56.07 

81.34 

56.43 

99 

100 

82.90 

55.92 

82.66 

56.28 

82.41 

56.64 

82.16 

57.00 

100 

d 

g 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

I 

3 

| 

56°. 

55^°. 

55^°. 

55K°. 

5 

77 


TABLE  4.— TRAVERSE  TABLE. 


1 

35 

35J 

r. 

35} 

fc 

35? 

!** 

b 

• 

g* 

§ 

p 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

o 

n 

1 

0.82 

0.57 

0.82 

0.58 

0.81 

0.58 

0.81 

0.58 

1 

2 

1.G4 

1.15 

1.63 

1.15 

1.63 

1.16 

1.62 

1.17 

2 

3 

2.46 

1.72 

2.45 

1.73 

2.44 

1.74 

2.43 

1.75 

3 

4 

3.28 

2.29 

3.27 

2.31 

3.26 

2.32 

3.25 

2.34 

4 

5 

4.10 

2.87 

4.08 

2.89 

4.07 

2.90 

4.  00 

2.92 

5 

6 

4.91 

3.44 

4.90 

3.46 

4.88 

3.48 

4.87 

3.51 

6 

7 

5.73 

4.02 

5.72 

4.04 

5.70 

4.06 

5.68 

4.09 

7 

8 

6.55 

4.59 

6.53 

4.62 

6.51 

4.65 

6.49 

4.  (17 

8 

9 

7.37 

5.16 

7.35 

5.19 

7.33 

5.23 

7.30 

5.  26 

9 

10 

8.19 

5.74 

8.17 

5.77 

8.14 

5.81 

8.12 

5.84 

10 

11 

9.01 

6.31 

8.98 

6.35 

8.96 

6.39 

8.93 

6.43 

11 

12 

9.83 

6.88 

9.80 

6.93 

9.77 

6.97 

9.74 

7.01 

12 

13 

10.65 

7.46 

10.62 

7.50 

10.58 

7.55 

10.55 

7.60 

13 

14 

11.47 

8.03 

11.43 

8.08 

11.40 

8.13 

11.36 

8.18 

14 

15 

12.  29 

8.60 

12.25 

8.66 

12.21 

8.71 

12.17 

8.76 

15 

16 

13.11 

9.18 

13.07 

9.23 

13.03 

9.29 

12.  99 

9.35 

16 

17 

13.  93 

9.75 

13.88 

9.81 

13.84 

9.87 

13.  80 

9.93 

17 

18 

14.74 

10.32 

14.70 

10.39 

14.  65 

10.45 

14.61 

10.52 

18 

19 

15.56 

10.90 

15.52 

10.97 

15.47 

11.03 

15.  42 

11.10 

19 

20 

16.38 

11.47 

16.33 

11.54 

16.28 

11.61 

16.23 

11.68 

20 

21 

17.20 

12.05 

17.15 

12.12 

17.10 

12.19 

17.04 

12.27 

21 

22 

18.02 

12.62 

17.  97 

12.70 

17.91 

12.78 

17.85 

12.85 

22 

23 

18.84 

13.19 

18.78 

13.27 

18.72 

13.36 

18.  67 

13.  44 

23 

24 

19.66 

13.  77 

19.60 

13.85 

19.54 

13.94 

19.  48 

14.02 

24 

25 

20.48 

14.34 

20.42 

14.43 

20.35 

14.52 

20.  29 

14.61 

25 

36 

21.30 

14.91 

21.23 

15.01 

21.  17 

15.10 

21.10 

15.19 

26 

27 

22.12 

15.49 

22.05 

15.68 

21.98 

15.  68 

21.  91 

15.77 

27 

28 

22.94 

16.  06 

22.87 

16.16 

22.80 

16.  26 

22.72 

16.36 

28 

29 

23.76 

16.63 

23.68 

16.74 

23.61 

16.84 

23.54 

16.94 

29 

30 

24.57 

17.21 

24.50 

17.31 

24.42 

17.42 

24.  35 

17.53 

30 

31 

25.39 

17.78 

25.32 

17.89 

25.24 

18.00 

25.16 

18.11 

31 

32 

26.21 

18.35 

26.13 

18.47 

26.05 

18.58 

25.97 

18.70 

32 

33 

27.03 

18.  93 

26.95 

19.05 

26.87 

19.16 

26.78 

19.  28 

33 

34 

27.85 

19.50 

27.77 

19.62 

27.68 

19.74 

27.59 

19.80 

34 

35 

28.67 

20.08 

28.58 

20.20 

28.49 

20.32 

28.41 

20.45 

35 

3G 

29.49 

20.65 

29.40 

20.78 

29.31 

20.91 

29.22 

21.03 

36 

37 

30.31 

21.22 

30.22 

21.35 

30.12 

21.49 

30.  03 

21.  1)2 

37 

38 

31.13 

21.80 

31.03 

21.93 

30.94 

22.07 

30.  84 

22.20 

38 

39 

31.95 

22.37 

31.85 

22.51 

31.75 

22.65 

31.  65 

22.  79 

39 

40 

32.77 

22.94 

32.67 

23.09 

32.56 

23.23 

32.46 

23.37 

40 

41 

33.59 

23.52 

33.48 

23.  G6 

33.38 

23.81 

33.27 

23.95 

41 

42 

34.40 

24.09 

34.30 

24.24 

34.19 

24.  39 

34.09 

24.  54 

42 

43 

35.22 

24.66 

35.12 

24.82 

35.01 

24.97 

34.90 

25.12 

43 

44 

36.04 

25.24 

35.93 

25.39 

35.82 

25.55 

35.71 

25.71 

44 

45 

36.86 

25.81 

36.75 

25.97 

36.64 

26.13 

36.52 

26.  29 

45 

413 

37.68 

26.  38 

37.57 

26.55 

37.45 

26.  71 

37.33 

26.88 

46 

47 

38.50 

26.96 

38.38 

27.13 

38.26 

27.29 

38.14 

27.  46 

47 

48 

39.32 

27.53 

39.20 

27.70 

39.08 

27.87 

38.90 

28.  04 

48 

49 

40.14 

28.11 

40.02 

28.28 

39.89 

28.45 

39.77 

28.  63 

49 

50 

40.96 

28.68 

40.83 

28.86 

40.71 

29.04 

40.58 

29.21 

50 

s 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

s 

a 

5 

5 

5£ 

. 

545 

C- 

54} 

i°- 

54}, 

P. 

a 

78 


TABLE  4.— TRAVERSE  TABLE. 


d 

35°. 

35M°. 

35H°. 

35340. 

O 

i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

41.78 

29.25 

41.65 

29.43 

41.52 

29.62 

41.39 

29.80 

51 

52 

42.  60 

29.83 

42.47 

30.01 

42.33 

30.20 

42.20 

30.38 

52 

53 

43.  42 

30.40 

43.28 

30.59 

43.15 

30.78 

43.01 

30.97 

53 

54 

44.  23 

30.97 

44.10 

31.17 

43.96 

31.36 

43.82 

31.55 

54 

55 

45.05 

31.55 

44.92 

31.74 

44.78 

31.94 

44.  04 

32.13 

55 

50 

45.87 

32.12 

45.  73 

32.  32 

45.  59 

32.52 

45.45 

32.72 

56 

57 

46.  C.9 

32.69 

40.55 

32.90 

46.  40 

33.  10 

46.  26 

33.30 

57 

58 

47.  51 

33.27 

47.37 

33.47 

47.22 

33.68 

47.07 

33.89 

58 

59 

48.33 

33.84 

48.18 

34.05 

48.03 

34.26 

47.88 

34.47 

59 

GO 

49.15 

34.41 

49.00 

34.63 

48.85 

34.84 

48.69 

35.05 

60 

61 

49.97 

34.99 

49.82 

35.21 

49.  66 

35.42 

49.51 

35.64 

61 

62 

50.79 

35.56 

50.63 

35.78 

50.48 

36.00 

50.32 

36.  22 

62 

63 

51.61 

36.14 

51.45 

30.  36 

51.29 

36.58 

51.13 

36.81 

63 

64 

52.43 

36.  71 

52.27 

36.94 

52.10 

37.16 

51.94 

37.39 

64 

65 

53.24 

37.28 

53.08 

37.51 

52.92 

37.75 

52.75 

37.98 

65 

66 

54.  06       37.  86 

53.90 

38.09 

53.  73 

38.33 

53.  56 

38.56 

66 

67 

54.88  i    38.43 

54.71 

38.67 

54.55 

38.91 

54.  38 

39.14 

67 

68 

55.70       39.00 

55.53 

39.25 

55.36 

39.49 

55.  19 

39.73 

68 

69 

56.  52 

39.  58 

56.35 

39.82 

56.  17 

40.07 

56.00 

40.31 

69 

70 

57.34 

40.15 

57.16 

40.40 

56.99 

40.65 

56.81 

40.90 

70 

71 

58.16 

40.72 

57.98 

40.98 

57.80 

41.23 

57.62 

41.48 

71 

72 

58.  98 

41.30 

58.80 

41.55 

58.62 

41.81 

58.43 

42.07 

72 

73 

59.80 

41.87 

59.  61 

42.13 

59.  43 

42.39 

59.24 

42.  65 

73 

74 

60.62 

42.44 

60.43 

42.71 

60.24 

42.97 

60.  06 

43.23 

74 

75 

61.44 

43.02 

61.25 

43.  29 

61.06 

43.55 

60.87 

43.82 

75 

76 

62.  26 

43.59 

62.  06 

43.86 

61.87 

44.  13 

61.68 

44.40 

76 

77 

63.07 

44.17 

62.88 

44.44 

62.69 

44.71 

62.49 

44.99 

77 

78 

63.89 

44.74 

63.70 

45.02 

63.50 

45.29 

63.30 

45.57 

78 

79 

64.71 

45.31 

64.51 

45.59 

64.32 

45.88 

64.11 

46.16 

79 

80 

65.53 

45.89 

65.33 

46.17 

65.13 

46.46 

64.93 

46.74 

80 

81 

66.35 

46.46 

66.15 

46.75 

65.94 

47.04 

65.74 

47.32 

81 

82 

67.17 

47.03 

66.96 

47.33 

66.76 

47.  62 

66.55 

47.  91        82 

83 

67.99 

47.61 

67.78 

47.90 

67.  57 

48.20 

67.36 

48.49  !     83 

84 

68.81 

48.18 

68.60 

48.48 

68.39 

48.78 

68.17 

49.08 

84 

85 

69.  63 

48.  75 

69.41 

49.06 

69.20 

49.  30 

68.  98 

49.  60 

85 

86 

70.45 

49.  33 

70.23 

49.63 

70.01 

49.94 

69.  80 

50.25 

86 

87 

71.27 

49.90 

71.05 

50.21 

70.83 

50.52 

70.  61 

50.83 

87 

88 

72.09 

50.47 

71.86 

50.79 

71.64 

51.10 

71.42 

51.41 

88 

89 

72.90 

51.05 

72.  68 

51.37 

72.  46 

51.68 

72.23 

52.00 

89 

90 

73.72 

51.62 

73.50 

51.94 

73.27 

52.  26 

73.04 

52.58 

90 

91 

74.54 

52.20 

74.31 

52.52 

74.08 

52.84 

73.85 

53.17 

91 

92 

75.36 

52.77 

75.13 

53.10 

74.90 

53.42 

74.66 

53.75 

92 

93 

76.  18 

53.34 

75.95 

53.67 

75.71 

54.01 

75.48 

54.34 

93 

94 

77.00 

53.92 

76.76 

54.25 

76.53 

54.59 

76.29 

54.92 

94 

95 

77.82 

54.49 

77.58 

54.83 

77.34 

55.17 

77.10 

55.50 

95 

96 

78.64 

55.06 

78.40 

55.41 

78.16 

55'.  75 

77.91 

56.09 

96 

97 

79.46 

55.64 

79.21 

55.98 

78.97 

56.  33 

78.72 

56.67 

97 

98 

80.28 

56.21 

80.  03 

56.56 

79.78 

56.91 

79.53 

57.  26 

98 

99 

81.10 

56.78 

80.85 

57.14 

80.60 

57.49 

80.35 

57.84 

99 

100 

81.92 

57.36 

81.66 

57.71 

81.41 

58.07 

81.16 

58.42 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

| 

c 

1 

to 

n 

55°. 

fUfr 

54Ji°. 

54M°- 

5 

79 


TABLE  4.— TRAVERSE  TABLE. 


o 

R 

36°. 

mr. 

36^°. 

36%°. 

O 

§ 
P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.   Dep. 

£5" 

1 

i 

0.81 

0.59 

0.81 

0.59 

0.80 

0.  59 

0.80 

0.60 

1 

2 

1.62 

1.18 

1.61 

1.18 

1.61 

1.19 

1.  00 

1.20 

2 

3 

2.43 

1.76 

2.42 

1.77 

2.41 

1.78 

2.40 

1.79 

3 

4 

3.24 

2.35 

3.23 

2.37 

3.22 

2.38 

3.21 

2.39 

4 

5 

4.05 

2.94 

4.03 

2.96 

4.02 

2.97 

4.01 

2.  9<» 

5 

6 

4.85 

3.53 

4.84 

3.55 

4.82 

3.57 

4.81 

3.59 

6 

7 

5.66 

4.11 

5.65 

4.14 

5.63 

4.16 

5.61 

4.19 

7 

8 

6.47 

4.70 

6.45 

4.73 

6.43 

4.76 

6.41 

4.79 

8 

9 

7.28 

5.29 

7.26 

5.32 

7.23 

5.35 

7.21 

5.38 

9 

10 

8.09 

5.88 

8.06 

5.91 

8.04 

5.95 

8.01 

5.98 

10 

11 

8.90 

6.47 

8.87 

6.50 

8.84 

6.54 

8.81 

6.58 

11 

12 

9.71 

7.  05 

9.68 

7.10 

9.65 

7.14 

9.62 

7.18 

12 

13 

10.52 

7.64 

10.48 

7.69 

10.45 

7.73 

10.42 

7.7s 

13 

14 

11.33 

8.23 

11.29 

8.28 

11.25 

8.33 

11.22 

8.38 

14 

15 

12.14 

8.82 

12.  10 

8.87 

12.06 

8.92 

12.02 

8.97 

15 

16 

12.94 

9.40 

12.90 

9.46 

12.86 

9.52 

12.82 

9.57 

16 

17 

13.  75 

9.99 

13.71 

10.05 

13.67 

10.11 

13.  62 

10.17 

17 

18 

14.56 

10.58 

14.52 

10.64 

14.47 

10.71 

14.42 

10.77 

18 

19 

15.  37 

11.17 

15.32 

11.23 

15.27 

11.30 

15.22 

11.37 

19 

20 

16.18 

11.76 

16.13 

11.83 

16.08 

11.90 

16.03 

11.97 

20 

21 

16.99 

12.34 

16.94 

12.42 

16.88 

12.49 

16.83 

12.56 

21 

22 

17.80 

12.93 

17.74 

13.01 

17.68 

13.09 

17.  03 

13.  16 

22 

23 

18.61 

13.52 

18.55 

13.60 

18.49 

13.  68 

18.43 

13.76 

23 

24 

19.  42 

14.11 

19.35 

14.19 

19.29 

14.28 

19.23 

14.  36 

24 

25 

20.  23 

14.69 

20.  16 

14.78 

20.10 

14.87 

20.03 

14.90 

25 

26 

21.03 

15.28 

20.97 

15.37 

20.  90 

15.47 

20.83 

15.  56 

2fi 

27 

21.84 

15.87 

21.77 

15.97 

21.70 

16.  06 

21.63 

16.15 

27 

28 

22.65 

16.  46 

22.  58 

16.  56 

22.51 

16.66 

22.44 

16.  75 

28 

29 

23.46 

17.  05 

23.39 

17.15 

23.31 

17.25 

23.24 

17.35 

29 

30 

24.27 

17.63 

24.19 

17.74 

24.12 

17.84 

24.04 

17.95 

30 

31 

25.  08 

18.22 

25.00 

18.33 

24.92 

18.44 

24.84 

18.55 

31 

32 

25.  89 

18.81 

25.81 

18.92 

25.72 

19.03 

25.64 

19.15 

32 

33 

26.  70 

19.40 

26.61 

19.51 

26.  53 

19.  63 

26.  44 

19.74 

33 

34 

27.51 

19.98 

27.42 

20.10 

27.33 

20.22 

27.24 

20.  34 

34 

35 

28.32 

20.57 

28.23 

20.70 

28.  13 

20.82 

28.04 

20.  91 

35 

36 

29.12 

21.  16 

29.03 

1  21.  29 

28.94 

21.41 

28.85 

21.54 

36 

37 

29.  93 

21.75 

29.  84 

21.88 

29.74 

22.01 

29.65 

22.  14 

37 

38 

30.  74 

22.  34 

30.64 

22.47 

30.  55 

22.  60 

30.45 

22.  74 

38 

39 

31.  55 

22.92 

31.45 

23.06 

31.35 

23.  20 

31.  25 

23.  33 

39 

40 

32.  36 

23.51 

32.  26 

23.65 

32.  15 

23.79 

32.05 

23.  93 

40 

41 

33.  17 

24.10 

33.06 

24.24 

32.  96 

24.39 

32.85 

24.53 

41 

42 

33.  98 

24.  69 

33.87 

24.  84 

33.  76 

24.98 

33.  65 

25.  13 

42 

43 

34.79 

25.27 

34.68 

25.  43 

34.57 

25.58 

34.45 

25.73 

43 

44 

35.00 

25.  86 

35.48 

26.  02 

35.37 

26.  17 

35.  26 

26.  33 

44 

45 

36.41 

26.  45 

36.29 

26.61 

36.  17 

26.  77 

36.  00 

26.  92 

45 

46 

37.21 

27.04 

37.10 

27.20 

36.  98 

27.36 

36.8C. 

27.  52 

46 

47 

38.02 

27.  63 

37.90 

27.79 

37.78 

27.  96 

37.  00 

28.  12 

47 

48 

.  38.  83 

28.21 

38.71 

28.38 

38.59 

28.55 

38.  46 

28.72 

48 

49 

39.  64 

28.  80 

39.52 

28.97 

39.39 

29.15 

39.  26 

29.32 

49 

50 

40.45 

29.  39 

40.32 

29.57 

40.19 

29.74 

40.06 

29.92 

50 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

OJ 

5 

54°. 

5* 

4» 

53^°. 

1 

80 


TABLE  4.— TRAVERSE  TABLE. 


g 

36°. 

*w. 

30«°. 

36%°. 

g 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

» 

51 

41.26 

29.98 

41.13 

30.16 

41.00 

30.34 

40.  86 

30.51 

51 

52 

42.07 

30.  56 

41.94 

30.  75 

41.80 

30.93 

41.67 

31.11 

52 

53 

42.88 

31.  15 

42.74 

31.34 

42.  60 

31.53 

42.47 

31.71 

53 

54 

43.  69 

31.74 

43.  55 

31.93 

43.41 

32.12 

43.27 

32.31 

54 

55 

44.  50 

32.  33 

44.  35 

32.  52 

44.21 

32.72 

44.07 

32.91 

55 

56 

45.30 

32.92 

45.16 

33.11 

45.02 

33.31 

44  87 

33.51 

56 

57 

46.11 

33.50 

45.97 

33.  70 

45.82 

33.90 

45.67 

34.10 

57 

58 

46.  92 

34.  09 

46.77 

34.30 

46.62 

34.50 

46.47 

34.70 

58 

59 

47.  73 

34.  68 

47.  58 

34.89 

47.43 

35.09 

47.27 

35.  30 

59 

60 

48.54 

35.27 

48.39 

35.48 

48.23 

35.69 

48.08 

35.90 

60 

61 

49.  35 

35.  85 

49.19 

36.  07 

49.04 

36.28 

48.88 

36.50 

61 

62 

50.  16 

36.44 

50.  00 

36.  66 

49.84 

36.88 

49.68 

37.10 

62 

63 

50.97 

37.03 

50.81 

37.25 

50.  64 

37.  47 

50.48 

37.69 

63 

64 

51.78 

37.  62 

51.61 

37.84 

51.45 

38.07 

51.28 

38.  29 

64 

65 

52.  59 

38.  21 

52.  42 

38.  44 

52.25 

38.  66 

52.08 

38.89 

65 

66 

53.40 

38.79 

53.  23 

39.03 

53.05 

39.26 

52.88 

39.49 

66 

67 

54.20 

39.38 

54.03 

39.62 

53.86 

39.85 

53.68 

40.09 

67 

68 

55.01 

39.97 

54.  84 

40.21 

54.66 

40.  45 

54.49 

40.  69 

68 

69 

55.82 

40.  56 

55.  64 

40.80 

55.47 

41.04 

55.29 

41.28 

69 

70 

56.63 

41.14 

56.45 

41.39 

56.27 

41.64 

56.09 

41.88 

70 

71 

57.44 

41.73 

57.26 

41.98 

57.07 

42.23 

56.89 

42.48 

71 

72 

58.25 

42.32 

58.06 

42.57 

57.88 

42.  83 

57.69 

43.08 

72 

73 

59.  06 

42.91 

58.87 

43.  17 

58.68 

43.42 

58.  49 

43.68 

73 

74 

59.87 

43.50 

59.  68 

43.76 

59.49 

44.02 

59.29 

44.28 

74 

75 

60.158 

44.08 

60.  48 

44.35 

60.29 

44.61 

60.09 

44.87 

75 

76 

61.49 

44.  67 

61.29 

44.94 

61.09 

45.21 

60.90 

45.47 

76 

77 

62.  29 

45.26 

62.  10 

45.53 

61.90 

45.80 

61.70 

46.07 

77 

78 

63.  10 

45.85 

62.90 

46.12 

62.70 

46.  40 

62.50 

46.67 

78 

79 

63.91 

46.  44 

63.  71 

46.  71 

63.50 

46.  99 

63.30 

47.27 

79 

80 

64.72 

47.02 

64.52 

47  30 

64.31 

47.59 

64.10 

47.87 

80 

81 

65.53 

47.61 

65.32 

47.90 

65.11 

48.18 

64.90 

48.46 

81 

82 

66.  34 

48.20 

66.  13 

48.  49 

65.92 

48.78 

65.70 

49.06 

82 

83 

67.15 

48.  79 

66.  93 

49.08 

66.  72 

49.37 

66.50 

49.66 

83 

84 

67.  96 

49.37 

67.  74 

49.  67 

67.52 

49.97 

67.31 

50.26 

84 

85 

68.  77 

49.  96 

68.55 

50.  26 

68.33 

50.56 

68.11 

50.86 

85 

86 

69.  58 

50.55 

69.  35 

50.85 

69.13 

51.15 

68.91 

51.46 

86 

87 

70.38 

51.14 

70.16 

51.44 

69.94 

51.75 

69.  71 

52.05 

87 

88 

71.19 

51.73 

70.97 

52.04 

70.74 

52.34 

70.51 

52.  65 

88 

89 

72.00 

52.31 

71.77 

52.63 

71.54 

52.94 

71.31 

53.25 

89 

90 

72.81 

52.90 

72.58 

53.22 

72.35 

53.53 

72.11 

53.85 

90 

91 

73.  62 

.53.  49 

73.39 

53.81 

73.  15 

54.13 

72.91 

54.  45 

91 

92 

74.43 

54.08 

74.19 

54.40 

73.95 

54.72 

73.72 

55.05 

92 

93 

75.  24 

54.  66 

75.00 

54.  99 

74.  76 

55.32 

74.52 

55.64 

93 

94 

76.  05 

55.  25 

75.81 

55.58 

75.56 

55.91 

75.32 

56.24 

94 

95 

76.  86 

55.84 

76.  (1 

56.  17 

76.37 

56/51 

76.12 

56.84 

95 

96 

77.  67 

56.  43 

77.42 

56.  77 

77.17 

57.10 

76.92 

57.44 

96 

97 

78.47 

57.  02 

78.  23 

57.36 

77.97 

57.70 

77  72 

58.04 

97 

98 

79.28 

57.  60 

79.  03 

57.95 

78.78 

58.29 

78.52 

58.64 

98 

99 

80.  0!) 

58.19 

79.84 

58.54 

79.58 

58.89 

79.32 

59.23 

99 

100 

80.90 

58.78 

80.64 

59.13 

80.39 

59.  48 

80.13 

59.83 

100 

R 

B 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

s 

• 

a 

a 

54°. 

53%°. 

53^° 

53'-T. 

1 

1 

41479—10 6 


81 


TABLE  4.— TRAVERSE  TABLE. 


d 

37°. 

37M°. 

DMfl 

37^°. 

a 

55' 

«• 

I 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0.80 

0.60 

0.80 

0.61 

0.79 

0.61 

0.79 

0.61 

1 

2 

1.60 

1.20 

1.59 

1.21 

1.59 

1.22 

1.58 

1.22 

2 

3 

2.40 

1.81 

2.39 

1.82 

2.38 

1.83 

2.37 

1.84 

3 

4 

3.19 

2.41 

3.18 

2.42 

3.17 

2.44 

3.16 

2.45 

4 

5 

3.99 

3.01 

3.98 

3.03 

3.97 

3.04 

3.95 

3.  06 

5 

G 

4.79 

3.61 

4.78 

3.63 

4.76 

3.65 

4.74 

3.  67 

6 

7 

5.59 

4.21 

5.57 

4.24 

5.55 

4.26 

5.53 

4.29 

7 

8 

6.39 

4.81 

6.37 

4.84 

6.35 

4.87 

6.33 

4.90 

8 

9 

7.19 

5.42 

7.16 

5.45 

7.14 

5.48 

7.12 

5.51 

9 

10 

7.99 

6.02 

7.96 

6.05 

7.93 

6.09 

7.91 

6.12 

10 

11 

8.78 

6.62 

8.76 

6.66 

8.73 

6.70 

8.70 

6.73 

11 

12 

9.58 

7.22 

9.55 

7.26 

9.52 

7.31 

9.49 

7.35 

12 

13 

10.38 

7.82 

10.35 

7.87 

10.31 

7.91 

10.28 

7.96 

13 

14 

11.18 

8.43 

11.14 

8.47 

11.11 

8.52 

11.07 

8.57 

14 

15 

11.98 

9.03 

11.94 

9.08 

11.90 

9.13 

11.86 

9.18 

15 

16 

12.78 

9.63 

12.74 

9.68 

12.69 

9.74 

12.65 

9.80 

16 

17 

13.58 

10.23 

13.53 

10.29 

13.49 

10.35 

13.44 

10.41 

17 

18 

14.38 

10.83 

14.33 

10.90 

14.28 

10.96 

14.23 

11.02 

18 

19 

15.17 

11.43 

15.  12 

11.50 

15.07 

11.57 

15.02 

11.63 

19 

20 

15.97 

12.04 

15.92 

12.11 

15.87 

12.18 

15.81 

12.24 

20 

21 

16.77 

12.  64 

16.72 

12.71 

16.66 

12.78 

16.60 

12.86 

21 

22 

17.57 

13.  24 

17.51 

13.32 

17.45 

13.39 

17.40 

13.47 

22 

23 

18.37 

13.84 

18.31 

13.92 

18.25 

14.00 

18.19 

14.08 

23 

24 

19.17 

14.44 

19.10 

14.53 

19.04 

14.61 

18.98 

14.69 

24 

25 

19.97 

15.05 

19.90 

15.13 

19.83 

15.22 

19.77 

15.31 

25 

26 

20.76 

15.65 

20.70 

15.74 

20.  63 

15.  83 

20.56 

15.92 

26 

27 

21.56 

16.25 

21.49 

16.34 

21.42 

16.44 

21.35 

16.53 

27 

28 

22.  36 

16.85 

22.  29 

16.95 

22.21 

17.05 

22.  14 

17.14 

28 

29 

23.16 

17.45 

23.08 

17.55 

23.01 

17.65 

22.93 

17.75 

29 

30 

23.96 

18.05 

23.88 

18.16 

23.80 

18.26 

23.72 

18.37 

30 

31 

24.76 

18.66 

24.68 

18.76 

24.59 

18.87 

24.51 

18.98 

31 

32 

25.56 

19.26 

25.47 

19.37 

25.39 

19.48 

25.30 

19.59 

32 

33 

26.35 

19.86 

26.27 

19.97 

26.  18 

20.09 

26.09 

20.20 

33 

34 

27.15 

20.46 

27.06 

20.  58 

26.97 

20.70 

26.88 

20.82 

34 

35 

27.  95 

21.06 

27.  86 

21.19 

27.77 

21.31 

27.67 

21.43 

35 

36 

28.75 

21.67 

28.  06 

21.79 

28.56 

21.92 

28.46 

22.04 

30 

37 

29.55 

22.27 

29.45 

22.40 

29.35 

22.  52 

29.26 

22.65 

37 

38 

30.  35 

22.87 

30.25 

23.00 

30.15 

23.13 

30.05 

23.26 

38 

39 

31.15 

23.47 

31.04 

23.61 

30.94 

23.74 

30.84 

23.88 

39 

40 

31.95 

24.07 

31.84 

24.21 

31.73 

24.35 

31.63 

24.49 

40 

41 

32.74 

24.  67 

32.  64 

24.82 

32.53 

24.96 

32.42 

25.10 

41 

42 

33.54 

25.28 

33.43 

25.42 

33.32 

25.57 

33.21 

25.71 

42 

43 

34.34 

25.88 

34.23 

26.03 

34.11 

26.18 

34.00 

26.33 

43 

44 

35.14 

26.48 

35.02 

26.63 

34.91 

26.79 

34.79 

26.  94 

44 

45 

35.94 

27.08 

35.82 

27.24 

35.70 

27.39 

35.58 

27.55 

45 

46 

36.74 

27.68 

36.  62 

27.84 

36.49 

28.00 

36.37 

28.  16 

46 

47 

37.54 

28.29 

37.41 

28.45 

37.29 

28.61 

37.16 

28.77 

47 

48 

38.33 

28.89 

38.21 

29.05 

38.08 

29.22 

37.95 

29.39 

48 

49 

39.13 

29.49 

39.00 

29.66 

38.87 

29.83 

38.74 

30.00 

49 

50 

39.93 

30.09 

39.80 

30.26 

39.67 

30.44 

39.53 

30.61 

50 

S* 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

| 

• 
9 

a 

§                   53°. 

52%°. 

52Ji°. 

52M°. 

I 

82 


TABLE  4. -TRAVERSE  TABLE. 


0 

37°. 

37^°. 

37^°. 

37%°. 

g 

V 

s 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

51 

40.73 

30.  69 

40.60 

30.87 

40.46 

31.05 

40.33 

31.22 

51 

52 

41.53 

31.29 

41.39 

31.48 

41.25 

31.66 

41.12 

31.84 

52 

53 

42.33 

31.90 

42.19 

32.08 

42.  05 

32.  26 

41.91 

32.45 

53 

54 

43.13 

32.50 

42.98 

32.  C9 

42.84 

32.87 

42.70 

33.06 

54 

55 

43.92 

33.10 

43.78 

33.29 

43.63 

33.  48 

43.49 

33.  G7 

55 

56 

44.72 

33.  70 

44.  58 

33.  90 

44.43 

34.09 

44.28 

34.28 

56 

57 

45.52 

34.30 

45.37 

34.  50 

45.22 

34.  70 

45.07 

34.90 

57 

58 

4(5.  32 

34.91 

46.  17 

35.11 

4(>.  01 

35.  31 

45.86 

35.51 

58 

59 

47.12 

35.51 

46.  96 

35.71 

46.  81 

35.  92 

46.  65 

36.  12 

59 

GO 

47.92 

36.11 

47.76 

36.32 

47.60 

36.  53 

47.44 

36.73 

60 

61  ' 

48.72 

36.71 

48.  56 

36.  92 

48.39 

37.13 

48.23 

37.35 

61 

62 

49.52 

37.31 

49.35 

37.53 

49.19 

37.74 

49.02 

37.  96 

62 

63 

50.31 

37.  91 

50.15 

38.  13 

49.98 

38.35 

49.81 

38.57 

63 

64 

51.11 

38.52 

50.94 

38.  74 

50.77 

38.  96 

50.60 

39.18 

64 

65 

51.91 

39.  12 

51.74 

39.34 

51.57 

39.  57 

51.39 

39.79 

65 

66 

52.71 

39.72 

52.  54 

39.95 

52.36 

40.18 

52.19 

40.41 

66 

67 

53.51 

40.  32 

53.33 

40.  55 

53.15 

40.79 

52.98 

41.02 

67 

68 

54.31 

40.92 

54.13 

41.16 

53.95 

41.40 

53.77 

41.63 

68 

69 

55.11 

41.53 

54.92 

41.77 

54.74 

42.00 

54.56 

42.24 

69 

70 

55.90 

42.13 

55.72 

42.  37 

55.53 

42.61 

55.35 

42.86 

70 

71 

56.  70 

42.73 

56.52 

42.98 

56.33 

43.22 

56.14 

43.47 

71 

72 

57.  50 

43.  33 

57.  31 

43.58 

57.12 

43.83 

56.93 

44.08 

72 

73 

58.30 

43.93 

58.11 

44.19 

57.91 

44.44 

57.72 

44.69 

73 

74 

59.10 

44.53 

58.90 

44.79 

58.71 

45.05 

58.51 

45.30 

74 

75 

59.90 

45.  14 

59.70 

45.40 

59.50 

45.66 

59.30 

45.92 

75 

76 

60.70 

45.  74 

60.  50 

46.  00 

CO.  29 

46.  27 

60.09 

46.53 

76 

77 

61.49 

46.  34 

61.29 

46.  61 

61.09 

46.87 

60.88 

47.14 

77 

78 

62.29 

46.94 

62.09 

47.21 

61.88 

47.48 

61.67 

47.75 

78 

79 

63.09 

47.54 

62.88 

47.82 

62.  67 

48.09 

62.46 

48.37 

79 

80 

63.89 

48.15 

63.68 

48.42 

63.  47 

48.70 

63.26 

48.98 

80 

81 

64.69 

48.75 

64.  48 

49.03 

64.26 

49.31 

64.05 

49.59 

81 

82 

65.  49 

49.35 

65.27 

49.63 

65.05 

49.92 

64.84 

50.20 

82 

83 

66.  29 

49.95 

66.07 

50.24 

65.85 

50.53 

65.  63 

50.81 

83 

84 

67.09 

50.55 

66.  86 

50.84 

66.64 

51.14 

66.  42 

51.43 

84 

85 

67.88 

51.15 

67.  G6 

51.45 

67.44 

51.74 

67.  21 

52.04 

85 

86 

68.68 

51.76 

68.  48 

52.06 

68.  23 

52.35 

68.00 

52.65 

86 

87 

69.48 

52.  36 

69.25 

52.66 

69.  02 

52.  96 

68.79 

53.  26 

87 

88 

70.28 

52.96 

70.  05 

53.27 

69.82 

53.57 

69.58 

53.88 

88 

89 

71.08 

53.  56 

70.84 

53.87 

70.61 

54.18 

70.37 

54.49 

89 

90 

71.88 

54.  1G 

71.64 

54.48 

71.40 

54.79 

71.16 

55.10 

90 

91 

72.68 

54.77 

72.44 

55.08 

72.20 

55.40 

71.95 

55.71 

91 

92 

73.47 

55.  37 

73.23 

55.  69 

72.99 

56.01 

72.74 

56.  32 

92 

93 

74.27 

55.97 

74.03 

56.29 

73.  78 

56.  61 

73.  53 

56.  94 

93 

94 

75.07 

56.57 

74.82 

56.  90 

74.58 

57.22 

74.32 

57.55 

94 

95 

75.  87 

57.17 

75.  62 

57.50 

75.37 

57.83 

75.12 

58.16 

95 

96 

76.  67 

57.  77 

76.  42 

58.11 

76.  16 

58.44 

75.91 

58.77 

96 

97 

77.47 

58.38 

77.21 

58.71 

76.  96 

59.05 

76.70 

59.39 

97 

98 

78.  27 

58.  98 

78.01 

59.32 

77.75 

59.66 

77.49 

60.00 

98 

99 

79.06 

59.58 

78.  80 

59.92 

78.  54 

60.27 

78.28 

60.61 

99 

100 

79.86 

60.18 

79.60 

60.53 

79.34 

60.88 

79.07 

61.22 

100 

I 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

"OT 

fl 

53°. 

523,r. 

52^°. 

52M°. 

A 

83 


TABLE  4.— TRAVERSE  TABLE. 


0 

38°. 

38^°. 

38^°.                       38%°. 

d 

i      2- 

• 

3 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.          S 

1 

0.79 

0.62 

0.79 

0.62 

0.78 

0.62 

0.78 

0.63 

1 

2 

1.58 

1.23 

1.57 

1.24 

1.57 

1.25 

1.56 

1.25 

2 

3 

2.36 

1.85 

2.36 

1.86 

2.35 

1.87 

2.34 

1.88 

3 

4 

3.15 

2.46 

3.14 

2.48 

3.13 

2.49 

3.12 

2.50 

4 

5 

3.94 

3.08 

3.93 

3.10 

3.91 

3.11 

3.90 

3.13 

5 

6 

4.73 

3.69 

4.71 

3.71 

4.70 

3.74 

4.68 

3.76 

6 

7 

5.52 

4.31 

5.50 

4.33 

5.48 

4.36 

5.46 

4.38 

7 

8 

6.30 

4.93 

6.28 

4.95 

6.26 

4.98 

6.24 

5.01 

8 

9 

7.09 

5.54 

7.07 

5.57 

7.04 

5.60 

7.02 

5.  63 

9 

10 

7.88 

6.16 

7.85 

6.19 

7.83 

6.23 

7.80 

6.26 

10 

11 

8.67 

6.77 

8.64 

6.81 

8.61 

6.85 

8.58 

6.89 

11 

12 

9.46 

7.39 

9.42 

7.43 

9.39 

7.47 

9.36 

7.51 

12 

13 

10.24 

8.00 

10.21 

8.05 

10.17 

8.09 

10.14 

8.14 

13 

14 

11.03 

8.62 

10.99 

8.67 

10.  96 

8.72 

10.92 

8.76 

14 

15 

11.82 

9.23 

11.78 

9.29 

11.74 

9.34 

11.70 

9.39 

15 

16 

12.  61 

9.  85 

12.57 

9.91 

12.52 

9.96 

12.48 

10.01 

16 

17 

13.40 

10.47 

13.35 

10.52 

13.  30 

10.58 

13.26 

10.  64 

17 

18 

14.  18 

11.08 

14.14 

11.14 

14.09 

11.21 

14.04 

11.27 

18 

19 

14.97 

11.70 

14.92 

11.76 

14.87 

11.83 

14.82 

11.89 

19 

20 

15.76 

12.31 

15.71 

12.38 

15.65 

12.45 

15.60 

12.52 

20 

21 

16.55 

12.93 

16.49 

13.00 

16.43 

13.07 

16.38 

13.  14 

21 

22 

17.34 

13.  54 

17.28 

13.  62 

17.22 

13.  70 

17.  16 

13.  77 

22 

23 

18.12 

14.  16 

18.06 

14.24 

18.00 

14.32 

17.94 

14.40 

23 

24 

18.91 

14.  78 

18.85 

14.  86 

18.78 

14.94 

18.72 

15.02 

24 

25 

19.70 

15.39 

19.  63 

15.  48 

19.  57 

15.  56 

19.50  1     15.05 

25 

26 

20.49 

16.01 

20.42 

16.  10 

20.35 

16.  19 

20.  28 

16.27 

26 

27 

21.28 

16.  62 

21.  20 

16.72 

21.13 

16.81 

21.06 

16.90 

27 

28 

22.  06 

17.24 

21.99 

17.33 

21.91 

17.43 

21.84 

17.53 

28 

29 

22.85 

17.  85 

22.77 

17.  95 

22.70 

18.05 

22.  62 

18.15 

29 

30 

23.64 

18.47 

23.56 

18.57 

23.48 

18.68 

23.40 

18.78 

30 

31 

24.  43 

19.09 

24.34 

19.19 

24.  26 

19.  30 

24.18 

19.40 

31 

32 

25.22 

19.70 

25.  13 

19.  81 

25.04 

19.92 

24.  96 

20.03 

32 

33 

26.  00 

20.32 

25.92 

20.43 

25.83 

20.54 

25.74 

20.  66 

33 

34 

26.  79 

20.  93 

26.  70 

21.05 

26.  61 

21.17 

26.52 

21.28 

34 

35 

27.  58 

21.55 

27.49 

21.67 

27.39 

21.79 

27.30 

21.91 

35 

36 

28.37 

22.  16 

28.  27 

22.29 

28.17 

22.41 

28.08 

22.53 

36 

37 

29.16 

22.  78 

29.06 

22.91 

28.96 

23.  03 

28.86 

23.  16 

37 

38 

29.94 

23.40 

29.84 

23.  53 

29.74 

23.  66 

29.64 

23.  79 

38 

39 

30.  73 

24.01 

30.63 

24.14 

30.52 

24.28 

30.42 

24.41 

39 

40 

31.52 

24.63 

31.41 

24.76 

31.30 

24.90 

31.20 

25.04 

40 

41 

32.31 

25.24 

32.20 

25.  38 

32.09 

25.52 

31.98 

25.  66 

41 

42 

33.10 

25.86 

32.  98 

26.00 

32.87 

26.  15 

32.76 

26.  29 

42 

43 

33.88 

26.  47 

33.77 

26.  62 

33.  65 

26.77 

33.54 

26.  91 

43 

44 

34.67 

27.09 

34.55 

27.24 

34.  43 

27.39 

34.  31 

27.54 

44 

45 

35.  46 

27.70 

35.34 

27.  86 

35.22 

28.01 

35.09 

28.17 

45 

46 

36.25 

28.32 

36.12 

28.48 

36.00 

28.64 

35.  87 

28.79 

46 

47 

37.04 

28.94 

36.  91 

29.10 

36.  78 

29.26 

36.65 

29.42 

47 

48 

37.82 

29.55 

37.70 

29.72 

37.57 

29.88 

37.  43 

30.04 

48 

49 

38.  61 

30.17 

38.  48 

30.  34 

38.35 

30.  50 

38.21 

30.67 

49 

50 

39.40 

30.78 

39.27 

30.95 

39.13 

31.13 

38.99 

31.  30 

50 

8 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

M 

1 

|| 

1 

ft 

52°.                         51%°. 

51}'2°. 

51M°- 

ft 

84 


TABLE  4.— TRAVERSE  TABLE. 


d 

38°. 

38M°. 

38^'. 

38%  °. 

O 
53" 

& 

P 

1 

? 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

8 

51 

40.19 

31.40 

40.05 

31.57 

39.91 

31.75 

39.77 

31.92 

51 

52 

40.98 

32.01 

40.84 

32.19 

40.70 

32.37 

40.55 

32.55 

52 

53 

41.76 

32.63 

41.  62 

32.81 

41.48 

32.99 

41.33 

33.17 

53 

54 

42.55 

33.25 

42.41 

33.43 

42.26 

33.  62 

42.11 

33.80 

54 

55 

43.  34 

33.  86 

43.19 

34.  05 

43.04 

34.24 

42.89 

34.43 

55 

56 

44.13 

34.48 

43.98 

34.  67 

43.83 

34.86 

43.67 

35.05 

56 

57 

44.92 

35.09 

44.76 

35.29 

44.61 

35.48 

44.  45 

35.  68 

57 

58 

45.70 

35.71 

45.55 

35.91 

45.39 

36.  11 

45.23 

36.30 

58 

59 

46.  49 

36.  32 

46.33 

36.53 

46.  17 

36.73 

46.01 

36.93 

59 

60 

47.28 

36.94 

47.12 

37.15 

46.96 

37.35 

46.79 

37.56 

60 

61 

48.07 

37.56 

47.90 

37.76 

47.74 

37.97 

47.57 

38.18 

61 

62 

48.86 

38.17 

48.69 

38.38 

48.52 

38.60 

48.35 

38.81 

62 

63 

49.64 

38.79 

49.47 

39.00 

49.30 

39.22 

49.13 

39.43 

63 

64 

50.43 

39.40 

50.26 

39.62 

50.09 

39.84 

49.91 

40.06 

64 

65 

51.22 

40.02 

51.05 

40.24 

50.87 

40.46 

50.69 

40.69 

65 

66 

52.01 

40.  63 

51.83 

40.86 

51.65 

41.09 

51.47 

41.31 

66 

67 

52.80 

41.25 

52.  62 

41.48 

52.43 

41.71 

52.  25 

41.94 

67 

68 

53.58 

41.  86 

53.40 

42.10 

53.22 

42.33 

53.03 

42.  56 

68 

69 

54.37 

42.  48 

54.19 

42.72 

54.00 

42.95 

53.81 

43.  19 

69 

70 

55.16 

43.10 

54.97 

43.34 

54.78 

43.58 

54.59 

43.81 

70 

71 

55.95 

43.  71 

55.76 

43.96 

55.57 

44.20 

55.37 

44.44 

71 

72 

56.74 

44.33 

56.54 

44.57 

56.35 

44.82 

56.15 

45.07 

72 

73 

57.52 

44.94 

57.  33 

45.19 

57.13 

45.44 

56.93 

45.69 

73 

74 

58.31 

45.56 

58.11 

45.81 

57.91 

46.07 

57.71 

46.  32 

74 

75 

59.  10 

46.17 

58.90 

46.43 

58.70 

46.69 

58.49 

46.94 

75 

76 

59.89 

46.79 

59.68 

47.05 

59.48 

47.31 

59.27 

47.57 

76 

77 

60.  68 

47.41 

60.47 

47.  67 

60.26 

47.93 

60.05 

48.20 

77 

78 

61.46 

48.02 

61.25 

48.29 

61.04 

48.56 

60.83 

48.82 

78 

79 

62.25 

48.64 

62.  04 

48.91 

61.83 

49.18 

61.61 

49.45 

79 

80 

63.04 

49.25 

62.83 

49.53 

62.61 

49.80 

62.39 

50.07 

80 

81 

63.83 

49.87 

63.  61 

50.15 

63.39 

50.42 

63.17 

50.70 

81 

82 

64.62 

50.48 

64.40 

50.77 

64.17 

51.05 

63.95 

51.33 

82 

83 

65.40 

51.10 

65.18 

51.38 

64.96 

51.  67 

64.73 

51.95 

83 

84 

66.19 

51.72 

65.97 

52.00 

65.74 

52.29 

65.51 

52.58 

84 

85 

66.98 

52.33 

66.75 

52.  62 

66.52 

52.91 

66.29 

53.20 

85 

86 

67.77 

52.95 

67.54 

53.24 

67.  30 

53.54 

67.  07 

53.83 

86 

87 

68.56 

53.  56 

68.32 

53.86 

68.09 

54.16 

67.85 

54.46 

87 

88 

69.  34 

54.18 

69.11 

54.48 

68.87 

54.78 

68.63 

55.08 

88 

89 

70.13 

54.79 

69.  89 

55.10 

69.65 

55.40 

69.41 

55.71 

89 

90 

70.92 

55.41 

70.68 

55.72 

70.43 

56.  tt3 

70.19 

56.33 

90 

91 

71.71 

56.03 

71.46 

56.34 

71.22 

56.65 

70.97 

56.96 

91 

92 

72.50 

56.  (54 

72.25 

56.96 

72.00 

57.27 

71.75 

57.58 

92 

93 

73.29 

57.26 

73.03 

57.58 

72.78 

57.89 

72.53 

58.21 

93 

94 

74.07 

57.  87 

73.82 

58.19 

73.  57 

58.52 

73.31 

58.84 

94 

95 

74.86 

58.49 

;     74.  61 

58.81 

74.  35 

59.14 

74.09 

59.46 

95 

96 

75.65 

59.10 

75.39 

59.43 

75.13 

59.76 

74.87 

60.09 

96 

97 

76.44 

59.72 

76.  18 

60.05 

75.91 

60.38 

75.65 

60.71 

97 

98 

77.23 

60.33 

76.  96 

60.67 

76.70 

61.01 

76.43 

61.34 

98 

99 

78.01 

60.95 

77.  75 

61.29 

77.48 

61.  63 

77.21 

61.97 

99 

100 

78.80 

61.57 

78.53 

61.91 

78.26 

62.25 

77.99 

62.59 

100 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

o; 
I 

c3 

a 
p 

52°. 

51%°. 

51H°. 

51M°- 

a 

Q 

85 


TABLE  4.— TRAVERSE  TABLE. 


a 

39°. 

39M°- 

39>i°. 

39340. 

0 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

3 
o 
o> 

i 

0.78 

0.63 

0.77 

0.63 

0.77 

0.64 

0.77 

0.64 

1 

2 

1.55 

1.26 

1.55 

1.27 

1.54 

1.27 

1.54 

1.28 

2 

3 

2.33 

1.89 

2.32 

1.90 

2.31 

1.91 

2.31 

1.92 

3 

4 

3.11 

2.52 

3.10 

2.53 

3.09 

2.54 

3.08 

2.56 

4 

5 

3.89 

3.15 

3.87 

3.16 

3.80 

3.18 

3.84 

3.20 

5 

6 

4.66 

3.78 

4.65 

3.80 

4.63 

3.82 

4.61 

3.84 

0 

7 

5.44 

4.41 

5.42 

4.43 

5.40 

4.45 

5.38 

4.48 

7 

8 

6.22 

5.03 

6.20 

5.06 

6.17 

5.09 

6.15 

5.12 

8 

9 

6.99 

5.  66 

6.97 

5.69 

6.94 

5.72 

6.92 

5.75 

9 

10 

7.77 

6.29 

7.74 

6.33 

7.72 

6.36 

7.69 

6.39 

10 

11 

8.55 

6.92 

8.52 

6.96 

8.49 

7.00 

8.46 

7.03 

11 

12 

9.33 

7.55 

9.29 

7.59 

9.26 

7.63 

9.23 

7.07 

12 

13 

10.10 

8.18 

10.07 

8.23 

10.03 

8.27 

9.99 

8.31 

13 

14 

10.88 

8.81 

10.84 

8.86 

10.80 

8.91 

10.  76 

8.95 

14 

15 

11.  66 

9.44 

11.62 

9.49 

11.57 

9.54 

11.53 

9.59 

IS 

10 

12.43 

10.07 

12.39 

10.12 

12.35 

10.18 

12.30 

10.  23 

10 

17 

13.21 

10.70 

13.16 

10.76 

13.12 

10.81 

13.  07 

10.87 

17 

18 

13.99 

11.33 

13.94 

11.39 

13.89 

11.45 

13.84 

11.51 

18 

19 

14.77 

11.96 

14.71 

12.  02 

14.  66 

12.09 

14.61 

12.15 

19 

20 

15.54 

12.59 

15.49 

12.65 

15.43 

12.72 

15.38 

12.79 

20 

21 

16.32 

13.22 

16.26 

13.29 

16.  20 

13.36 

16.15 

13.43 

21 

22 

17.10 

13.85 

17.04 

13.92 

16.98 

13.99 

10.91 

14.07 

22 

23 

17.87 

14.47 

17.81 

14.55 

17.75 

14.63 

17.68 

14.71 

23 

21 

18.65 

15.10 

18.59 

15.  18 

18.52 

15.27 

18.45 

15.  35 

24 

25 

19.  43 

15.73 

19.36 

15.82 

19.29 

15.90 

19.22 

15.99 

25 

26 

20.21 

16.36 

20.  13 

16.45 

20.  00 

16.54 

19.99 

16.  63 

26 

27 

20.98 

16.99 

20.91 

17.08 

20.83 

17.17 

20.76 

17.26 

27 

28 

21.76 

17.62 

21.  68 

17.72 

21.  61 

17.81 

21.  53 

17.90 

28 

29 

22.54 

18.25 

22.46 

18.35 

22.38 

18.45 

22.30 

18.  54 

29 

30 

23.31 

18.88 

23.  23 

18.98 

23.15 

19.08 

23.07 

19.18 

30 

31 

24.09 

19.51 

24.01 

19.  61 

23.92 

19.72 

23.83 

19.82 

31 

32 

24.87 

20.14 

24.78 

20.25 

24.  69 

20.35 

24.  00 

20.  46 

32 

33 

25.65 

20.77 

25.55 

20.88 

25.46 

20.99 

25.37 

21.10 

33 

34 

20.42 

21.40 

26.33 

21.51 

26.24 

21.  03 

26.  14 

21.74 

34 

35 

27.20 

22.03 

27.10 

22.14 

27.01 

22.26 

26.  91 

22.  38 

35 

30 

27.98 

22.  66 

27.88 

22.78 

27.78 

22.90 

27.  08 

23.02 

36 

37 

28.75 

23.28 

28.65 

23.41 

28.55 

23.53 

28.45 

23.  (16 

37 

38 

29.  53 

23.91 

29.43 

24.04 

29.32 

24.17 

29.  22 

24.30 

38 

39 

30.31 

24.54 

30.20 

24.  68 

30.09 

24.81 

29.98 

24.94 

39 

40 

31.09 

25.17 

30.98 

25.31 

30.86 

25.44 

30.75 

25.58 

40 

41 

31.86 

25.80 

31.75 

25.94 

31.64 

26.  08 

31.52 

20.22 

41 

42 

32.64 

26.43 

32.52 

26.57 

32.  41 

26.72 

32.  29 

20.  86 

42 

43 

33.42 

27.06 

33.30 

27.21 

33.18 

27.35 

33.06 

27.50 

43 

44 

34.19 

27.69 

34.07 

27.84 

33.95 

27.99 

33.83 

28.  14 

44 

45 

34.97 

28.32 

34.85 

28.47 

34.72 

28.  02 

34.  GO 

28.  77 

45 

46 

35.75 

28.95 

35.  G2 

29.10 

35.49 

29.  26 

35.  37 

29.41 

46 

47 

36.53 

29.  58 

36.  40 

29.74 

30.  27 

29.90 

36.14 

30.05 

47 

48 

37.30 

30.21 

37.17 

30.  37 

37.  04 

30.53 

30.90 

30.  C9 

48 

49 

38.08 

30.  84 

37.95 

31.00 

37.81 

31.17 

37.  67 

31.33 

49 

50 

38.86 

31.47 

38.72 

31.  64 

38.58 

31.80 

38.44 

31.97 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

5 

51°. 

50%°. 

50^°. 

50M° 

ft 

86 


TABLE  4.— TRAVERSE  TABLE. 


0 

39°. 

39M°- 

39^°. 

39%°. 

G 

" 

w.' 

f? 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

p 

i 

51 

39.63 

32.10 

39.49 

32.27 

39.35 

32.44 

39.21 

32.61 

51 

52 

40.41 

32.  72 

40.27 

32.90 

40.12 

33.08 

39.98 

33.25 

52 

53 

41.19 

33.35 

41.04 

33.53 

40.90 

33.71 

40.  75 

33.89 

53 

54 

41.97 

33.98 

41.82 

34.17 

41.67 

34.35 

41.52 

34.53 

54 

55 

42.74 

34.61 

42.59 

34.80 

42.  44 

34.98 

42.29 

35.17 

55 

50 

43.52 

35.24 

43.37 

35.  43 

43.21 

35.62 

43.06 

35.81 

56 

57 

44.30 

35.87 

44.14 

36.06 

43.98 

36.26 

43.82 

36.45 

57 

58 

45.07 

36.  50 

44.91 

36.70 

44.75 

36.89 

44.59 

37.09 

58 

59 

45.85 

37.13 

45.69 

37.33 

45.53 

37.53 

45.36 

37.73 

59 

CO 

46.63 

37.76 

46.46 

37.96 

46.30 

38.16 

46.13 

38.37 

60 

01 

47.41 

38.39 

47.24 

38.60 

47.07 

38.80 

46.90 

39.01 

61 

62 

48.18 

39.02 

48.01 

39.23 

47.84 

39.44 

47.67 

39.  65 

62   : 

63 

48.96 

39.  65 

48.79 

39.86 

48.61 

40.07 

48.44 

40.28 

63 

64 

49.74 

40.28 

49.56 

40.49 

49.38 

40.71 

49.21 

40.  92 

64 

65 

50.51 

40.91 

50.  34 

41.13 

50.16 

41.35 

49.97 

41.56 

65 

60 

51.29 

41.54 

51.11 

41.76 

50.93 

41.98 

50.74 

42.20 

66 

67 

52.07 

42.16 

51.88 

42.39 

51.70 

42.  02 

51.51 

42.84 

67 

68 

52.85 

42.79 

52.66 

43.02 

52.47 

43.25 

52.28 

43.48 

68 

69 

53.62 

43.42 

53.43 

43.66 

53.24 

43.89 

53.  05 

44.12 

69 

70 

54.40 

44.05 

54.21 

44.29 

54.01 

44.53 

53.82 

44.76 

70 

71 

55.18 

44.68 

54.98 

44.92 

54.79 

45.16 

54.59 

45.40 

71 

72 

55.95 

45.  31 

55.76 

45.55 

55.56 

45.80 

55.36 

46.04 

72 

73 

56.73 

45.94 

56.  53 

46.19 

56.33 

46.  43 

56.13 

46.68 

73 

74 

57.51 

46.  57 

57.31 

46.82 

57.10 

47.07 

56.  89 

47.32 

74 

75 

58.29 

47.20 

58.  08 

47.  45 

57.87 

47.71 

57.  66 

47.96 

75 

76 

59.  06 

47.83 

58.85 

48.09 

58.64 

48.34 

58.43 

48.60 

76 

77 

59.84 

48.46 

59.63 

48.72 

59.42 

48.98 

59.20 

49.24 

77 

78 

60.  62 

49.09 

60.40 

49.35 

60.19 

49.  61 

59.97 

49.88 

78 

79 

61.39 

49.72 

61.18 

49.98 

60.96 

50.25 

60.74 

50.52 

79 

80 

62.17 

50.35 

61.95 

50.62 

61.73 

50.89 

61.51 

51.16 

80 

81 

62.95 

50.97 

62.73 

51.25 

62.50 

51.52 

62.28 

51.79 

81 

82 

63.73 

51.60 

63.50 

51.88 

63.27 

52.16 

63.04 

52.43 

82 

83 

64.  .50 

52.  23 

64.27 

52.51 

64.  04 

52.79 

63.81 

53.07 

83 

84 

65.28 

52.86 

65.  05 

53.15 

64.82 

53.43 

64.58 

53.71 

84 

85 

66.06 

53.49 

65.82 

53.78 

65.59 

54.07 

65.35 

54.35 

85 

86 

66.83 

54.12 

66.60 

54.41 

66.36 

54.70 

66.12 

54.  99 

86 

87 

67.  61 

54.75 

67.  37 

55.05 

67.13 

55.34 

66.89 

55.  63 

87 

88 

68.39 

55.38 

68.15 

55.68 

67.90 

55.97 

67.66 

56.27 

88 

89 

69.17 

56.01 

68.92 

56.  31 

68.67 

56.  61 

68.43 

56.91 

89 

90 

69.94 

56.64 

69.70 

56.94 

69.45 

57.25 

69.20 

57.55 

90 

91 

70.72 

57.27 

70.47 

57.58 

70.22 

57.88 

69.96 

58.19 

91 

92 

71.50 

57.90 

71.24 

58.21 

70.99 

58.52 

70.73 

58.83 

92 

93 

72.27 

58.  53 

72.02 

58.84 

71.76 

59.16 

71.50 

59.47 

93 

94 

73.05 

59.16 

72.79 

59.47 

72.53 

59.79 

72.27 

60.11 

94 

95 

73.83 

59.79 

73.57 

60.11 

73.30 

60.43 

73.  04 

60.75 

95 

96 

74.61 

60.41 

74.34 

60.74 

74.08 

61.06 

73.81 

61.39 

96 

97 

75.38 

61.04 

75.12 

61.37 

74.85 

61.70 

74.58 

62.  03 

97 

98 

76.16 

61.  67 

75.89 

62.  01 

75.62 

62.34 

75.  35 

62.67 

98 

99 

76.94 

62.  30 

76.66 

62.  64 

76.39 

62.97 

76.  12 

63.30 

99 

100 

77.71 

62.93 

77.44 

63.27 

77.16 

63.61 

76.88 

63.94 

100 

8 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

I 

§ 

S3 

p 

51°. 

50%°. 

50^°. 

50^°. 

1 

87 


TABLE  4.— TRAVERSE  TABLE. 


2 

40 

o. 

40> 

r. 

40> 

ft 

40? 

P- 

2 

r^ 

K 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 
I 

1 

0.77 

0.64 

0.76 

0.65 

0.76 

0.65 

0.76 

0.65 

1 

2 

1.53 

1.29 

1.53 

1.29 

1.52 

1.30 

1.52 

1.31 

2 

3 

2.30 

1.93 

2.29 

1.94 

2.28 

1.95 

2.27 

1.96 

3 

4 

3.06 

2.57 

3.05 

2.58 

3.04 

2.60 

3.03 

2.61 

4 

5 

3.83 

3.21 

3.82 

3.23 

3.80 

3.25 

3.79 

3.26 

5 

6 

4.60 

3.86 

4.58 

3.88 

4.56 

3.90 

4.55 

3.92 

6 

7 

5.36 

4.50 

5.34 

4.52 

5.32 

4.55 

5.30 

4.57 

7 

8 

6.13 

5.14 

6.11 

5.17 

6.08 

5.20 

6.06 

5.22 

8 

9 

6.89 

5.79 

6.87 

5.82 

6.84 

5.85 

6.82 

5.87 

9 

10 

7.66 

6.43 

7.63 

6.46 

7.60 

6.49 

7.58 

6.53 

10 

11 

8.43 

7.07 

8.40 

7.11 

8.36 

7.14 

8.33 

7.18 

11 

12 

9.19 

7.71 

9.16 

7.75 

9.12 

7.79 

9.09 

7.83 

12 

13 

9.96 

8.36 

9.92 

8.40 

9.89 

8.44 

9.85 

8.49 

13 

14 

10.72 

9.00 

10.  69 

9.05 

10.65 

9.09 

10.61 

9.14 

14 

15 

11.49 

9.64 

11.45 

9.69 

11.41 

9.74 

11.36 

9.79 

15 

16 

12.26 

10.28 

12.21 

10.34 

12.17 

10.39 

12.12 

10.44 

16 

17 

13.02 

10.93 

12.97 

10.98 

12.93 

11.04 

12.88 

11.10 

17 

18 

13.79 

11.57 

13.74 

11.63 

13.69 

11.  69 

13.  64 

11.75 

18 

19 

14.55 

12.21 

14.50 

12.28 

14.45 

12.34 

14.39 

12.40 

19 

20 

15.32 

12.86 

15.26 

12.92 

15.21 

12.99 

15.15 

13.06 

20 

21 

16.09 

13.50 

16.03 

13.57 

15.97 

13.64 

15.91 

13.71 

21 

22 

16.85 

14.14 

16.79 

14.21 

16.73 

14.  29 

16.  67 

14.36 

22 

23 

17.62 

14.78 

17.55 

14.86 

17.49 

14.94 

17.42 

15.01 

23 

24 

18.39 

15.43 

18.32 

15.51 

18.25 

15.59 

18.18 

15.67 

24 

25 

19.15 

16.07 

19.08 

16.15 

19.01 

16.24 

18.94 

16.32 

25 

26 

19.92 

16.71 

19.84 

16.80 

19.77 

16.89 

19.70 

16.97 

26 

27 

20.68 

17.36 

20.61 

17.45 

20.53 

17.54 

20.  45 

17.62 

27 

28 

21.45 

18.00 

21.37 

18.09 

21.29 

18.  18 

21.21 

18.28 

28 

29 

22.22 

18.64 

22.13 

18.74 

22.05 

18.83 

21.97 

18.93 

29 

30 

22.98 

19.28 

22.90 

19.38 

22.81 

19.48 

22.  73 

19.58 

30 

31 

23.75 

19.  93 

23.66 

20.03 

23.57 

20.13 

23.48 

20.24 

31 

32 

24.51 

20.57 

24.42 

•   20.68 

24.33 

20.78 

24.24 

20.89 

32 

33 

25.28 

21.21 

25.19 

21.32 

25.09 

21.43 

25.00 

21.54 

33 

34 

26.05 

21.85 

25.95 

21.97 

25.85 

22.08 

25.76 

22.19 

34 

35 

26.81 

22.50 

26.71 

22.  61 

26.61 

22.73 

26.51 

22.85 

35 

36 

27.58 

23.14 

27.  48 

23.26 

27.37 

23.38 

27.27 

23.50 

36 

37 

28.34 

23.78 

28.24 

23.91 

28.14 

24.  03 

28.03 

24.15 

37 

38 

29.11 

24.43 

29.00 

24.55 

28.90 

24.68 

28.79 

24.80 

38 

39 

29.88 

25.07 

29.77 

25.20 

29.66 

25.33 

29.55 

25.46 

39 

40 

30.64 

25.71 

30.53 

25.84 

30.42 

25.98 

30.30 

26.11 

40 

41 

31.41 

26.35 

31.29 

26.49 

31.18 

26.63 

31.06 

26.76 

41 

42 

32.17 

27.00 

32.06 

27.  14 

31.94 

27.28 

31.82 

27.42 

42 

43 

32.94 

27.04 

32.  82 

27.78 

32.70 

27.93 

32.58 

28.07 

43 

44 

33.71 

28.28 

33.58 

28  43 

33.  46 

28.58 

33.33 

28.72 

44 

45 

34.47 

28.93 

34.35 

29.08 

34.22 

29.  23 

34.09 

29.37 

45 

46 

35.24 

29.57 

35.11 

29.72 

34.98 

29.87 

34.85 

30.  03 

46 

47 

36.00 

30.21 

35.87 

30.37 

35.74 

30.52 

35.61 

30.68 

47 

48 

36.77 

30.85 

36.64 

31.01 

36.50 

31.17 

36.36 

31.33 

48 

49 

37.54 

31.50 

37.40 

31.  66 

37.26 

31.82 

37.12 

31.99 

49 

50 

38.30 

32.14 

38.16 

32.31 

38.02 

32.47 

37.88 

32.64 

50 

s 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

o 

I 

c 

-2 

5( 

°. 

495 

49i 

/2°- 

49J 

4°. 

1 

P 

88 


TABLE  4. -TRAVERSE  TABLE. 


b 
| 

40°. 

40M°. 

40^°. 

40%°. 

0 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

51 

39.07 

32.78 

38.92 

32.95 

38.78 

33.12 

38.64 

33.29 

51 

52 

39.83 

33.  42 

39.  69 

33.60 

39.54 

33.77 

39.39 

33.94 

52 

53 

40.60 

34.07 

40.45 

34.24 

40.  30 

34.42 

40.15 

34.60 

53 

54 

41.37 

34.71 

41.21 

34.89 

41.  06 

35.07 

40.  91 

35.  25 

54 

55 

42.13 

35.35 

41.98 

35.54 

41.82 

35.72 

41.67 

35.  90 

55 

56 

42.90 

36.00 

42.74 

36.  18 

42.58 

30.37 

42.42 

30.  55 

56 

57 

43.66 

36.64 

43.50 

36.  83 

43.34 

37.02 

43.18 

37.21 

57 

58 

44.43 

37.28 

44.27 

37.48 

44.10 

37.  67 

43.94 

37.  86 

58 

59 

45.20 

37.92 

45.03 

38.12 

44.86 

38.32 

44.70 

38.51 

59 

60 

45.96 

38.57 

45.79 

38.77 

45.62 

38.97 

45.45 

39.17 

60 

61 

46.73 

39.21 

46.56 

39.41 

40.38 

39.62 

46.21 

39.82 

61 

62 

47.49 

39.85 

47.32 

40.06 

47.15 

40.27 

46.  97 

40.47 

62 

63 

48.26 

40.50 

48.08 

40.  71 

47.91 

40.92 

47.73 

41.12 

63 

64 

49.03 

41.14 

48.85 

41.35 

48.67 

41.56 

48.48 

41.78 

64 

65 

49.79 

41.78 

49.61 

42.00 

49.43 

42.21 

49.24 

42.43 

65 

66 

50.56 

42.42 

50.37 

42.  64 

50.19 

42.86 

50.00 

43.  OS 

66 

67 

51.32 

43.07 

51.14 

43.  29 

50.95 

43.51 

50.76 

43.73 

67 

68 

52.09 

43.71 

51.90 

43.94 

51.71 

44.16 

51.51 

44.  39 

68 

69 

52.86 

44.35 

52.  66 

44.58 

52.47 

44.81 

52.27 

45.  04 

69 

70 

53.62 

45.00 

53.43 

45.23 

53.23 

45.46 

53.03 

45.69 

70 

71 

54.  39 

45.  04 

54.19 

45.87 

53.99 

46.11 

53.79 

46.35 

71 

72 

55.  16 

46.28 

54.95 

46.52 

54.75 

46.76 

54.54 

47.00 

72 

73 

55.92 

40.92 

55.72 

47.17 

55.51 

47.41 

55.30 

47.65 

73 

74 

56.  69 

47.57 

56.48 

47.81 

56.27 

48.06 

56.06 

48.30 

74 

75 

57.45 

48.21 

57.24 

48.46 

57.03 

48.71 

56.82 

48.  96 

75 

76 

58.22 

48.85 

58.01 

49.11 

57.  79 

49.36 

57.57 

49.61 

76 

77 

58.99 

49.49 

58.77 

49.75 

58.55 

50.01 

58.33 

50.26 

77 

78 

59.75 

50.14 

59.53 

50.40 

59.31 

50.66 

59.  09 

50.92 

78 

79 

60.52 

50.78 

60.30 

51.04 

CO.  07 

51.31 

59.  85 

51.57 

79 

80 

61.28 

51.42 

61.06 

51.69 

60.83 

51.96 

60.61 

52.22 

80 

81 

62.05 

52.07 

61.82 

52.34 

61.  59 

52.  61 

61.36 

52.87 

81 

82 

62.82 

52.71 

62.59 

52.98 

62.  35 

53.25 

62.12 

53.53 

82 

83 

63.58 

53.35 

63.35 

53.63 

63.11 

53.90 

62.88 

54.18 

83 

84 

64.35 

53.99 

64.  11 

54.27 

63.87 

54.  55 

63.  64 

54.83 

84 

85 

65.11 

54.  G4 

04.  87 

54.92 

6-4.  03 

55.  20 

64.  39 

55.  48 

85 

86 

65.  8§ 

55.  28 

65.  64 

-•Bsrsr 

65.  39 

55.  85 

6.".  15 

~  mrtf 

~"ser 

87 

66.  C5 

55.  92 

66.40 

56.21 

66.  16 

56.  50 

65.91 

56.79 

87 

88 

67.  41 

56.  57 

67.16 

56.86 

66.  92 

57.15 

66.  07 

57.44 

88 

89 

68.18 

57.  21 

67.93 

57.51 

67.  68 

57.80 

67.42 

58.10 

89 

90 

C8.94 

57.85 

68.69 

58.15 

68.44 

58.45 

68.18 

58.75 

90 

91 

69.71 

58.49 

69.45 

58.80 

69.20 

59.10 

68.94 

59.40 

91 

92 

70.48 

59.14 

70.22 

59.44 

69.96 

59.  75 

69.70 

60.05 

92 

93 

71.24 

59.  78 

70.98 

60.09 

70.72 

60'.  40 

70.45 

60.71 

93 

94 

72.01 

60.42 

71.74 

60.  74 

71.48 

61.05 

71.21 

61.36 

94 

95 

72.77 

61.06 

72.51 

61.38 

72.24 

61.  70 

71.97 

62.01 

95 

96 

73.54 

61.71 

73.27 

62.03 

73.00 

62.  35 

72.73 

62.  66 

96 

97 

74.31 

62.  35 

74.03 

62.67 

73.76 

63.00 

73.  48 

63.32 

97 

98 

75.  07 

62.99 

74.80 

63.32 

74.52 

63.65 

74.24 

63.  97 

98 

99 

75.84 

63.  64 

75.56 

63.97 

75.28 

64.30 

75.00 

64.62 

99 

100 

76.60 

64.28 

76.32 

64.61 

76.04 

64.94 

75.76 

65.28 

100 

d 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

% 

ft 

50°. 

me- 

49^°. 

49M°. 

P 

TABLE  4.— TRAVERSE  TABLE. 


g 

41°. 

41W. 

4W. 

41^°. 

0 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0.75 

0.66 

0.75 

0.66 

0.75 

0.66 

0.75 

0.  67 

1 

2 

1.51 

1.31 

1.50 

1.32 

1.50 

1.33 

1.49 

1.33 

2 

3 

2.26 

1.97 

2.26 

1.98 

2.25 

1.99 

2.24 

2.00 

3 

4 

3.02 

2.62 

3.01 

2.64 

3.00 

2.65 

2.98 

2.66 

4 

5 

3.77 

3.28 

3.76 

3.30 

3.74 

3.31 

3.73 

3.33 

5 

6 

4.53 

3.94 

4.51 

3.96 

4.49 

3.98 

4.48 

4.00 

6 

7 

5.28 

4.59 

5.26 

4.62 

5.24 

4.64 

5.22 

4.66 

7 

g 

6.04 

5.25 

6.01 

5.27 

5.99 

5.30 

5.97 

5.33 

8 

9 

6.79 

5.90 

6.77 

5.93 

6.74 

5.96 

6.71 

5.99 

9 

10 

7.55 

6.56 

7.52 

6.59 

7.49 

6.63 

7.46 

6.66 

10 

11 

8.30 

7.22 

8.27 

7.25 

8.24 

7.29 

8.21 

7.32 

11 

12 

9.06 

7.87 

9.02 

7.91 

8.99 

7.95 

8.95 

7.99 

12 

13 

9.81 

8.53 

9.77 

8.57 

9.74 

8.61 

9.70 

8.66 

13 

14 

10.57 

9.18 

10.  53 

9.23 

10.49 

9.28 

10.44 

9.32 

14 

15 

11.32 

9.84 

11.28 

9.89 

11.23 

9.94 

11.19 

9.99 

15 

16 

12.08 

10.50 

12.03 

10.55 

11.98 

10.60 

11.91 

10.05 

16 

17 

12.83 

11.15 

12.78 

11.21 

12.73 

11.26 

12.68 

11.32 

17 

18 

13.58 

11.81 

13.53 

11.87 

13.48 

11.93 

13.43 

11.99 

18 

19 

14.34 

12.47 

14.28 

12.53 

14.23 

12.59 

14.18 

12.  65 

19 

20 

15.09 

13.12 

15.04 

13.19 

14.98 

13.25 

14.92 

13.32 

20 

21 

15.85 

13.78 

15.79 

13.85 

15.73 

13.92 

15.  67 

13.98 

21 

22 

16.  60 

14.43 

16.  54 

14.51 

16.  48 

14.58 

16.41 

14.  65 

22 

23 

17.36 

15.09 

17.29 

15.16 

17.23 

15.24 

17.16 

15.32 

23 

24 

18.11 

15.75 

18.04 

15.82 

17.97 

15.90 

17.91 

15.98 

24 

25 

18.87 

16.  40 

18.80 

16.48 

18.72 

16.57 

18.  65 

16.65 

25 

26 

19.  62 

17.06 

19.55 

17.14 

19.47 

17.23 

19.40 

17.31 

26 

27 

20.38 

17.71 

20.30 

17.80 

20.22 

17.89 

20.14 

17.98 

27 

28 

21.13 

18.  37 

21.05 

18.  46 

20.97 

18.55 

20.89 

18.64 

28 

29 

21.89 

19.03 

21.80 

19.12 

21.72 

19.22 

21.64 

19.31 

29 

30 

22.64 

19.68 

22.56 

19.78 

22.47 

19.88 

22.38 

19.98 

30 

31 

23.40 

20.34 

23.31 

20.44 

23.22 

20.54 

23.13 

20.64 

31 

32 

24.15 

20.99 

24.06 

21.10 

23.97 

21.20 

23.87 

21.31 

32 

33 

24.91 

21.65 

24.81 

21.76 

24.72 

21.87 

24.62 

21.97 

33 

34 

25.66 

22.31 

25.  56 

22.42 

25.  46 

22.53 

25.37 

22.  64 

34 

35 

26.41 

22.96 

26.31 

23.08 

26.21 

23.19 

26.  11 

23.31 

35 

36 

27.17 

23.  62 

27.07 

23.74 

26.96 

23.85 

26.  86 

23.97 

36 

37 

27.92 

24.27 

27.82 

24.40 

27.71 

24.52 

27.  60 

24.64 

37 

38 

28.  68 

24.93 

28.57 

25.06 

28.46 

25.18 

28.  35 

25.30 

38 

39 

29.43 

25.59 

29.32 

25.71 

29.21 

25.84 

29.10 

25.  97 

39 

40 

30.19 

26.24 

30.07 

26.37 

29.96 

26.  50 

29.84 

26.64 

40 

41 

30.94 

26.  90 

30.83 

27.03 

30.71 

27.17 

30.59 

27.30 

41 

42 

31.70 

27.  55 

31.58 

27.69 

31.46 

27.83 

31.33 

27.97 

42 

43 

32.45 

28.  21 

32.33 

28.35 

32.21 

28.49 

32.08 

28.  (53 

43 

44 

33.21 

28.87 

33.  08 

29.01 

32.95 

29.16 

32.83 

29.30 

44 

45 

33.  96 

29.52 

33.83 

29.67 

33.70 

29.82 

33.57 

29.97 

45 

46 

34.72 

30.18 

34.  58 

30.33 

34.  45 

30.48 

34.32 

30.  (3 

46 

47 

35.47 

30.83 

35.34 

30.99 

35.  20 

31.14 

35.06 

31.30 

47 

48 

36.23 

31.49 

36.  09 

31.65 

35.95 

31.81 

35.81 

31.96 

48 

49 

36.98 

32.15 

36.84 

32.  31 

36.  70 

32.47 

36.  56 

32.  63 

49 

50 

37.74 

32.80 

37.59 

32.  97 

37.45 

33.13 

37.30 

33.29 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

s 

I 

49°. 

48^°. 

48X2°. 

48M°- 

5 

90 


TABLE  4.— TRAVERSE  TABLE. 


g 

41°. 

«#•• 

41J^°. 

41%°. 

b 

K 

I 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

38.49 

33.46 

38.  34 

33.63 

38.20 

33.79 

38.05 

33.96 

51 

52 

39.24 

34.12 

39.  10 

34.29 

38.95 

34.  46 

38.79 

34.63 

52 

53 

40.00 

34.77 

39.85 

34.95 

39.69 

35.12 

39.54 

35.29 

53 

54 

40.75 

35.43 

40.60 

35.60 

40.44 

35.78 

40.29 

35.96 

54 

55 

41.51 

36.  08 

41.35 

36.26 

41.19 

36.44 

41.03 

36.62 

55 

56 

42.26 

36.74 

42.10 

36.  92 

41.94 

37.11 

41.78 

37.29 

56 

57 

43.02 

37.  40 

42.85 

37.58 

42.  69 

37.77 

42.53 

37.96 

57 

58 

43.77 

38.  05 

43.61 

38.24 

43.44 

38.43 

43.  27 

38.  62 

58 

59 

44.53 

38.71 

44.  36 

38.90 

44.19 

39.09 

44.02 

39.  29 

59 

GO 

45.28 

39.36 

45.11 

39.56 

44.94 

39.76 

44.76 

39.95 

60 

61 

46.04 

40.02 

45.86 

40.22 

45.  69 

40.42 

45.51 

40.62 

61 

62 

46.79 

40.68 

46.  61 

40.88 

46.44 

41.08 

46.26 

41.28 

62 

63 

47.  55 

41.  33 

47.37 

41.54 

47.18 

41.75 

47.00 

41.95 

63 

64 

48.  30 

41.99 

48.12 

42.20 

47.93 

42.41 

47.75 

42.62 

64 

65 

49.  06 

42.64 

48.87 

42.86 

48.68 

43.07 

48.49 

43.28 

65 

66 

49.81 

43.30 

49.  62 

43.  52 

49.43 

43.73 

49.24 

43.95 

66 

67 

50.57 

43.  96 

50.37 

44.18 

50.18 

44.40 

49.99 

44.61 

67 

68 

51.32 

44.61 

51.13 

44.84 

50.  93 

45.06 

50.  73 

45.28 

68 

69 

52.  07 

45.27 

51.88 

45.49 

51.68 

45.  72 

51.48 

45.  95 

69 

70 

52.83 

45.92 

52.63 

46.15 

52.43 

46.38 

52.  22 

46.61 

70 

71 

53.58 

46.58 

53.38 

46.81 

53.18 

47.05 

52.97 

47.28 

71 

72 

54.34 

47.24 

54.13 

47.47 

53.92 

47.71 

53.72 

47.  94 

72 

73 

55.  09 

47.89 

54.88 

48.  13 

54.67 

48.  37 

54.  46 

48.  61 

73 

74 

55.85 

48.  55 

55.  64 

48.79 

55.42 

49.03 

55.21 

49.28 

74 

75 

56.  60 

49.20 

56.39 

49.45 

56.  17 

49.70 

55.95 

49.94 

75 

76 

57.  :«5 

49.86 

57.14 

50.11 

56.92 

50.  36 

56.  70 

50.  61 

76 

77 

58.  11 

50.  52 

57.89 

50.77 

57.  67 

51.02 

57.45 

51.27 

77 

78 

58.87 

51.17 

58.64 

51.  43 

58.42 

51.  68 

58.19 

51.94 

78 

79 

59.62 

51.83 

59.40 

52.09 

59.17 

52.35 

58.94 

52.  60 

79 

80 

60.38 

52.48 

60.15 

52.75 

59.92 

53.01 

59.68 

53.27 

80 

81 

61.13 

53.14 

60.90 

53.41 

60.67 

53.67 

60.43 

53.94 

81 

82 

61.89 

53.80 

61.65 

54.07 

61.41 

54.33 

61.18 

54.60 

82 

83 

62.64 

54.45 

62.40 

54.73 

62.16 

55.00 

61.92 

55.27 

83 

84 

63.40 

55.  11 

63.15 

55.39 

62.  91 

55.66 

62.67 

55.93 

84 

85 

64.15 

55.77 

63.91 

56.  04 

63.66 

56.32 

63.41 

56.  60 

85 

86 

64.91 

56.42 

64.66 

56.70 

64.41 

56.99 

64.16 

57.  27 

86 

87 

65.  66 

57.08 

65.41 

57.  36 

65.16 

57.65 

64.91 

57.93 

87 

88 

66.  41 

57.  73 

66.  16 

58.02 

65.91 

58.31 

65.65 

58.60 

88 

89 

67.  17 

58.  39 

66.91 

58.  68 

66.66 

58.97 

66.40 

59.26 

89 

90 

67.92 

59.05 

67.  67 

59.34 

67.41 

59.64 

67.15 

59.93 

90 

91 

68.  68 

59.70 

68.42 

60.00 

68.15 

60.30 

67.89 

60.60 

91 

92 

69.  43 

60.36 

69.17 

60.  66 

68.90 

60.96 

68.  64 

61.  26 

92 

93 

70.19 

61.  01 

69.  92 

61.32 

69.05 

91.62 

G9.38 

61.93 

93 

94 

70.  91 

61.  67 

70.67 

61.98 

70.40 

62.  29 

70.13 

62.  59 

94 

95 

71.70 

62.  33 

71.43 

62.64 

71.15 

62.95 

70.88 

63.  26 

95 

96 

72.45 

62.98 

72.18 

63.30 

71.90 

63.61 

71.62 

63.  92 

96 

97 

73.21 

63.64 

72.93 

63.  96 

72.65 

64.27 

72.37 

64.59 

97 

98 

73.96 

64.29 

73.68 

64.62 

73.40 

64.94 

73.11 

65.26 

98 

99 

74.72 

64.95 

74.  43 

65.28 

74.15 

65.60 

73.86 

65.92 

99 

100 

75.47 

65.61 

75.18 

65.93 

74.90 

66.26 

74.  61 

66.59 

100 

§ 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

g 

1 

3 

p 

49°. 

48%°. 

48K°- 

48J4°. 

"on 

s 

91 


TABLE  4. -TRAVERSE  TABLE. 


b 

F 

42°. 

42^°. 

42^°. 

42%°. 

b 
ET 

P" 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

B 

i 

0.74 

0.67 

0.74 

0.67 

0.74 

0.68 

0.73 

0.68 

i 

2 

1.49 

1.34 

1.48 

1.34 

1.47 

1.35 

1.47 

1.36 

2 

3 

2.23 

2.01 

2.22 

2.02 

2.21 

2.03 

2.20 

2.04 

3 

4 

2.97 

2.68 

2.96 

2.69 

2.95 

2.70 

2.94 

2.72 

4 

5 

3.72 

3.35 

3.70 

3.36 

3.69 

3.38 

3.  67 

3.39 

5 

6 

4.46 

4.01 

4.44 

4.03 

4.42 

4.05 

4.41 

4.07 

6 

7 

5.20 

4.68 

5.18 

4.71 

5.16 

4.73 

5.14 

4.75 

7 

8 

5.95 

5.35 

5.92 

5.38 

5.90 

5.40 

5.87 

5.43 

8 

9 

6.69 

6.02 

6.66 

6.05 

6.64 

6.08 

6.61 

6.11 

9 

10 

7.43 

6.69 

7.40 

6.72 

7.37 

6.76 

7.34 

6.79 

10 

11 

8.17 

7.36 

8.14 

7.40 

8.11 

7.43 

8.08 

7.47 

11 

12 

8.92 

8.03 

8.88 

8.07 

8.85 

8.11 

8.81 

8.15 

12 

13 

9.66 

8.70 

9.62 

8.74 

9.58 

8.78 

9.55 

8.82 

13 

14 

10.40 

9.37 

10.36 

9.41 

10.32 

9.46 

10.28 

9.50 

14 

15 

11.15 

10.04 

11.10 

10.09 

11.  06 

10.  13 

11.01 

10.18 

15 

16 

11.89 

10.71 

11.84 

10.  76 

11.80 

10.81 

11.75 

10.86 

16 

17 

12.  63 

11.38 

12.  58 

11.43 

12.53 

11.  49 

12.48 

11.54 

17 

18 

13.38 

12.04 

13.  32 

12.10 

13.27 

12.  16 

13.22 

12.  22 

18 

19 

14.12 

12.71 

14.06 

12.77 

14.01 

12.84 

13.95 

12.90 

19 

20 

14.86 

13.38 

14.80 

13.  45 

14.75 

13.51 

14.69 

13.58 

20 

21 

15.61 

14.05 

15.54 

14.12 

15.48 

14.19 

15.42 

14.25 

21 

22 

16.  35 

14.72 

16.28 

14.79 

16.22 

14.86 

1(5.  16 

14.93 

22 

23 

17.09 

15.39 

17.03 

15.  46 

16.  96 

15.54 

16.89 

15.61 

23 

24 

17.84 

16.  06 

17.77 

16.  14 

17.  69 

16.  21 

17.  62 

16.29 

24 

25 

18.58 

16.73 

18.51 

16.81 

18.43 

16.89 

18.36 

16.97 

25 

26 

19.  32 

17.40 

19.25 

17.48 

19.  17 

17.57 

19.09 

17.  65 

26 

27 

20.06 

18.  07 

19.99 

18.15 

19.91 

18.24 

19.83 

18.  33 

27 

28 

20.81 

18.74 

20.73 

18.83 

20.64 

18.92 

20.  56 

19.01 

28 

29 

21.  55 

19.40 

21.47 

19.50 

21.38 

19.59 

21.30 

19.  f>9 

29 

30 

22.29 

20.07 

22.21 

20.17 

22.12 

20.27 

22.03 

20.36 

30 

31 

23.04 

20.74 

22.95 

20.84 

22.86 

20.94 

22.  76 

21.04 

31 

32 

23.  78 

21.41 

23.  69 

21.52 

23.59 

21.  62 

23.50 

21.72 

32 

33 

24.52 

22.08 

24.43 

22.  19 

24.33 

22.29 

24.23 

22.40 

33 

34 

25.27 

22.75 

25.17 

22.86 

25.07 

22.97 

24.  97 

23.08 

34 

35 

26.01 

23.42 

25.91 

23.53 

25.80 

23.65 

25.70 

23.76 

35 

36 

26.75 

24.09 

26.65 

24.21 

26.54 

24.32 

26.44 

24.  44 

36 

37 

27.50 

24.76 

27.39 

24.88 

27.28 

25.00 

27.17 

25.12 

37 

38 

28.24 

25.43 

28.13 

25.55 

28.02 

25.  67 

27.90 

25.79 

38 

39 

28.98 

26.10 

28.87 

26.22 

28.75 

26.  35 

28.64 

26.47 

39 

40 

29.73 

26.  77 

29.61 

26.89 

29.49 

27.02 

29.37 

27.15 

40 

41 

30.47 

27.43 

30.35 

27.57 

30.  23 

27.70 

30.11 

27.83 

41 

42 

31.  21 

28.10 

31.09 

28.24 

30.97 

28.37 

30.84 

28.51 

42 

43 

31.  96 

28.77 

31.83 

28.91 

31.70 

29.05 

31.58 

29.19 

43 

44 

32.70 

29.44 

32.  57 

29.58 

32.  44 

29.73 

32.31 

29.87 

44 

45 

33.44 

30.11 

33.  31 

30.26 

33.  18 

30.  -10 

33.04 

30.55 

45 

40 

34.18 

30.78 

34.  05 

30.93 

33.91 

31.08 

33.78 

31.22 

46 

47 

34.  93 

31.45 

34.  79 

31.60 

34.  65 

31.75 

34.51 

31.90 

47 

48 

35.  67 

32.  12 

35.53 

32.27 

35.  39 

32.  43 

35.  25 

32.58 

48 

49 

36.  41 

32.79 

36.27 

32.95 

36.  13 

33.  10 

35.98 

33.  26 

49 

50 

37.  16 

33.46 

37.01 

33.62 

36.  86 

33.78 

36.72 

33.94 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

OJ 

s 

48°. 

47M°. 

47?.40. 

47H°- 

s 

92 


TABLE  4.— TRAVERSE  TABLE. 


0 
55' 

B> 

42°. 

42>r- 

42^°. 

42*i°. 

U 
f 

§ 
P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

re 

51 

37.90 

34.  13 

37.75 

34.29 

37.00 

34.46 

37.45 

34.  62 

51 

52 

38.64 

34.79 

38.49 

34.96 

38.34 

35.13 

38.18 

35.30 

52 

53 

39.39 

35.46 

39.  23 

35.64 

39.03 

35.81 

38.92 

35.98 

53 

54 

40.13 

36.  13 

39.97 

36.  31 

39.81 

36.  48 

39.  65 

36.  66 

54 

55 

40.87 

36.80 

40.  71 

36.  98 

40.  55 

37.  16 

40.39 

37.  ?3 

55 

56 

41.62 

37.47 

41.45 

37.  65 

41.29 

37.83 

41.12 

38.01 

56 

57 

42.  36 

38.14 

42.19 

38.  32 

42.02 

38.51 

41.86 

38.69 

57 

58 

43.10 

38.81 

42.  93 

39.  00 

42.76 

39.18 

42.  59 

39.37 

58 

59 

43.85 

39.  48 

43.67 

39.  67 

43.50 

39.86 

43.  33 

40.05 

59 

60 

44.59 

40.15 

44.41 

40.  34 

44.24 

40.54 

44.06 

40.73 

60 

61 

45.  33 

40.82 

45.15 

41.01 

44.97 

41.21 

44.79 

41.41 

61 

62 

46.07 

41.49 

45.89 

41.69 

45.71 

41.89 

45.  53 

42.09 

62 

63 

46.  82 

42.  16 

46.63 

42.  30 

46.45 

42.56 

46.  26 

42.76 

63 

64 

47.  56 

42.82 

47.  37 

43.03 

47.19 

43.24 

47.00 

43.44 

64 

65 

48.  30 

43.  49 

48.11 

43.70 

47.92 

43.91 

47.73 

44.12 

65 

66 

49.05 

44.16 

48.85 

44.38 

48.66 

44.59 

48.47 

44.80 

66 

67 

49.79 

44.83 

49.59 

45.05 

49.40 

45.26 

49.  20 

45.48 

67 

68 

50.53 

45.50 

50.33 

45.  72 

50.13 

45.  94 

49.  93 

46.16 

68 

69 

51.28 

46.17 

51.08 

46.39 

50.87 

46.  62 

50.67 

46.84 

69 

70 

52.02 

46.84 

51.82 

47.07 

51.61 

47.29 

51.40 

47.52 

70 

71 

52.76 

47.51 

52.56 

47.74 

52.35 

47.97 

52.14 

48.19 

71 

72 

53.51 

48.18 

53.  30 

48.  41 

53.08 

48.64 

52.  87 

48.87 

72 

73 

54.  25 

48.85 

54.04 

49.08 

53.82 

49.  32 

53.61 

49.  55 

73 

74 

54.99 

49.52 

54.78 

49.76 

54.56 

49.99 

54.34 

50.23 

74 

75 

55.74 

50.  18 

55.52 

50.43 

55.30 

50.67 

55.07 

50.91 

75 

76 

56.48 

50.85 

56.26 

51.  10 

56.03 

51.34 

55.81 

51.59 

76 

77 

57.22 

51.52 

57.00 

51.77 

56.77 

52.02 

56.54 

52.27 

77 

78 

57.97 

52.19 

57.  74 

52.44 

57.51 

52.70 

57.  28 

52.95 

78 

79 

58.71 

52.  86 

58.48 

53.12 

58.24 

53.37 

58.01 

53.63 

79 

80 

59.45 

53.53 

59.  22 

53.79 

58.98 

54.05 

58.75 

54.30 

80 

81 

60.19 

54.20 

59.96 

54.46 

59.72 

54.72 

59.48 

54.98 

81 

82 

60.  94 

54.87 

60.70 

55.  13 

60.46 

55.40 

60.21 

55.66 

82 

83 

61.68 

55.54 

61.44 

55.81 

61.19 

56.07 

60.95 

56.34 

83 

84 

62.42 

50.21 

62.18 

56.48 

61.93 

56.75 

61.68 

57.02 

84 

85 

63.  17 

50.88 

62.92 

57.15 

62.  67 

57.43 

62.  42 

57.70 

85 

86 

63.91 

57.55 

63.  66 

57.82 

63.  41 

58.10 

63.  15 

58.38 

86 

87 

64.65 

58.21 

64.40 

58.50 

64.14 

58.78 

63.89 

59.06 

87 

88 

65.40 

58.88 

65.14 

59.17 

64.  88 

59.45 

64.62 

59.73 

88 

89 

66.14 

59.55 

65.88 

59.84 

65.62 

60.13 

65.35 

60.41 

89 

90 

66.88 

60.22 

66.62 

60.51 

66.35 

60.80 

66.09 

61.09 

90 

91 

67.63 

60.89 

67.36 

61.19 

67.09 

61.48 

66.82 

61.77 

91 

92 

68.37 

61.56 

68.10 

61.86 

67.83 

.62.  15 

67.  56 

62.45 

92 

93 

69.11 

62.23 

68.84 

62.53 

68.57 

62.83 

68.29 

63.13 

93 

94 

69.86 

62.90 

69.58 

63.20 

69.30 

63.51 

69.03 

63.81 

94 

95 

70.60 

63.57 

70.32 

63.87 

70.04 

64.18 

69.  76 

64.49 

95 

96 

71.34 

64.24 

71.06 

64.55 

70.78 

64.  86 

70.49 

65.16 

96 

97 

72.09 

64.  91 

71.80 

65.22 

71.52 

65.53 

71.23 

65.84 

97 

98 

72.83 

65.57 

72.54 

65.89 

72.25 

66.21 

71.96 

66.52 

98 

99 

73.57 

66.24 

73.28 

66.56 

72.99 

66.88 

72.70 

67.20 

99 

100 

74.31 

66.91 

74.02 

67.24 

73.73 

67.56 

73.43 

67.88 

100 

| 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

£3 

o 

B 

co 

tfl 

Q 

48°. 

47?r. 

47M°. 

47M°- 

5 

93 


TABLE  4.— TRAVERSE   TABLE. 


g 

43°. 

43M°- 

431^°. 

43^°. 

« 

K 

I 

I 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

i 

0.73 

0.68 

0.73 

0.69 

0.73 

0.69 

0.72 

0.69 

1 

2 

1.46 

1.36 

1.46 

1.37 

1.45 

1.38 

1.44 

1.38 

2 

3 

2.19 

2.05 

2.19 

2.06 

2.18 

2.07 

2.17 

2.07 

3 

4 

2.93 

2.73 

2.91 

2.74 

2.90 

2.75 

2.89 

2.77 

4 

5 

3.66 

3.41 

3.64 

3.43 

3.63 

3.44 

3.  61 

3.46 

5 

6 

4.39 

4.09 

4.37 

4.11 

4.35 

4.13 

4.33 

4.15 

6 

7 

5.12 

4.77 

5.10 

4.80 

5.08 

4.82 

5.06 

4.84 

7 

8 

5.85 

5.46 

5.83 

5.48 

5.80 

5.51 

5.  78 

5.53 

8 

9 

6.58 

6.14 

6.56 

6.17 

6.53 

6.20 

6.  50 

6.22 

9 

10 

7.31 

6.82 

7.28 

6.85 

7.25 

6.88 

7.22 

6.92 

10 

11 

8.04 

7.50 

8.01 

7.54 

7.98 

7.57 

7.95 

7.61 

11 

12 

8.78 

8.18 

8.74 

8.22 

8.70 

8.26 

8.67 

8.30 

12 

13 

9.51 

8.87 

9.47 

8.91 

9.43 

8.95 

9.39 

8.99 

13 

14 

10.24 

9.55 

10.20 

9.59 

10.16 

9.64 

10.11 

9.68 

14 

15 

10.97 

10.23 

10.93 

10.28 

10.88 

10.33 

10.84 

10.37 

15 

16 

11.70 

10.91 

11.65 

10.96 

11.61 

11.01 

11;  86 

11.06 

16 

17 

12.  43 

11.  59 

12.38 

11.65 

12.33 

11.70 

12.28 

11.  76 

17 

18 

13.  16 

12.  28 

13.11 

12.  33 

13.  06 

12.39 

13.  00 

12.45 

18 

19 

13.90 

12.96 

13.84 

13.02 

13.78 

13.08 

13.72 

13.14 

19 

20 

14.63 

13.  64 

14.57 

13.70 

11.  51 

13.77 

14.45 

13.83 

20 

21 

15.  36 

14.32 

15.30 

14.39 

15.23 

14.46 

15.17 

14.52 

21 

22 

16.09 

15.00 

16.02 

15.07 

15.96 

15.14 

15.89 

15.21 

22 

23 

16.82 

15.69 

16.75 

15.76 

16.68 

15.83 

16.  61 

15.  90 

23 

24 

17.  55 

16.  37 

17.48 

16.44 

17.41 

16.  52 

17.34 

16.  60 

24 

25 

18.28 

17.05 

18.21 

17.13 

18.13 

17.21 

18.  06 

17.  29 

25 

20 

19.02 

17.73 

18.94 

17.81 

18.86 

17.90 

18.78 

17.98 

26 

27 

19.75 

18.41 

19.67 

18.50 

19.59 

18.59 

19.50 

18.67 

27 

28 

20.48 

19.10 

20.39 

19.19 

20.31 

19.27 

20.23 

19.  36 

28 

29 

21.21 

19.78 

21.  12 

19.87 

21.04 

19.  96 

20.95 

20.05 

29 

30 

21.94 

20.46 

2L85 

20.56 

21.76 

20.65 

21.67 

20.75 

30 

31 

22.67 

21.14 

22.58 

21.24 

22.49 

21.34 

22.39 

21.44 

31 

32 

23.  40 

21.82 

23.  31 

21.93 

23.21 

22.  03 

23.12 

22.13 

32 

33 

24.  13 

22.51 

24.04 

22.  61 

23.94 

22.72 

23.  84 

22.82 

33 

34 

24.87 

23.19 

21.  76 

23.  30 

24.  66 

23.  40 

24.  56 

23.  51 

34 

35 

25.  00 

23.87 

25.49 

23.98 

25.  39 

24.  09 

25.28 

24.20 

35 

30 

26.  33 

24.55 

26.22 

24.67 

26.11 

24.78 

26.  01 

24.89 

36 

37 

27.  06 

25.  23 

26.  95 

25.  35 

26.84 

25.  47 

26.  73 

25.59 

37 

38 

27.79 

25.92 

27.  68 

26.04 

27.56 

26.16 

27.  45 

26.  28 

38 

39 

28.52 

26.60 

28.  41 

26.72 

28.29 

26.  85 

28.17 

26.  97 

39 

40 

29.25 

27.28 

29.13 

27.41 

29.01 

27.53 

28.  89 

27.66 

40 

41 

29.99 

27.96 

29.86 

28.09 

29.74 

28.22 

29.62 

28.35 

41 

42 

30.72 

28.  64 

30.59 

28.78 

30.47 

28.91 

30.  34 

29.04 

42 

43 

31.45 

29.  33 

31.32 

29.  46 

31.19 

29.60 

31.06 

29.74 

43 

44 

32.18 

30.01 

32.  0-5 

30.15 

31.92 

30.29 

31.  78 

30.43 

44 

45 

32.  91 

30.  69 

32.  78 

30.83 

32.64 

30.98 

32.  51 

31.12 

45 

4fi 

33.  C4 

31.37 

33.51 

31.52 

33.  37 

31.66 

33.23 

31.  81 

46 

47 

34.37 

32.05 

34.23 

32.20 

34.09 

32.35 

33.  95 

32.  50 

47 

48 

35.10 

32.74 

34.96 

32.89 

34.82 

33.04 

34.  67 

33.19 

48 

49 

35.  84 

33.  42 

35.  69 

33.57 

35.  54 

33.  73 

35.  40 

33.88 

49 

50 

36.57 

34.10 

36.42 

34.26 

36.27 

34.42 

36.12 

34.58 

50 

9 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

| 

5 

03 

£ 

ft 

47°. 

46^°. 

46H°. 

46M°. 

i 

a 

94 


TABLE  4.— TRAVERSE  TABLE. 


0 

43°. 

wjj 

43^°. 

43M°- 

b 

1 

1 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

8 

51 

37.30 

34.78 

37.15 

34.94 

36.99 

35.11 

36.84 

35.  27 

51 

52 

38.03 

35.46 

37.88 

35.  63 

37.72 

35.79 

37.  56 

35.  96 

52 

53 

38.76 

36.  15 

38.60 

36.  31 

38.44 

36.  48 

38.29 

36.  65 

53 

54 

39.49 

36.83 

39.  33 

37.00 

39.17 

37.17 

39.01 

37.34 

54 

55 

40.22 

37.51 

40.06 

37.69 

39.90 

37.  86 

39.73 

38.03 

55 

56 

40.96 

38.19 

40.79 

38.37 

40.  G2 

38.55 

40.  45 

38.72 

56 

57 

41.69 

38.37 

41.52 

39.06 

41.  35 

39.24 

41.17 

39.42 

57 

58 

42.42 

39.  56 

42.  25 

39.74 

42.07 

39.  92 

41.90 

40.11 

58 

59 

43.15 

40.24 

42.  97 

40.  43 

42.80 

40.61 

42.62 

40.80 

59 

GO 

43.88 

40.92 

43.70 

41.11 

43.52 

41.30 

43.34 

41.49 

60 

61 

44.61 

41.60 

44.43 

41.80 

44.25 

41.99 

44.06 

42.18 

61 

62 

45.34 

42.28 

45.16 

42.48 

44.97 

42.68 

44.79 

42.87 

62 

63 

46.  08 

42.97 

45.89 

43.17 

45.70 

43.37 

45.51 

43.  57 

63 

64 

46.81 

43.65 

46.62 

43.85 

46.42 

44.05 

46.23 

44.26 

64 

65 

47.  54 

44.33 

47.34 

44.54 

47.15 

44.74 

46.95 

44.95 

65 

66 

48.27 

45.  01 

48.07 

45.  22 

47.87 

45.43 

47.68 

45.64 

66 

67 

49.00 

45.69 

48.80 

45.91 

48.60 

46.12 

48.40 

46.  33 

67 

68 

49.73 

46.38 

49.53 

46.59 

49.33 

46.81 

49.12 

47.02 

68 

69 

50.  46 

47.06 

50.26 

47.28 

50.  05 

47.50 

49.84 

47.71 

69 

70 

51.19 

47.74 

50.99 

47.96 

50.78 

48.18 

50.57 

48.41 

70 

71 

51.93 

48.42 

51.71 

48.  65 

51.50 

48.87 

51.29 

49.10 

71 

72 

52.66 

49.10 

52.  44 

49.33 

52.23 

49.56 

52.  01 

49.79 

72 

73 

53.39 

49.79 

53.17 

50.02 

52.95 

50.25 

52.73 

50.48 

73 

74 

54.12 

50.47 

53.90 

50.70 

53.68 

50.94 

53.45 

51.17 

74 

75 

54.8.5 

51.  15 

54.63 

51.39 

54.40 

51.63 

54.18 

51.86 

75 

76 

55.58 

51.83 

55.36 

52.07 

55.13 

52.31 

54.90 

52.55 

76 

77 

56.31 

52.51 

56.08 

52.76 

55.85 

53.00 

55.62 

53.25 

77 

78 

57.05 

53.20 

56.81 

53.44 

56.58 

53.  G9 

56.34 

53.94 

78 

79 

57.78 

53.88 

57.54 

54.13 

57.30 

54.38 

57.07 

54.63 

79 

80 

58.51 

54.56 

58.27 

54.81 

58.03 

55.07 

57.79 

55.32 

80 

81 

59.24 

55.24 

59.00 

55.50 

58.76 

55.76 

58.51 

56.01 

81 

82 

59.97 

55.  92 

59.73 

56.  19 

59.48 

56.45 

59.23 

56.70 

82 

83 

60.70 

56.61 

60.45 

56.87 

60.21 

57.13 

59.96 

57.40 

83 

84 

61.  43 

57.29 

61.18 

57.56 

60.93 

57.82 

60.68 

58.09 

84 

85 

62.17 

57.97 

61.91 

58.  24 

61.66 

58.  51 

61.40 

58.78 

85 

86 

62.90 

58.65 

62.64 

58.  93 

62.38 

59.20 

62.12 

59.47 

86 

87 

63.63 

59.33 

63.37 

59.61 

63.11 

59.89 

62.85 

60.16 

87 

88 

64.36 

60.02 

64.10 

60.30 

63.83 

60.58 

63.57 

60.85 

88 

89 

65.09 

60.70 

64.82 

60.98 

64.56 

61.26 

64.29 

61.54 

89 

90 

65.82 

61.38 

65.55 

61.67 

65.28 

61.95 

65.01 

62.24 

90 

91 

66.  55 

62.06 

66.28 

62.35 

66.01 

62.64 

65.74 

62.93 

91 

92 

67.28 

62.74 

67.01 

63.04 

66.73 

63.33 

66.46 

63.62 

92 

93 

68.  02 

63.43 

67.74 

63.72 

67.46 

64.02 

67.18 

64.31 

93 

94 

68.75 

64.11 

68.47 

64.41 

68.  19 

64.71 

67.90 

65.00 

94 

95 

69.48 

64.79 

69.20 

65.09 

68.91 

65.39 

68.62 

65.69 

95 

96 

70.21 

65.47 

69.92 

65.78 

69.64 

66.08 

69.35 

66.39 

96 

97 

70.94 

66.15 

70.65 

66.46 

70.36 

66.77 

70.07 

67.08 

97 

98 

71.67 

66.84 

71.38 

67.15 

71.09 

67.46 

70.79 

67.77 

98 

99 

72.40 

67.52 

72.11 

67.83 

71.81 

68.15 

71.51 

68.46 

99 

100 

73.14 

68.20 

72.84 

68.52 

72.54 

68.84 

72.24 

69.15 

100 

8 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

I 

i 

ft 

47°. 

46M°. 

46X2°. 

46M°- 

-3 
ft 

95 


TABLE  4. -TRAVERSE  TABLE. 


d 

44°. 

0 

* 

* 

1 

x4 

45°. 

d 

55' 

S" 

£ 

5 

£3 

p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dop. 

Lat. 

Dep. 

Lat. 

Dep. 

P 

i 

0.72 

0.69 

0.72 

0.70 

0.71 

0.70 

0.71 

0.70 

0.71 

0.71 

i 

2 

1.44 

1.39 

1.43 

1.40 

1.43 

1.40 

1.42 

1.41 

1.41 

1.41 

2 

3 

2.16 

2.08 

2.15 

2.09 

2.14 

2.10 

2.13 

2.11 

2.12 

2.12 

3 

4 

2.88 

2.78 

2.87 

2.79 

2.85 

2.80 

2.84 

2.82 

2.83 

2.83 

4 

5 

3.60 

3.47 

3.58 

3.49 

3.57 

3.50 

3.55 

3.52 

3.54 

3.54 

5 

6 

4.32 

4.17 

4.  30 

4.19 

4.28 

4.21 

4.26 

4.22 

4.24 

4.24 

6 

7 

5.04 

4.86 

5.01 

4.88 

4.99 

4.91 

4.97 

4.93 

4.95 

4.95 

7 

8 

5.75 

5.56 

5.73 

5.58 

5.71 

5.61 

5.68 

5.  (33 

5.66 

5.66 

8 

9 

6.47 

6.25 

6.45 

6.28 

6.42 

6.31 

6.39 

6.34 

6.36 

6.36 

9 

10 

7.19 

6.95 

7.16 

6.98 

7.13 

7.01 

7.10 

7.04 

7.07 

7.07 

10 

11 

7.91 

7.64 

7.8-8 

7.68 

7.85 

7.71 

7.81 

7.74 

7.78 

7.78 

11 

12 

8.63 

8.34 

8.60 

8.37 

8.  56 

8.41 

8.52 

8.45 

8.49 

8.  49 

12 

13 

9.35 

9.03 

9.31 

9.07 

9.27 

9.11 

9.23 

9.15 

9.19 

9.19 

13 

i  14 

10.07 

9.73 

10.03 

9.77 

9.99 

9.81 

9.94 

9.86 

9.90 

9.90 

14 

15 

10.79 

10.42 

10.74 

10.47 

10.  70 

10.51 

10.65 

10.56 

10.  61 

JO.  61 

15 

!  16 

11.51 

11.  11 

11.46 

11.16 

11.41 

11.21 

11.36 

11.26 

11.31 

11.31 

10 

17 

12.23 

11.81 

12.18 

11.86 

12.  13 

11.92 

12.07 

11.97 

12.02 

12.  02 

17 

18 

12.95 

12.50 

12.89 

12.56 

12!  84 

12.62 

12.78 

12.67 

12.73 

12.73  i  18 

19    13.67 

13.  20 

13.61 

13.26 

13.55 

13.32 

13.49 

13.  38 

13.44 

13.44  •  19 

20 

14.39 

13.89 

14.33 

13.96 

14.27 

14.02 

14.20 

14.08 

14.14 

14.  14     20 

21 

15.11 

14.59 

15.04 

14.65 

14.98 

14.72 

14.91 

14.78 

14.85 

14.  85     21 

22 

15.  83 

15.28 

15.76 

15.  35 

15.69 

15.42 

15.62 

15.49 

15.56 

15.56     22 

23 

16.54 

15.98 

16.47 

16.05 

16.40 

16.12 

16.33 

16.19 

16.26 

16.  26     23 

24 

17.26 

16.  67 

17.19 

16.75 

17.12 

16.82 

17.04 

16.  90 

16.97 

16.97 

24 

25 

17.98 

17.37 

17.91 

17.44 

17.83 

17.52 

17.75 

17.60 

17.68 

17.  08 

25 

26   18.70 

18.06 

18.62 

18.14 

18.54 

18.22 

18.46 

18.30 

18.38 

18.38     26 

27    19.42 

18.  76 

19.34 

18.84 

19.26 

18.92 

19.18 

19.01 

19.09 

19.09  1  27 

28  J20.14 

19.45 

20.06 

19.54 

19.97 

19.63 

19.89 

19.71 

19.80 

19.80  i  28 

29 

20.  86 

20.15 

20.77 

20.24 

20.68 

20.33 

20.60 

20.42 

20.51 

20.51     29 

30 

21.58 

20.84 

21.49 

20.93 

21.40 

21.03 

21.31 

21.12 

21.21 

21.21     30 

31 

22.30 

21.  53 

22.21 

21.63 

22.11 

21.73 

22.02 

21.82 

21.92 

21.92  !  31 

32 

23.02 

22.23 

22.92 

22.33 

22.82 

22.43 

22.73 

22.53 

22.  G3 

22.63  !  32 

33 

23.  74 

22.92 

23.64 

23.03 

23.54 

23.13 

23.44 

23.23 

23.  33 

23.33  !  33 

34 

24.40 

23.62 

24.35 

23.  72 

24.25 

23.83 

24.15 

23.94 

24.  04 

24.04  1  34 

35 

25.18 

24.31 

25.07 

24.42 

24.96 

24.53 

24.86 

24.64 

24.75 

24.75  !  35 

36 

25.90 

25.01 

25.79 

25.  12 

25.68 

25.23 

25.  57 

25.34 

25.46 

25.46  |  36 

37 

26.62 

25.70 

26.50 

25.82 

26.  39 

25.93 

26.28 

26.  05 

26.16 

20.  16 

37 

38 

27.  33 

26.40 

27.22 

20.52 

27.10 

26.63 

26.99 

26.75 

26.87 

26.  87 

38 

39 

28.05 

27.09 

27.94 

27.21 

27.82 

27.34 

27.70 

27.46 

27.58 

27.58 

39 

40 

28.77 

27.79 

28.65 

27.91 

28.53 

28.04 

28.41 

28.16 

28.28 

28.  28 

40 

41 

29.49 

28.48 

29.37 

28.61 

29.24 

28.74 

29.12 

28.86 

28.99 

28.99 

41 

42 

30.21 

29.18 

30.  08 

29.31 

29.96 

29.44 

29.  S3 

29.57 

29.70 

29.70 

42 

43 

30.93 

29.87 

30.80 

30.00 

30.67 

30.14 

30.54 

30.27 

30.41 

30.41 

43 

44 

31.65 

30.56 

31.52 

30.70 

31.38 

30.84 

31.25 

30.98 

31.11 

31.11 

44 

45   32.37 

31.26 

32.  23 

31.40 

32.10 

31.54 

31.96 

31.68 

31.82 

31.82 

45 

46   33.09 

31.95 

32.95 

32.10 

32.81 

32.  24 

32.67 

32.38 

32.53 

32.53 

46 

47  133.81 

32.65 

33.67 

32.80 

33.  52 

32.94    ;  33.38 

33.09 

33.23 

33.  23 

47 

48   34.53 

33.34 

34.38 

33.49 

34.24 

33.  64      34.  09 

33.79 

33.  94 

33.94 

48 

49 

35.  25 

34.04 

35.  10 

34.19 

34.95 

31.  34 

34.80 

34.50 

34.65 

34.  65 

49 

50 

35.97 

34.73 

35.82 

34.89 

35.66 

35.05 

35.51 

35.20 

35.36 

35.36 

50 

Q) 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I 

c3 

5 

46°. 

453^. 

45^. 

45M°. 

45°. 

1 
3 

96 


TABLE  4.-TRAVERSE  TABLE. 


b 
B 

44°. 

44M°. 

44^°. 

44^°. 

45°. 

0 
Ef 

P" 

1 

8 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

36.  69 

35.43 

36.53 

35.59 

36.38 

35.75 

36.22 

35.90 

36.06 

36.  06 

51 

52    37.  41 

30.12 

37.  25 

36.29 

37.09 

36.45 

36.  93 

36.61 

36.  77 

36.  77 

52 

53  138.13 

30.  82 

37.96 

36.98 

37.80 

37.15 

37.64 

37.  31 

37.48 

37.48 

53 

54 

38.84 

37.51 

38.08 

37.08 

38.52 

37.85 

38.35 

38.02 

38.18 

38.18 

54 

55 

39.56 

38.  21 

39.  40 

38.  38 

39.23 

38.55 

39.  00 

38.72 

38.89 

38.89 

55 

50 

40.28 

38.90 

40.  11 

39.08 

39.94 

39.25 

39.77 

39.42 

39.  CO 

39.  CO 

56 

57 

41.00 

39.  CO 

40.83 

39.77 

40.  06 

39.95 

40.48 

40.13 

40.31 

40.  31 

57 

58 

41.72 

40.29 

11.55 

40.47 

41.37 

40.  05 

41.  19 

40.83 

41.01 

41.01 

58 

59 

42.44 

40.98 

42.26 

41.17 

42.08 

41.35 

41.90 

41.54 

41.72 

41.72 

59 

CO 

43.16 

41.68 

42.98 

41.87 

42.80 

42.05 

42.61 

42.24 

42.43 

42.43 

60 

Cl 

43.88 

42.37 

43.69 

42.57 

43.51 

42.76 

43.32 

42.94 

43.13 

43.13 

61 

02  144.60 

43.07 

44.41 

43.  26 

44.22 

43.46 

44.  03 

43.  65 

43.84 

43.84 

62 

C3  |45.32 

43.  76 

45.13 

43.96 

44.93 

44.16 

44.74 

44.35 

44.  55 

44.55 

63 

C4 

40.04 

44.46 

45.84 

44.  06 

45.05 

44.86 

45.45 

45.06 

45.25 

45.25 

64 

05 

46.76 

45.  15 

46.56 

45.  36 

40.36 

45.56 

40.10 

45.  76 

45.  96 

45.96 

65 

CG 

47.48 

45.85 

47.28 

46.  05 

47.07 

46.  26 

46.  87 

46.46 

46.67 

40.  67 

66 

G7 

48.20 

46.54 

47.99 

46.75 

47.79 

46.90 

47.58 

47.17 

47.38 

47.38 

(-7 

C8 

48.92 

47.24 

48.71 

47.45 

48.50 

47.  66 

48.  29 

47.87 

48.08 

48.  08 

C8 

69 

49.  03 

47.93 

49.42 

48.15 

49.21 

48.  36 

49.00 

48.58 

48.79 

48.79 

C9 

70 

50.35 

48.03 

50.14 

48.85 

49.93 

49.06 

49.71 

49.28 

49.50 

49.50 

70 

71 

51.07 

49.32 

50.86 

49.54 

50.  04 

49.76 

50.42 

49.99 

50.20 

£0.20 

71 

72  151.79 

50.02 

51.57 

50.24 

51.35 

50.47 

51.13 

50.69 

50.91 

50.91 

72 

73 

52.51 

50.71 

52.29 

50.94 

52.07 

51.17 

51.84 

51.39 

51.62 

51.02 

73 

74 

53.  23 

51.40 

53.01 

51.64 

52.  78 

51.87 

52.  55 

52.10 

52.33 

52.33 

74 

75 

53.95 

52.10 

53.  72 

52.33 

53.49 

52.57 

53.26 

52.80 

53.03 

53.  03 

75 

76 

54.  07 

52.79 

54.44 

53.03 

54.21 

53.27 

53.97 

53.51 

53.74 

53.74 

76 

77 

55.39 

53.49 

55.16 

53.73 

54.92 

53.97 

54.68 

54.  21 

54.45 

54.45 

77 

78 

56.11 

54.18 

55.87 

54.43 

55.63 

54.  67 

55.39 

54.91 

55.15 

55.  15 

78 

79 

56.  S3 

54.88 

56.  59 

55.13 

56.35 

55.37 

56.10 

55.62 

55.86 

55.86 

79 

80 

57.  55 

55.57 

57.30 

55.82 

57.06 

56.07 

56.81 

56.32 

56.57 

56.57 

80 

81 

58.27 

56.  27 

58.02 

56.52 

57.77 

56.77 

57.53 

57.03 

57.28 

57.28 

81 

82 

58.99 

56.96 

58.74 

57.22 

58.49 

57.47 

58.24 

57.73 

57.98 

57.98 

82 

83 

59.71 

57.06 

59.45 

57.92 

59.20 

58.18 

58.95 

58.43 

58.  69 

58.69 

83 

84 

CO.  42 

58.35 

CO.  17 

58.61 

59.91 

58.88 

59.66 

59.14 

59.40 

59.40 

84 

85 

61.14 

59.05 

00.89 

59.31 

60.63 

59.58 

60.37 

59.84 

60.10 

60.10 

85 

86   61.86 

59.74 

01.  00 

60.01 

61.34 

60.28 

61.08 

60.  55 

60.81 

60.81 

86 

87  !62.58 

60.44 

02.32 

60.  71 

62.05 

60.98 

61.79 

61.25 

61.52 

61.  52 

87 

88 

03.30 

61.13 

03.  03 

61.41 

62.77 

61.68 

62.50 

61.95 

62.23 

62.23 

88 

89 

64.  02 

61.82 

03.75 

62.10 

63.48 

62.38 

63.21 

62.  66 

62.93 

62.  93 

89 

90 

64.  74 

62.52 

64.47 

62.80 

64.19 

03.08 

63.92 

63.  36 

63.64 

63.64 

90 

91 

65.46 

63.21 

65.18 

63.50 

64.91 

63.78 

64.63 

64.07 

64.35 

64.35 

91 

92 

66.18 

63.91 

65.  90 

64.  20 

65.62 

64.48 

65.34 

64.77 

65.  05 

65.05 

92 

93   66.90 

64.  00 

66.  62 

64.89 

66.33 

65.18 

66.05 

65.47 

65.76 

65.76 

93 

94   67.62 

65.30 

67.  33 

65.59 

67.05 

65.  89 

66.76 

66.18 

66.47 

66.47 

94 

95  168.34 

65.99 

68.05 

66.29 

67.  -76 

66.59 

67.47 

66.88 

67.18 

67.18 

95 

96   69.06 

66.69 

68.76 

66.99 

68.47 

67.29 

68.18 

67.59 

67.88 

67.88 

96 

97  169.78 

67.38 

69.  48 

67.69 

69.19 

67.99 

68.89 

68.29 

68.59 

68.59 

97 

98  ;70.50 

68.08 

70.20 

68.  38 

69.90 

68.69 

69.60 

68.99 

69.30 

69.  30 

98 

99 

71.21 

68.77 

70.91 

69.08 

70.  01 

69.39 

70.31 

69.70 

70.00 

70.00 

99 

100 

71.93 

69.47 

71.63 

69.  78 

71.33 

70.09 

71.02 

70.40 

70.71 

70.71 

100 

T 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

s 

i 

c 

i 

5 

46°. 

45%°. 

45^°. 

45i°. 

45°. 

s 

41479—10 7 


97 


TABLE  5.— CORRECTION  OF  ERROR  IN  STADIA  WIRE  INTERVAL. 


Distance  in  chains. 

0133456789            1O 

Error  in  Links. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

1.0 

0.0 

0.2 

0.4 

0.6 

0.8 

1.0 

1.2 

1.4 

1.6 

1.8 

2.0 

0.0 

0.3 

0.6 

0.9 

1.2 

1.5 

1.8 

2.1 

2.4 

2.7 

3.0 

0.0 

0.4 

0.8 

1.2 

1.6 

2.0 

2.4 

2.8 

3.2 

3.6 

4.0 

0.0 

0.5 

1.0 

1.5 

2.0 

2.5 

3.0 

3.5 

4.0 

4.5 

5.0 

0.0 

0.6 

1.2 

1.8 

2.4 

3.0 

3.6 

4.2 

4.8 

5.4 

6.0 

0.0 

0.7 

1.4 

2.1 

2.8 

3.5 

4.2 

4.9 

5.6 

6.3 

7.0 

0.0 

0.8 

1.6 

2.4 

3.2 

4.0 

4.8 

5.6 

6.4 

7.2 

8.0 

0.0 

0.9 

1.8 

2.7 

3.6 

4.5 

5.4 

6.3 

7.2 

8.1 

9.0 

0.0 

.0 

2.0 

3.0 

4.0 

5.0 

6.0 

7.0 

8.0 

9.0 

10.0 

0.0 

.1 

2.2 

3.3 

4.4 

5.5 

6.6 

7.7 

8.8 

9.9 

11.0 

0.0 

.2 

2.4 

3.6 

4.8 

6.0 

7.2 

8.4 

9.6 

10.8 

12.0 

0.0 

.3 

2.6 

3.9 

5.2 

6.5 

7.8 

9.1 

10.4 

11.7 

13.0 

0.0 

.4 

2.8 

4.2 

5.6 

7.0 

8.4 

9.8 

11.2 

12.6 

14.0 

0.0 

.5 

3.0 

4.5 

6.0 

7.5 

9.0 

10.5 

12.0 

13.5 

15.0 

0.0 

.6 

3.2 

4.8 

6.4 

8.0 

9.6 

11.2 

12.8 

14.4 

16.0 

0.0 

.7 

3.4 

5.1 

6.8 

8.5 

10.2 

11.9 

13.6 

15.3 

17.0 

0.0 

.8 

3.6 

5.4 

7.2 

9.0 

10.8 

12.6 

14.4 

16.2 

18.0 

0.0 

.9 

3.8 

5.7 

7.6 

9.5 

11.4 

13.3 

15.2 

17.1 

19.0 

0.0 

2.0 

4.0 

6.0 

8.0 

10.0 

12.0 

14.0 

16.0 

18.0 

20.0 

0.0 

2.1 

4.2 

6.3 

8.4 

10.5 

12.6 

14.7 

16.8 

18.9 

21.0 

0.0 

2.2 

4.4 

6.6 

8.8 

11.0 

13.2 

15.4 

17.6 

19.8 

22.0 

0.0 

2.3 

4.6 

6.9 

9.2 

11.5 

13.8 

16.1 

18.4 

20.7 

23.0 

0.0 

2.4 

4.8 

7.2 

9.6 

12.0 

14.4 

16.8 

19.2 

21.6 

24.0 

0.0 

2.5 

5.0 

7.5 

10.0 

12.5 

15.0 

17.5 

20.0 

22.5 

25.0 

0.0 

2.6 

5.2 

7.8 

10.4 

13.0 

15.6 

18.2 

20.8 

23.4 

26.0 

0.0 

2.7 

5.4 

8.1 

10.8 

13.5 

16.2 

18.9 

21.6 

24.3 

27.0 

0.0 

2.8 

5.6 

8.4 

11.2 

14.0 

16.8 

19.6 

22.4 

25.2 

28.0 

0.0 

2.9 

5.8 

8.7 

11.6 

14.5 

17.4 

20.3 

23.2 

26.1 

29.0 

0.0 

3.0 

6.0 

9.0 

12.0 

15.0 

18.0 

21.0 

24.0 

27.0 

30.0 

Distance  in  chains. 

1O         11         12         13         14         15         16         17         18         19          2O 

Error  in  links. 

1.0 

1.1 

1.2 

1.3 

1.4 

1.5 

1.6 

1.7 

1.8 

1.9 

2.0 

2.0 

2.2 

2.4 

2.6 

2.8 

3.0 

3.2 

3.4 

3.6 

3.8 

4.0 

3.0 

3.3 

3.6 

3.9 

4.2 

4.5 

4.8 

5.1 

5.4 

5.7 

6.0 

4.0 

4.4 

4.8 

5.2 

5.6 

6.0 

6.4 

6.8 

7.2 

7.6 

8.0 

5.0 

5.5 

6.0 

6.5 

7.0 

7.5 

8.0 

8.5 

9.0 

9.5 

10.0 

6.0 

6.6 

7.2 

7.8 

8.4 

9.0 

9.6 

10.2 

10.8 

11.4 

12.0 

7.0 

7.7 

8.4 

9.1 

9.8 

10.5 

11.2 

11.9 

12.6 

13.3 

14.0 

8.0 

8.8 

9.6 

10.4 

11.2 

12.0 

12.8 

13.6 

14.4 

15.2 

16.0 

9.0 

9.9 

10.8 

11.7 

12.6 

13.5 

14.4 

15.3 

16.2 

17.1 

18.0 

10.0 

11.0 

12.0 

13.0 

14.0 

15.0 

16.0 

17.0 

18.0 

19.0 

20.0 

11.0 

12.1 

13.2 

14.3 

15.4 

16.5 

17.6 

18.7 

19.8 

20.9 

22.0 

12.0 

13.2 

14.4 

15.6 

16.8 

18.0 

19.2 

20.4 

21.6 

22.8 

24.0 

13.0 

14.3 

15.6 

16.9 

18.2 

19.5 

20.8 

22.1 

23.4 

24.7 

26.0 

14.0 

15.4 

16.8 

18.2 

19.6 

21.0 

22.4 

23.8 

25.2 

26.6 

28.0 

15.0 

16.5 

18.0 

19.5 

21.0 

22.5 

24.0 

25.5 

27.0 

28.5 

30.0 

16.0 

17.6 

19.2 

20.8 

22.4 

24.0 

25.6 

27.2 

28.8 

30.4 

32.0 

17.0 

18.7 

20.4 

22.1 

23.8 

25.5 

27.2 

28.9 

30.6 

32.3 

34.0 

18.0 

19.8 

21.6 

23.4 

25.2 

27.0 

28.8 

30.6 

32.4 

34.2 

36.0 

19.0 

20.9 

22.8 

24.7 

26.6 

28.5 

30.4 

32.3 

34.2 

36.1 

38.0 

20.0 

22.0 

24.0 

26.0 

28.0 

30.0 

32.0 

34.0 

36.0 

38.0 

40.0 

21.0 

23.1 

25.2 

27.3 

29.4 

31.5 

33.6 

35.7 

37.8 

39.9 

42.0 

22.0 

24.2 

26.4 

28.6 

30.8 

33.0 

35.2 

37.4 

39.6 

41.8 

44.0 

23.0 

25.3 

27.6 

29.9 

32.2 

34.5 

36.8 

39.1 

41.4 

43.7 

46.0 

24.0 

26.4 

28.8 

31.2 

33.6 

36.0 

38.4 

40.8 

43.2 

45.6 

48.0 

25.0 

27.5 

30.0 

32.5 

35.0 

37.5 

40.0 

42.5 

45.0 

47.5 

50.0 

26.0 

28.6 

31.2 

33.8 

36.4 

39.0 

41.6 

44.2 

46.8 

49.4 

52.0 

27.0 

29.7 

32.4 

35.1 

37.8 

40.5 

43.2 

45.9 

48.6 

51.3 

54.0 

28.0 

30.8 

33.6 

36.4 

39.2 

42.0 

44.8 

47.6 

50.4 

53.2 

56.0 

29.0 

31.9 

34.8 

37.7 

40.6 

43.5 

46.4 

49.3 

52.2 

55.1 

58.0 

30.0 

33.0 

36.0 

39.0 

42.0 

45.0 

48.0 

51.0 

54.0 

57.0 

60.0 

98 


TABLE  6.— STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos2f  and  J/£  sin  2v. 


0° 

!• 

2° 

3° 

.  Hor.   Diff. 
dist.   elev. 

Hor.   Diff. 
dist.   elev. 

Hor.   Diff. 
dist.   elev. 

Hor.   Diff. 
dist.   elev. 

0 
2 

4 
6 
8 

1.0000   .0000 
1.0000   .0006 
1.0000   .0012 
1.0000   .0017 
1.0000   .0023 

.9997   .0174 
.9997    .0180 
.9997    .0186 
.9996    .0192 
.9996    .0198 

.9988    .0349 
.9987    .0355 
.9987   .0360 
.9987    .0366 
.9986    .0372 

.9973    .0523 
.9972    .0528 
.9971    .0534 
.9971    .0540 
.9970    .0546 

10 
12 
14 
16 
18 

1.0000   .0029 
1.0000   .0035 
1.0000   .0041 
1.0000   .0047 
1.0000   .0052 

.9996    .0204 
.  9996    .  0209 
.9995    .0215 
.9995    .0221 
.9995   .0227 

.9986    .0378 
.9985    .0384 
.9985    .0390 
.9984   .0395 
.9984   .0401 

.9969    .0552 
.9969    .0557 
.9968    .0563 
.9968    .0569 
.9967    .0575 

20 
22 
24 
26 

28 

1.0000   .0058 
1.0000   .0064 
1.0000   .0070 
.  9999   .  0076 
.9999   .0081 

.9995    .0233 
.9994    .0238 
.9994   .0244 
.9994   .0250 
.9993    .0256 

.9983   .0407 
.9983    .0413 
.9982    .0418 
.9982    .0424 
.9981    .0430 

.9966    .0580 
.9966    .0586 
.9965    .0592 
.9964    .0598 
.9963    .0604 

30 
32 
34 
36 
38 

.9999   .0087 
.9999   .0093 
.9999   .0099 
.9999   .0105 
.9999   .0111 

.9993    .0262 
.9993    .0267 
.  999.3    .  0273 
.9992    .0279 
.9992    .0285 

.9981    .0436 
.9980    .0442 
.9980    .0448 
.9979    .0453 
.9979    .0459 

.9963    .0609 
.9962    .0615 
.9962    .0621 
.9961    .0627 
.9960    .0633 

40 
42 
44 

46 

48 

.9999   .0116 
.9999   .0122 
.9998   .0128 
.9998   .0134 
.9998   .0140 

.9992    .0291 
.9991    .0297 
.9991    .0302 
.9990    .0308 
.9990    .0314 

.9978   .0465 
.9978    .0471 
.9977    .0476 
.9977    .0482 
.9976    .0488 

.9959    .0638 
.9959    .0644 
.9958    .0650 
.9957    .0656 
.9956    .0661 

50 
52 
54 
56 

58 

.9998   .0145 
.9998   .0151 
.9998   .0157 
.9997   .0163 
.9997   .0169 

.9990    .0320 
.  9989    .  0326 
.9989    .0331 
.9989    .0337 
.9988    .0343 

.9976    .0494 
.9975    .0499 
.9974   .0505 
.9974    .0511 
.9973    .0517 

.9956    .0667 
.9955    .0673 
.9954   .0678 
.  9953    .  0684 
.9952    .0690 

60 

.9997   .0174 

.9988    .0349 

.9973   .0523 

.9951  '   .0696 

•C+f 
0.75 
1.00 
1.25 

0.75   0.01 
1.00   0.01 
1.25   0.02 

0.75    0.02 
1.00    0.03 
1.25    0.03 

0.75    0.03 
1.00    0.04 
1.25    0.05 

0.75    0.05 
1.00    0.06 
1.25    0.08 

(c+/)  cos  v  and  (c+f)  sin  p. 
Natural  functions 


99 


TABLE  6.— STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos2?;  and  Yi  sin  2v. 


4° 

5° 

6° 

7° 

Hor.    Diff. 
dist.    elev. 

Hor.    Diff. 
dist.    elev. 

Hor.    Difl. 
dist.    elev. 

Ilor.    Diff. 
dist.   elev. 

0 

2 
4 
6 
8 

.9951   .0696 
.  9951    .  0702 
.  9950   .  0707 
.  9949   .  0713 
.9948   .0719 

.  9924   .  0868 
.  9923    .  0874 
.  9922   .  0880 
.  9921    .  0885 
.  9920   .  0891 

.9891   .1040 
.  9890   .  1045 
.  9888   .  1051 
.9887    .1057 
.  9886   .  1002 

.9851   .1210 
.9850   .1215 
.9848   .1221 
.9847    .1226 
.  9846   .  1232 

10 

14 
16 
18 

.  9947    .  0725 
.9946   .0730 
.  9946   .  0736 
.  9945    .  0742 
.  9944   .  0748 

.  9919   .  0897 
.9918   .0903 
.  9917    .  0908 
.9916   .0914 
.9915    .0920 

.  9885    .  1068 
.9883    .1074 
.  9882   .  .  1079 
.  9881    .  1085 
.9880   .1091 

.9844   .1238 
.  9843    .  1243 
.  9841    .  1219 
.9840   .1255 
.  9839   .  1200 

20 
22 
24 
26 

28 

.9943   .0753 
.  9942   .  0759 
.  9941    .  07G5 
.  9940   .  0771 
.  9939    .  0776 

.9914   .0925 
.9913    .0931 
.9911    .0937 
.9910   .0943 
.  9909   .  0948 

.  9878   .  1096 
.9877    .1102 
.9876   .1108 
.9874   .1113 
.  9873    .  1119 

.9837   .1266 
.9836   .1272 
.  9834   .  1277 
.9833    .1283 
.  9831    .  1288 

30 
32 
34 
36 
38 

.  9938   .  0782 
.  9938   .  0788 
.  9937    .  0794 
.  9936   .  0799 
.  9935   .  0805 

.  9908   .  0954 
.  9907    .  0960 
.  9906   .  0965 
.  9905    .  0971 
.9904   .0977 

.9872   .1125 
.  9871    .  1130 
.  9869    .  1136 
.9868   .1142 
.9867   .1147 

.9829   .1294 
.  9828    .  1300 
.  9827   .  1305 
.9825    .1311 
.9824   .1317 

40 

42 
44 
46 
48 

.9934   .0811 
.  9933   .  0817 
.  9932   .  0822 
.  9931    .  0828 
.  9930   .  0834 

.  9903    .  0983 
.  9901    .  0988 
.  9900   .  0994 
.9899   .1000 
.9898   .1005 

.  9865    .  1153 
.9864   .1159 
.  9863   .  1164 
.9861    .1170 
.9860   .1176 

.9822   11322 
.  9820   .  1328 
.9819   .1333 
.9817   .1339 
.9816   .1345 

50 
52 
54 
56 
58 

.9929   .0840 
.  9928   .  0845 
.  9927   .  0851 
.  9926   .  0857 
.  9925   .  0863 

.9897   .1011 
.  9896   .  1017 
.  9894   .  1022 
.9893   .1028 
.9892   .1034 

.9858    .1181 
.9857   .1187 
.  9856   .  1193 
.  9854   .  1198 
.  9853   .  1204 

.9814   .1350 
.9813   .1356 
.9811    .1361 
.9810   .1367 
.  9808   .  1373 

60 

.9924   .0868 

.9891    .1040 

.9851    .1210 

.  9806   .  1378 

c+f 
0.75 
1.00 
1.25 

0.  75    0.  06 
1.00    0.08 
1.  25    0.  10 

0.  75    0.  07 
0.  99    0.  09 
1.  24    0.  11 

0.  75    0.  08 
0.  99    0.  11 
1.24    0.14 

0.  74    0.  10 
0.  99    0.  13 
1.24    0.16 

(c+f)  cos  v  and  (c+f)  sin 
Natural  functions. 


100 


TABLE  6.— STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos2tf  and  }4  sin  2v. 


8° 

9° 

10° 

11° 

Hor.   Diff. 
dist.    elev. 

Hor.    Diff. 
dist.   elev. 

Hor.    Diff. 
dist.   elev. 

Hor.    Diff. 
dist.   elev. 

0 
2 
4 
6 

8 

.  9806   .  1378 
.  9805   .  1384 
.  9803    .  1389 
.  9801    .  1395 
.  9800   .  1401 

.  9755    .  1545 
.  9753    .  1551 
.  9752    .  1556 
.  9750   .  1562 
.9748   .1567 

.  9698   .  1710 
.  9696   .  1716 
.9694   .1721 
.9892    .1726 
.  9690    .  1732 

.9636   .1873 
.9634   .1878 
.9632   .1884 
.  9629   .  1889 
.  9627   .  1895 

10 
12 
14 
16 

18 

.  9798    .  1406 
.  9797   .  1412 
.  9795    .  1417 
.  9793    .  1423 
.  9792   .  1428 

.  9746    .  1573 
.  9744    .  1578 
.  9743    .  1584 
.9741    .1589 
.  9739    .  1595 

.9688   .1737 
.  9686    .  1743 
.9684   .1748 
.9682    .1754 
.9680   .1759 

.9625    .1900 
.9623    .1905 
.9621    .1911 
.9618    .1916 
.9616   .1921 

20 
22 
24 
26 

28 

.  9790    .  1434 
.  9788   .  1440 
.  9787    .  1445 
.  9785    .  1451 
.  9783   .  1456 

.9737   .1600 
.  9735    .  1606 
.9733    .1611 
.9731    .1617 
.9729    .1622 

.9678   .1765 
.  9676   .  1770 
.  9674    .  1776 
.9672    .1781 
.  9670    .  1786 

.9614    .1927 
.9612    .1932 
.  9C09    .  1938 
.  9007    .  1943 
.9605    .1948 

30 
32 
34 
36 
38 

.9782   .1462 
.  9780   .  1467 
.  9778   .  1473 
.  9776   .  1479 
.  9775    .  1484 

.9728   .1628 
.  9726   .  1633 
.9724   .1639 
.  9722   .  1644 
.  9720   .  1650 

.9668    .1792 
.9666   .1797 
.9664   .1803 
.9662   .1808 
.9660   .1814 

.9603    .1954 
.9600   .1959 
.9598    .1904 
.  9596   .  1970 
.9593    .1975 

40 
42 
44 
46 
48 

.  9773    .  1490 
.  9771    .  1495 
.  9769   .  1501 
.  9768   .  1506 
.9766   .1512 

.9718   .1655 
.9716   .1661 
.9714   .1666 
.  9712   .  1672 
.9710   .1677 

.  9657   .  1819 
.  9655    .  1824 
.  9653   .  1830 
.9651    .1835 
.9649   .1841 

.9591    .1980 
.  9589   .  1986 
.  9586    .  1991 
.9584    .1996 
.9582   .2002 

50 
52 
54 
56 

58 

.9764   .1517 
.9762    .1523 
.  9761    .  1528 
.9759   .1534 
.9757   .1540 

.9708   .1683 
.9706   .1688 
.9704   .1694 
.  9702   .  1699 
.9700   .1705 

.9647   .1846 
.9645    .1851 
.9€42   .1857 
.  9640   .  1862 
.9638    .1868 

.9579   .2007 
.9577   .2012 
.9575   .2018 
.9572   .2023 
.9570   .2028 

60 

.9755    .1545 

.9698    .1710 

.9636   .1873 

.9568    .2034 

c+f 
0.75 
1.00 
1.25 

0.  74  •  0.  11 
0.99    0.15 
1.23    0.18 

0.74'    0.12 
0.  99    0.  16 
1.23    0.21 

0.  74    0.  14 
0.98'    0.18 
1.23    0.23 

0.  73    0.  15 
0.  98    0.  20 
1.22    0.25 

(c+f)  cos  v  and  (c+f)  sin  v. 
Natural  functions. 


101 


TABLE  6.— STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos2t>  and  ^  sin  2v. 


12° 

13° 

14° 

15° 

Hor.    Diff. 
dist.   elev. 

Hor.    Diff. 
dist.    elev. 

Hor.    Dili, 
dist.   elev. 

Hor.    Diff. 
dist.    elev. 

0 

2 
4 
6 
8 

.  9568   .  2034 
.  9565   .  2039 
.  9563   .  2044 
.9501    .2050 
.  9558   .  2055 

.  9494   .  2192 
.9491   .2197 
.  9489   .  2202 
.  9486   .  2208 
.9484   .2213 

.  9415   .  2347 
.  9412    .  2352 
.  9409   .  2358 
.  9407    .  2363 
.  9404    .  2368 

.  9330   .  2500 
.  9327    .  2505 
.  9324   .  2510 
.  9321    .  2515 
.  9318   .  2520 

10 
12 
14 
16 

18 

.  9556   .  2060 
.  9553   .  2066 
.  9551    .  2071 
.  9549   .  2076 
.9546   .2081 

.  9481   .  2218 
.  9479   .  2223 
.  9476   .  2228 
.  9473   .  2234 
.  9471    .  2239 

.9401    .2373 

.  9398   .  2378 
.9395   .2383 
.  9393   .  2388 
.  9390   .  2393 

.  9316   .  2525 
.  9313   .  2530 
.9310   .2535 
.9307   .2540 
.  9304   .  2545 

20 
22 
24 
26 

28 

.  9544   .  2087 
.  9541    .  2092 
.  9539   .  2097 
.  9536   .  2103 
.  9534   .  2108 

.  9468   .  2244 
.  9466    .  2249 
.  9463   .  2254 
.  9460   .  2260 
.9458   .2265 

.9387   .2399 
.  9384    .  2404 
.  9381    .  2409 
.  9379   .  2414 
.9376   .2419 

.  9301    .  2550 
.  9298   .  2555 
.  9295   .  2500 
.9292   .2565 
.  9289   .  2570 

30 
32 
34 
36 
38 

.9532   .2113 
.9529   .2118 
.9527   .2124 
.  9524   .  2129 
.9522   .2134 

.  9455   .  2270 
.  9452   .  2275 
.  9450   .  2280 
.  9447   .  2285 
.  9444   .  2291 

.9373   .2424 
.9370   .2429 
.  9367   .  2434 
.  9365   .  2439 
.  9362   .  2444 

.9286   .2575 
.9283   .2580 
.  9280    .  2585 
.  9277   .  2590 
.  9274   .  2595 

40 
42 
44 

46 
48 

.  9519   .  2139 
.  9517   .  2145 
.  9514   .  2150 
.9512   .2155 
.  9509   .  2160 

.  9442   .  2296 
.  9439   .  2301 
.  9436   .  2306 
.9434   .2311 
.9431    .2316 

.  9359   .  2449 
.  9356   .  2455 
.  9353   .  2460 
.  9350   .  2465 
.9347   .2470 

.9271    .2600 
.  9268   .  2605 
.9265   .2610 
.9262   .2615 
.  9259   .  2620 

50 
52 
54 
56 
58 

.  9507   .  2166 
.  9504   .  2171 
.  9502   .  2176 
.  9499   .  2181 
.9497   .2187 

.9428   .2322 
.  9426   .  2327 
.  9423   .  2332 
.  9420   .  2337 
.9417   .2342 

.  9345   .  2475 
.  9342   .  2480 
.9339    .2485 
.  9336   .  2490 
.9333   .2495 

.9256   .2625 
.  9253   .  2630 
.9249   .2635 
.  9246   .  2640 
.  9243   .  2645 

60 

.  9494   .  2192 

.9415   .2347 

.  9330    .  2500 

.9240   .2650 

c+f 
0.7o 
1.00 
1.25 

0.  73    0.  16 
0.  98    0.  22 
1.22    0.27 

0.  73    0.  17 
0.  97    0.  23 
1.21    0.29 

0.  73    0.  19 
0.  97    0.  25 
1.21    0.31 

0.  72    0.  20 
0.  96    0.  27 
1.  20    0.  34 

(c+f)  cos  v  and  (c+f)  sin  v. 
Natural  functions. 


102 


TABLE  6.— STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos2i;  and  H  sin  2v. 


16° 

17° 

18° 

19° 

Hor.   Diff. 
dist.   elev. 

Ilor.   Diff. 
dist.   elev. 

Ilor.    Diff. 
dist.   elev. 

Ilor.    Diff. 
dist.   elev. 

0 
2 
4 
6 

8 

.  9240   .  2650 
.  9237   .  2655 
.  9234   .  2659 
.  9231    .  2664 
.  9228   .  2669 

.  9145   .  2796 
.  9142   .  2801 
.  9139   .  2806 
.  9135   .  2810 
.9132   .2815 

.  9045   .  2939 
.9042   .2944 
.  9038   .  2948 
.9035   .2953 
.  9031    .  2958 

.  8940   .  3078 
.  8936   .  3083 
.  8933   .  3087 
.  8929   .  3092 
.8926   .3097 

10 
12 
14 
16 
18 

.  9225   .  2674 
.  9222   .  2679 
.  9219   .  2684 
.9215   .2689 
.9212   .2694 

.  9129   .  2820 
.  9126   .  2825 
.  9122   .  2830 
.9119   .2834 
.9116   .2839 

.  9028   .  2962 
.  9024   .  2967 
.  9021    .  2972 
.  9018   .  2976 
.9014   .2981 

.8922   .3101 
.  8918   .  3106 
.8915   .3110 
.8911    .3115 
.8908   .3119 

20 
22 
24 
26 

28 

.9209   .2699 
.  9206   .  2704 
.  9203   .  2709 
.  9200   .  2713 
.9197   .2718 

.  9112   .  2844 
.  9109   .  2849 
.  9106   .  2854 
.  9102   .  2858 
.  9099   .  2863 

.9011    .2986 
.  9007    .  2990 
.  9004   .  2995 
.  9000   .  3000 
.  8997   .  3004 

.  8904   .  3124 
.  8900   .  3128 
.  8896   .  3133 
.  8893   .  3138 
.8889   .3142 

30 
32 
34 
30 
38 

.  9193   .  2723 
.  9190   .  2728 
.  9187   .  2733 
.  9184   .  2738 
.9181    .2743 

.9096   .2868 
.  9092   .  2873 
.  9089   .  2877 
.9086   .2882 
.9082   .2887 

.  8993   .  3009 
.8990   .3014 
.  8986   .  3019 
.8983   .3023 
.  8979   .  3028 

.8886   .3147 
.8882   .3151 
.8878   .3156 
.  8875   .  3160 
.8871    .3165 

40 
42 
44 
46 

48 

.9177   .2748 
.9174   .2752 
.9171    .2757 
.  9168   .  2762 
.9165   .2767 

.  9079   .  2892 
.  9076   .  2896 
.  9072   .  2901 
.  9069   .  2906 
.9066   .2911 

.8976   .3032 
.  8972   -  3037 
.89G9   .3041 
.  8965   .  3046 
.  89G1   .  3051 

.8867   .3169 
.8864   .3174 
.8860   .3178 
.8856   .3183 
.  8853   .  3187 

50 
52 
54 
56 
58 

.9161    .2772 
.  9158   .  2777 
.  9155   .  2781 
.9152   .2786 
.  9148   .  2791 

.  9062   .  2915 
.  9059   .  2920 
.  9055   .  2925 
.  9052   .  2930 
.  9048   .  2934 

.  8958   .  3055 
.  8954   .  30(iO 
.8951    .  3065 
.  8947   .  3069 
.8944   .3074 

.  8849   .  3192 
.  8845   .  3196 
.  8841    .  3201 
.  8838   .  3205 
.8834   .3209 

CO 

.  9145   .  2796 

.  9045   .  2939 

.  8940   .  3078 

.  8830   .  3214 

c+f 
0.75 
1.00 
1.25 

0.  72    0.  21 
0.  96    0.  28 
1.  20    0.  36 

0.  72    0.  23 
0.  95    0.  30 
1.19    0.38 

0.  71    0.  24 
0.  95    0.  32 
1.  19    0.  40 

0.  71    0.  25 
0.  94    0.  33 
1.18    0.42 

(c+f)  cos  v  and  (c+f)  sin  v. 
Natural  functions. 


103 


TABLE  6.-STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos^v  and  Y2  sin  2v. 


20° 

21° 

22° 

23° 

Hor.    Diff. 
dist.    elev. 

Hor.    Dili, 
dist.   elev. 

Hor.    Diff. 
dist.    elev. 

Hor.    Did. 
dist.   elev. 

0 
2 
4 
6 
8 

.8830   .3214 
.  8826   .  3218 
.  8823   .  3223 
.8819   .3227 
.8815    .3232 

.  8716   .  3346 
.8712   .3350 
.8708   .3354 
.  8704   .  3359 
.  8700   .  3363 

.  8597   .  3473 
.  8593    .  3477 
.  8589   .  3482 
.  8585    .  348(5 
.  8580   .  3490 

.8473    .3597 
.8469   .3601 
.  8465    .  3605 
.8461    .3(509 
.8457   .3013 

10 
12 
14 
16 
18 

.8811    .3236 
.8808   .3241 
.  8804   .  3245 
.  8800   .  3249 
.  8796   .  3254 

.  8696   .  3367 
.8692   .3372 
.  8688   .  3376 
.  8684   .  3380 
.8680   .3384 

.  8576   .  3494 
.  8572    .  3498 
.  8568    .  3502 
.  8564    .  3507 
.8560   .3511 

.8452   .3617 
.8448   .3621 
.  8444   .  3625 
.8440   .3629 
.  8435    .  3633 

20 
22 
24 
26 
28 

.  8793   .  3258 
.  8789   .  3263 
.8785    .3267 
.  8781    .  3272 
.8777   .3276 

.  8677   .  3389 
.  8673   .  3393 
.  8669   .  3397 
.  8665    .  3401 
.  8661    .  3406 

.8556   .3515 
.  8552   .  3519 
.  8548   .  3523 
.  8544   .  3527 
.  8540   .  3531 

.  8431    .  3637 
.8427    .3641 
.8423   .3645 
.  8418    .  3649 
.8414   .3653 

30 
32 
34 
36 
38 

.8774   .3280 
.  8770   .  3285 
.  8766   .  3289 
.  8762   .  3293 
.8758   .3298 

.8657    .3410 
.8653   .3414 
.8649   .3418 
.8645    .3423 
.8641    .3427 

.8536   .3536 
.8531    .3540 
.8527   .3544 
.  8523    .  3548 
.8519   .3552 

.8410   .3657 
.  8406    .  3661 
.  8401    .  3665 
.  8397    .  3669 
.  8393   .  3673 

40 
42 
44 

46 

48 

.8754   .3302 
.8751    .3307 
.8747   .3311 
.8743   .3315 
.  8739   .  3320 

.8637   .3431 
.  8633    .  3435 
.  8629   .  3440 
.  8625    .  3444 
.8621    .3448 

.8515    .3556 
.8511    .3560 
.  8507   .  3564 
.8502    .3568 
.  8498   .  3572 

.  8389   .  3677 
.  8384   .  3680 
.  8380   .  3684 
.  8376   .  3688 
.8372   .3692 

50 
52 
54 
56 
58 

.  8735   .  3324 
.  8731    .  3328 
.  8727   .  3333 
.  8724   .  3337 
.  8720   .  3341 

.8617   .3452 
.  8613    .  3457 
.8609   .3461 
.  8605    .  34(55 
.8601    .3469 

.8494   .3576 
.  8490   .  3580 
.  8486   .  3585 
.  8482   .  3589 
.8477   .3593 

.  8367   .  3696 
.8363   .3700 
.  8359   .  3704 
.8354   .3708 
.8350   .3712 

CO 

.  8716   .  3346 

.8597   .3473 

.  8473    .  3597 

.8346   .3716 

c+f 
0.75 
1.00 
1.25 

0.  70    0.  26 
0.  94    0.  35 
1.17    0.44 

0.  70    0.  27 
0.  93    0.  37 
1.16    0.46 

0.  69    0.  29 
0.  92    0.  38 
1.  15    0.  48 

0.  69    0.  30 
0.  92    0.  40 
1.  15    0.  50 

(c+f)  cos  v  and  (c+f)  sin  v. 
Natural  functions. 


104 


TABLE  6.-STADIA  COEFFICIENTS,  VERTICAL  ROD. 

Cos-v  and  ^  sin  2v. 


24° 

25° 

26° 

27° 

Hor.    DifT. 
dist.    elev. 

Hor.    Diff. 
dist.    elev. 

Hor.    Diff. 
dist.    elev. 

Hor.    Diff. 
dist.    elev. 

0 
2 
4 
6 
8 

.8340   .3710 
.8341    .3720 
.  8337   .  3723 
.  8333   .  3727 
.  8328   .  3731 

.  8214   .  3830 
.  8209   .  3834 
.  8205   .  3838 
.  8201    .  3841 
.  8190   .  3845 

.  8078   .  3940 
.  8074   .  3944 
.  8069   .  3947 
.  8005   .  3951 
.  8060   .  3954 

.  7939   .  4045 
.  7934   .  4049 
.  7930   .  4052 
.  7925   .  4055 
.  7920   .  4059 

10 
12 
14 
16 
18 

.8324   .3735 
.  8320   .  3739 
.8315   .3743 
.8311    .3747 
.8307   .3751 

.  8192   .  3849 
.  8187   .  3853 
.  8183   .  3850 
.  8178   .  3800 
.8174   .3864 

.8055   .3958 
.  8051    .  3961 
.  8046   .  3965 
.  8041    .  3969 
.  8037   .  3972 

.7915   .  4002 
.7911    .4000 
.  7900   .  4009 
.  7901    .  4072 
.  7890   .  4070 

20 
22 
24 
20 

28 

.  8302   .  3754 
.  8298   .  3758 
.  8293   .  3702 
.8289   .3700 
.  8285   .  3770 

.8109   .3867 
.8105   .3871 
.  SKiO   .  3875 
.  8150   .  3878 
.  8151   .  3882 

.  8032   .  3976 
.  8028   .  3979 
.  8023    .  3983 
.  8018   .  3986 
.  8014   .  3990 

.  7892   .  4079 
.  7887   .  4082 
.  7882   .  4080 
.  7877   .  4089 
.  7873   .  4092 

30 
32 
34 
36 
38 

.  8280   .  3774 
.8270   .3777 
.  8272   .  3781 
.  8207   .  3785 
.8263   .3789 

.  8147   .  3886 
.8142   .3889 
.8138   .3893 
.  8133   .  3897 
.8128   .3900 

.  8009   .  3993 
.  8004   .  3997 
.8000   .4000 
.  7995   .  4004 
.7990   .4007 

.  7808   .  4090 
.  7803   .  4099 
.  7858   .  4102 
.  7854   .  4100 
.  7849   .  4109 

40 
42 
44 
40 

48 

.8258   .3793 
.  8254   .  3796 
.  8249   .  3800 
.  8245   .  3804 
.  8241    .  3808 

.8124   .3904 
.8119   .3908 
.8115   .3911 
.8110   .3915 
.  8106   .  3918 

.  7986   .  4011 
.  7981    .  4014 
.  7976   .  4018 
.  7972   .  4021 
.  7967   .  4024 

.7844   .4112 
.7839   .4110 
.7834   .4119 
.  7830   .  4122 
.  7825   .  4120 

50 
52 
54 
50 
58 

.8230   .3811 
.  8232   .  3815 
.  8227   .  3819 
.  8223   .  3823 
.  8218   .  3820 

.8101    .3922 
.8097    .3920 
.  8092   .  3929 
.  8087   .  3933 
.8083   .3930 

.  7962   .  4028 
.  7958   .  4031 
.  7953    .  4035 
.  7948   .  4038 
.  7944   .  4042 

.7820   .4129 
.  7815   .  4132 
.7810   .4135 
.  7800   .  4139 
.  7801   .  4142 

GO 

.8214   .  3830 

.  8078   .  3940 

.  7969   .  4045 

.  7796   .  4145 

c+f 
0.75 
1.00 
1.25 

0.  08    0.  31 
0.91    0.41 
1.  14    0  52 

0.  08    0.  32 
0.  90    0.  43 
1.  13    0.  54 

0.67  .   0.33 
0.  89    0.  45 
1.  12    0.  50 

0.  66    0.  35 
0.  89    0.  46 
1.  11    0.  58 

(c+/)  cos  v  and  (c+/)  sin  v. 
Natural  functions. 


105 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


t 

0° 

1° 

2°     j 

3° 

4° 

Sine. 

Cosin. 

Sine.  1  Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

0 

.  00000 

One. 

.  01745  .  99985 

.  03490 

.  99939 

.  05234 

.99863 

.  06976 

.  99750  00 

1 

.  00029 

One. 

.01774  .99984 

.03519 

.  99938 

.  05263 

.  99361 

.  07005 

.  99754  59 

2 

.  00058 

One. 

.01803)  .99984 

.  03548 

.99937 

.  05292 

.  99860 

.  07034 

.  99752  58 

3 

.  00087 

One. 

.01832  .99983 

.  03577 

.  99936 

.  05321 

.99858 

.  07003 

.  99750  57 

4 

.00116 

One. 

.01862  .99983 

.03606 

.  99935 

.  05350 

.  99857 

.  07092 

.  99748  56 

.00145 

One. 

.01891  .99982 

.  03635 

.  99934 

.  05379 

.  99855 

.  07121 

.  99746  55 

fl 

.  00175 

One. 

.  01920i  .  99982 

.  03664 

.  99933 

.054081  .99854 

.  07150 

.  99744  54 

7 

.  00204 

One. 

.01949  .99981 

.  03693 

.  99932 

.05437  .99S52 

.  07179 

.  99742  53 

X 

.  00233 

One. 

.01978  .99980 

.  03723 

.  99931 

.05466 

.99851 

.  07208 

.  99740  52 

I 

.  002G2 

One. 

.02007  .99980 

.  03752 

.  99930 

.  05495 

.  99849 

.  07237 

.  99738  51 

10 

.00291 

One. 

.02036 

.  99979 

.  03781 

.  99929 

.  05524 

.  99847 

.  07266 

.  99736  50 

11 

.00320 

.  99999 

.02065 

.99979 

.  03810 

.99927 

.  05553 

.  99846 

.  07295 

.  99734  19 

12 
13 

11 

.00349 
.  00378 
.  00407 

.  99399 
.  99999 
.  99999 

.02094 
.  02123 
.  02152 

.  99978 
.  99977 
.  99977 

.  03839 
.  03868 
.  03897 

.  99926 
.  99925 
.  99924 

.  05582 
.  05611 
.  05640 

.  99844 
.  99842 
.  99S41 

.  07324 
.  07353 
.  07382 

.9973148 
.  99729  47 
.  99727  46 

15 

.  0043(5 

.  99999 

.  02181 

.  99976 

.  03926 

.  99923 

.  05669 

.  99839 

.07411 

.  99725  45 

11 

.00465 

.  99999 

.02211 

.  99976 

.  03955 

.99922 

.  05698 

.99838 

.  07440 

.  99723  44 

17 

.00495 

.  99999 

.  02240 

.  99975 

.  03984 

.  99921 

.  05727 

.  99836 

.  07469 

.  99721  43 

18 

.00524 

.  99999 

.  02269 

.  99974 

.  04013 

.  99919 

.  05756 

.  99834 

.  07498 

.  99719  42 

19 

.  00553 

.  99998 

.02298 

.  99974 

.  04042 

.  99918 

.05785 

.  99833 

.  07527 

.  99716 

41 

20 

.00582 

.99998 

.  02327 

.99973 

.  04071 

.  99917 

.  05814 

.99831 

.  07556 

.  99714 

40 

21 

.00611 

.99998 

.  02356 

.  99972 

.04100  .99916 

.  05844 

.  99829 

.07585 

.  99712 

39 

22 

.  00640 

.  99998 

.  023S5 

.  99972 

.04129  .99915 

.  05873 

.  99827 

.  07614 

.  99710 

38 

23 

.00669 

.  99998 

.02414 

.  99971 

.04159]  .99913 

.  05902 

.  99826 

.  07643 

.  9970S 

37 

24 

.00098 

.99998 

.  02443 

.  99970 

.04188'  .99912 

.  05931 

.99824 

.  07672 

.  99705 

36 

25 

.00727 

.99997 

.  02472 

.  99969 

.042171  .99911 

.  05960 

.99822 

.  07701 

.  99703 

35 

2f 

.  00756 

.99997 

.  02501 

.99969 

.042  Hi!  .99910 

.05989 

.99821 

.  07730 

.  99701 

34 

27 

.00785 

.  99997 

.  02530 

.  99968 

.042751  .99909 

.06018 

.  99819 

.  07759 

.  99699 

33 

2* 

.00814 

.  99997 

.  02560 

.99967 

.043041  .99907 

.  06047 

.  99817 

.  07788 

.  99696 

32 

29 

.00844 

.99996 

.02589 

.  99966 

.04333  .99906 

.  06076 

.99815 

.07817 

.  99694 

31 

30 

.00873 

.99996 

.  02618 

.99966 

.  04362 

.  99905 

.06105 

.  99813 

.  07846 

.99692 

30 

31 

.00902 

.  99996 

.  02647 

.99965 

.  04391 

.99904 

.  06134 

.  99812 

.  07875 

.  99689 

29' 

32 

.  00931 

.  99996 

.  02676 

.  99964 

.  04420 

.99902 

.  06163 

.  99810 

.  07904 

.99687 

28 

33 

.00960 

.  99995 

.  02705 

.  99963 

.  04449 

.99901 

.  06192 

.  99808 

.  07933 

.  99685 

27 

34 

.00989 

.  99995 

.  02734 

.99963 

.  04478 

.99900 

.06221 

.  99SO(i 

.07962 

.99683 

26 

35 

.01018 

.  99995 

.  02763 

.  99962 

.04507 

.  99898 

.06250 

.99804 

.  07991 

.99680 

25 

31 

.  01047 

.  99995 

.  02792 

.99961 

.  04536 

.  99897 

.06279 

.99803 

.  08020 

.99678 

24 

37 

.  01076 

.  99994 

.  02821 

.  99960 

.04565 

.998% 

.06308 

.  99801 

.  08049 

.  99676 

23 

38 

.01105 

.99994 

.  02850 

.  99959 

.  04594 

.  99894 

.06337 

.  99799 

.  0807S 

.  99673 

22 

39 

.  01134 

.  99991 

.  02879 

.  99959 

.04623 

.  99893 

.  06366 

.  99797 

.  08107 

.  99671 

21 

40 

.01164 

.  99993 

.02908 

.  99958 

.04653 

.  99892 

.06395 

.  99795 

.  08136 

.  99668 

20 

41 

.  01193 

.99993 

.  02938 

.99957 

.  046S2 

.99890 

.06424 

.  99793 

.08165 

.  99666 

19 

42 

.  01222 

.  99993 

.  02967 

.  99956 

.  04711 

.  99889 

.  06453 

.99792 

.  08194 

.  99664 

18 

43 

.  01251 

.  99992 

.02996 

.  99955 

.  04740 

.  99888 

.  06482 

.99790 

.  08223 

.  99661 

17 

44 

.  01280 

.  99992 

.  03025 

.  99954 

.  04769 

.99886 

.06511 

.  99788 

.08252 

.99659 

16 

45 

.  01309 

.  99991 

.  03054 

.  99953 

.  04798 

.99885 

.06540 

.99786 

.  08281 

.99657 

15 

4( 

.  01338 

.  99991 

.  03083 

.  99952 

.04827 

.99883 

.  06569 

.  99784 

.  08310 

.99654 

14 

47 

.  01367 

.99991 

.  03112 

.  99952 

.04856 

.  99882 

.  06598 

.99782 

.  08339 

.  99652 

13 

48 

.  01396 

.99990 

.  03141 

.  99951 

.  04885 

.  99881 

.  06627 

.99780 

.  08368 

.99649 

12 

49 

.  01425 

.  99990 

.  03170 

.  99950 

.  04914 

.  99879 

.06656 

.99778 

.  08397 

.99647 

11 

50 

.01454 

.  99989 

.  03199 

.  99949 

.04943 

.  99878 

.06685 

.  99776 

.  08426 

.  99644 

10 

51 

.01483 

.  99989 

.  03228 

.  99948 

.  04972 

.  99876 

.06714 

.  99774 

.  08455 

.99642 

9 

K 

.  01513 

.99989 

.  03257 

.  99947 

.05001 

.  99875 

.  06743 

.99772 

.  08484 

.  99639 

8 

53 

.  01542 

.  99988 

.  03286 

.99946 

.  05030 

.  99873 

.06773 

.  99770 

.08513 

.99637 

7 

5 

.  01571 

.  99988 

.  03316 

.99945 

.  05059 

.  99872 

.06802 

.  99768 

.08542 

.  99635 

a 

M 

.01600 

.  99987 

.  03345 

.  99944 

.05088 

.  99870 

.  06831 

.99766 

.08571 

.  99632 

5 

5C 

.  01629 

.  99987 

.  03374 

.  99943 

.05117 

.  99869 

.06860 

.  99764 

.08600 

.  99630 

4 

57 

.01658 

.  99986 

.  03403 

.  99942 

.  05146 

.  99S67 

.  06889 

.  99762 

.  08629 

.  99627 

3 

58 

.  01687 

.  99986 

.  03432 

.  99941 

.  05175 

.  99866 

.06918 

.99760 

.  08658 

.  99625 

2 

59 

.  01716 

.  99985 

.  03461 

.99940 

.05205 

.  99864 

.  06947 

.  99758 

.08687 

.99622 

1 

(i( 

.  01745 

.  99985 

.03490 

.  99939 

.  05234 

.  99863 

.  06976 

.  99756 

.  08716 

.99619 

0 

p 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

f 

89° 

88° 

87° 

86° 

85° 

106 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


5°         6° 

7° 

8° 

9° 

/ 

Sine.  I  Cosin.  Sine,  j  Cosin.  ; 

Sine.  Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

0 

.08716  .99619 

.10453  .99452 

.12187  .99255 

.  13917 

.  99027 

.  15643 

.  98769 

60 

1 

.08745  .99617  .10482  .99449! 

.12216  .99251 

.  13946 

.  99023 

.  15672 

.9876459 

2 

.08774  .99614  .10611]  .99446 

.12245  .99248 

.  13975 

.  99019 

.  15701 

.9876058 

3 

.08803  .99612 

.10540  .99443 

.12274  .99244 

.14004 

.99015 

.  15730 

.9875557 

4 

.08831  .99609 

.10569  .99440 

.12302  .99240 

.  14033 

.99011 

.  15758 

.  98751  56 

5 

.08860  .99607 

.10597  .99437 

.12331  .99237 

.14061 

.99006 

.  15787 

.9874655 

(', 

.  08889 

.  99604 

.10626|  -99434 

.12360  .99233 

.14090 

.99002 

•15816 

.  98741 

54 

7 

.08918 

.99602 

.10655  -99431 

.12389  .99230 

.14119 

.98998 

.  15845 

.98737 

53 

8 

.08947  .99599 

.10684  .99428 

.12418  .99226 

.  14148 

.  98994 

.  15873 

.98732 

52 

g 

.08976  .99596 

.10713  -99424 

.12447  .99222 

.  14177 

.  98990 

.  15902 

.98728 

51 

10 

.09005  .99594 

.  10742 

.  99421 

.12476  .99219! 

.  14205 

.  98986 

.  15931 

.  98723 

50 

11 

.  09034 

.  99591 

.  10771 

.99418 

.12504  .99215 

.  14234 

.  98982 

.  15959 

.98718 

49 

12 

.  09063 

.  99588 

.  10800 

.99415 

.12533  .99211 

.  14263 

.  98978 

.  15988 

.98714 

48 

13 

.  09092 

.  99586 

.  10829 

.  99412 

.12562  .99208 

.  14292 

.98973 

.16017 

.  98709 

47 

11 

.09121 

.  99583 

.  10858 

.  99409 

.12591  .99204 

.  14320 

.  98969 

.  16046 

.  98704 

46 

1  5 

.09150 

.99580 

.  10887 

.  99406 

.12620:  .99200 

.  14349 

.  98965 

.16074 

.98700 

45 

10 

.09179 

.  99578 

.10916 

.  99402 

.12649J  .99197 

.  14378 

.  98961 

.  16103 

.  98695 

44 

17 

.  09208 

.  99575 

.  10945 

.99399 

.12678!  .99193 

.  14407 

.  98957 

.  16132 

.  98690 

43 

18;  .09237 

.99572 

.  10973 

.  99396 

.  12706 

.  99189 

.  14436 

.  98953 

.  16160 

.  98686 

42 

ig:  .09266 

.  99570 

.11002 

.  99393 

.  12735 

.  99186 

.14464 

.  98948 

.16189 

.  98681 

41 

20  -09295 

.  99567 

.  11031 

.  99390 

.  12764 

.  99182 

.  14493 

.  98944 

.  16218 

.  98676 

40 

21  .09324 

.  99564 

.11060 

.  99386 

.  12793 

.  99178 

.  14522 

.  98940 

.  16246 

.  98671 

39 

22^  .09353 

.  99562 

.  11089 

.  99383 

.  12822 

.  99175 

.  14551 

.  98936 

.  16275 

.  98667 

38 

23  -09382 

.99559 

.11118 

.  99380 

.  12851 

.99171 

.  14580 

.98931 

.  16304 

.  98662 

37 

24]  .09411 

.  99556 

.11147 

.  99377 

.  12880 

.  99167 

.14608 

.  98927 

.  16333 

.  98657 

36 

25  .09440 

.  99553 

.11176 

.  99374 

.12908 

.  99163 

.  14637 

.98923 

.  16361 

.  98652 

35 

26]  .09469 

.  99551 

.  11205 

.  99370 

.  12937 

.  99160 

.  14666 

.  98919 

.  16390 

.  98648 

34 

27,  .09498 

.  99548 

.  11234 

.  99367 

.  12966 

.  99156 

.  14695 

.  98914 

.  16419 

.98643133 

281  .09527 

.  99545 

.  11263 

.  99364 

.  12995 

.99152 

.  14723 

.  98910 

.  16447 

.  98638  32 

29  .09556 

.99542 

.  11291 

.  99360 

.  13024 

.  99148 

.  14752 

.98906 

.  16476 

.  98633|31 

30  .09585 

.99540 

.  11320 

.  99357 

.  13053 

.  99144 

.  14781 

.  98902 

.16505 

.  98629  30 

31  .09614 

.  99537 

.  11349 

.  99354 

.  13081 

.  99141 

.  14810 

.98897 

.  16533 

.  98624  29 

32  .09642 

.  99534 

.  11378 

.  99351 

.13110 

.  99137 

.  14838 

.  98893 

.  16562 

.  98619 

28 

33!  -09671 

.  99531 

.  11407 

.  99347 

.  13139 

.  99133 

.  14867 

.98889 

.  16591 

.98614 

27 

31 

.09700 

.  99528 

.  11436 

.  99344 

.  13168 

.  99129 

.  14896 

.98884 

.  16620 

.98609 

26 

35 

.  09729 

.  99526 

.11465 

.  99341 

.  13197 

.99125 

.  14925 

.98880 

.  16648 

.  98604 

25 

36 

.  09758 

.  99523 

.  11494 

.  99337 

.  13226 

.  99122 

.  14954 

.  98876 

.16677 

.98600 

24 

37  .09787 

.99520 

.11523 

.  99334 

.  13254 

.99118 

.  14982 

.98871 

.  16706 

.  98595 

23 

38  .09816 

.  99517 

.  11552 

.  99331 

.  13283 

.99114 

.15011 

.  98867 

.  16734 

.  98590|22 

391  .09845 

.99514 

.  11580 

.  99327 

.  13312 

.  99110 

.15040 

.  98863 

.  16763 

.  98585  21 

40  .09874 

.99511 

.11609 

.  99324 

.  13341 

.  99106 

.15069 

.98858 

.  16792 

.9858020 

41 

.09903 

.  99508 

.11638 

.99320 

.  13370 

.99102 

.15097 

.98854 

.  16820 

.  98575  19 

42  .09932 

.  99506 

.  11667 

.  99317 

.13399 

.99098 

.  15126 

.  98849 

.  16849 

.9857018 

43  .09961 

.  99503 

.  11696 

.  99314 

.  13427 

.99094 

.  15155 

.  98845 

.  16878 

.98565117 

44  .09990 

.  99500 

.  11725 

.  99310 

.  13456 

.99091 

.  15184 

.  98841 

.16906 

.  98561 

16 

45 

.10019 

.  99497 

.  11754 

.  99307 

.  13485 

.  99087 

.  15212 

.98836 

.  16935 

.  9855f 

15 

46 

.10048 

.  99494 

.  11783 

.99303 

.  13514 

.  99083 

.  15241 

.  98832 

.  16964 

.  98551 

14 

47 

.10077 

.  99491 

.11812 

.  99300 

.  13543 

.  99079 

.  15270 

.98827 

.  16992 

.98546113 

48 

.  10106 

.99488 

.  11840 

.  99297 

.  13572 

.99075 

.  15299 

.  98823 

.  17021 

.  98541 

12 

49 

.  10135 

.  99485 

.  11869 

.  99293 

.13600 

.99071 

.  15327 

.98818 

.17050 

.98536 

11 

90 

.  10164 

.  99482 

.  11898 

.99290 

.  13629 

.  99067 

.  15356 

.  98814 

.  17078 

.98531 

10 

51 

.  10192 

.  99479 

.  11927 

.  99286 

.  13658 

.  99063 

.  15385 

.98809 

.  17107 

.  98526 

9 

52 

.  10221 

.  99476 

.11956 

.  99283 

.  13687 

.  99059 

.  15414 

.98805 

.  17136 

.  98521 

8 

to 

.10250 

.  99473 

.  11985 

.  99279 

.  13716 

.  99055 

.  15442 

.  98800 

.  17164 

.  98516 

7 

54 

.  10279 

.  99470 

.  12014 

.  99276 

.  13744 

.  99051 

.15471 

.  98796 

.17193 

.  98511 

6 

55 

.  10308 

.  99467 

.  12043 

.  99272 

.  13773 

.  99047 

.15500 

.98791 

.17222 

.98506 

5 

56 

.  10337 

.99464 

.  12071 

.  99269 

.  13802 

.99043 

.  15529 

.  98787 

.  17250 

.  98501 

4 

57 

.  10366 

.  99461 

.12100 

.  99265 

.  13831 

.  99039 

.  15557 

.  98782 

.  17279 

.  98496 

3 

58 

.  10395 

.  99458 

.  12129 

.  99262 

.13860 

.  99035 

.  15586 

.  98778 

.  17308 

.  98491 

2 

59 

.  10424 

.  99455 

.12158 

.  99258 

.13889 

.  99031 

.  15615 

.  98773 

.  17336 

.  98486 

1 

60 

.10453 

.  99452 

.  12187 

.  99255 

.  13917 

.  99027 

.15643 

.  98769 

.  17365 

.  98481 

0 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

84° 

83° 

82° 

81° 

80° 

107 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


10° 

11° 

12° 

13° 

14° 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine.  |  Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

u 

.  17365 

.98481 

.  19081 

.98163 

.  20791 

.  97815 

.  22495 

.97437 

.24192  .97030  CO 

1 

.  17393 

.  98476 

.  19109 

.  98157 

.20820  .97809 

.  22523 

.  97430 

.24220  .97023 

SO 

2 

.  17422 

.98471 

.  19138 

.  98152 

.208481  .97803 

.  22552 

.97424 

24249  .9701558 

3 

.  17451 

.  98466 

.  19167 

.  98146 

.20877  .97797 

.  22580 

.97417 

.24277  .97008 

57 

4 

.  17479 

.  98461 

.  19195 

.98140 

.20905  .97791 

.22608 

.97411 

.24305 

.  97001  56 

5 

.17508 

.  98455 

.  19224 

.98135 

.20933  .97784 

.22637 

.97404 

.  24333 

.  96994 

55 

6 

.17537 

.98450 

.  19252 

.98129 

.20962 

.  97778 

.  22665 

.  97398 

.  24362 

.96987 

54 

7 

.17565 

.98445 

.  19281 

.  98124 

.  20990 

.  97772 

.  22693 

.97391 

.  24390 

.96980 

S3 

8 

.  17594 

.98440 

.19309 

.98118 

.21019 

.97766 

.  22722 

.97384 

.  24418 

.  96973 

52 

9 

.  17623 

.  98435 

.  19338 

.98112 

.  21047 

.97760 

.22750 

.  97378 

.  24446 

.96966151 

10 

.  17651 

.  98430 

.  19366 

.  98107 

.  21076 

.97754 

.  22778 

.  97371 

.  24474 

.  96959 

50 

11 

.17680 

.  98425 

.  19395 

.  98101 

.  21104 

.  97748 

.22807 

.  97365 

.  24503 

.  96952 

49 

12 

.  17708 

.  98420 

.  19423 

.98096 

.21132 

.  97742 

.  22835 

.  97358 

.24531 

.  96945 

48 

13 

.  17737 

.  98414 

.  19452 

.98090 

.21161 

.  97735 

.22863 

.  97351 

.  24559 

.96937 

47 

14 

.17766 

.98409 

.19481 

.98084 

.21189 

.  97729 

.22892 

.97345 

.24587 

.96930 

46 

1$ 

.  17794 

.98404 

.19509 

.98079 

.21218 

.  97723 

.  22920 

.97338 

.24615 

.  96923 

45 

Hi 

.  17823 

.98399 

.19538 

.98073 

.  21246 

.97717 

.  22948 

.  97331 

.24644 

.96916 

44 

17 

.  17852 

.  98394 

.19566 

.  9,8067 

.21275 

.97711 

.  22977 

.  97325 

.  24672 

.  96909 

13 

IS 

.17880 

.93389 

.  19595 

.98061 

.21303 

.  97705 

.23005 

.97318 

.  24700 

.96902 

42 

19 

.  17909 

.98383 

.  19623 

.98056 

.  21331 

.  97698 

.  23033 

.97311 

.  24728 

.  96894 

11 

20 

.  17937 

.  98378 

.  19652 

.98050 

.21360 

.  97692 

.23062 

.  97304 

.  24756 

.96887 

40 

21 

.  17966 

.98373 

.19680 

.98044 

.21388 

.97686 

.23090 

.97298 

.  24784 

.96880 

.39 

22 

.  17995 

.98368 

.  19709 

.98039 

.21417 

.97680 

.23118 

.  97291 

.  24813 

.  96873 

88 

2:5 

.  18023 

.98362 

.  19737 

.98033 

.  21445 

.97673 

.  23146 

.97284 

.  24841 

.  96866 

37 

24 

.18052 

.98357 

.  19766 

.98027 

.  21474 

.  97667 

.23175 

.97278 

.  24869 

.96858 

30 

25 

.  18081 

.98352 

.  19794 

.98021 

.21502 

.97661 

.23203 

.  97271 

:  24897 

.96851135 

26 

.  18109 

.  98347 

.  19823 

.98016 

.  21530 

.  97655 

.  23231 

.97264 

.  24925 

.96844 

84 

27 

.  18138 

.98341 

.19851 

.98010 

.  21559 

.97648 

.23260 

.  97257 

.  24954 

.96837 

S3 

28 

.  18166 

.98336 

.19880 

.98004 

.21587 

.97642 

.  23288 

.97251 

.  24982 

.  96829132 

29 

.  18195 

.  98331 

.  19908 

.97998 

.21616 

.  97636 

.23316 

.  97244 

.  25010 

.  96822 

SI 

30 

.  18224 

.98325 

.  19937 

.97992 

.21644 

.97630 

.  23345 

.  97237 

.25038 

.  96815,30 

31 

.  18252 

.98320 

.  19965 

.97987 

.  21672 

.  97623 

.23373 

.  97230 

.25066 

.96807 

29 

32 

.  18281 

.98315 

.  19994 

.97981 

.  21701 

.  97617 

.  23401 

.  97223 

.25094 

.96800 

2,8 

33 

.18309 

.98310 

.  20022 

.  97975 

.  21729 

.97611 

.  23429 

.97217 

.  25122 

.96793527 

34l  .18338 

.98304 

.20051 

.  979G9 

.21758 

.97004 

.  23458 

.  97210 

.  25151 

.  96786 

26 

35 

.  18367 

.98299 

.20079 

.97963 

.217861  -97598 

.  23486 

.97203 

.  25179 

.96778J25 

36 

.  18395 

.  98294 

.  20108 

.  979,58 

.21814  .97592 

.  23514 

.97196 

.  25207 

.  96771 

24 

37 

.  18424 

.98288 

.  20136 

.  97952 

.21843  .97585 

.23542 

.  97189 

.25235 

.96764123 

38 

.  18452 

.98283 

.20165 

.  97946 

.  21871 

.  97579 

.  23571 

.  97182 

.  25263 

.  96756 

22 

39 

.  18481 

.  98277 

.  20193 

.  97940 

.  21899 

.97573 

.  23599 

.  97176 

.  25291 

.  96749 

21 

40 

.18509 

.98272 

.  20222 

.  97934 

.  21928 

.  97566 

.23627 

.  97169 

.25320 

.  96742-20 

41 

.  18538 

.  98267 

.20250  .97928 

.  21956 

.97560 

.  23656 

.97162 

.25348 

.  96734  '  19 

42 

.18567 

.  98261 

.20279  .97922 

.21985 

.  97553 

.23684 

.  97155 

.  25376 

.  96727  18 

43 

.  18595 

.98256 

.203071  .97916 

.22013 

.  97547 

.  23712 

.97148 

.25404 

.  96719 

17 

44 

.  18624 

.98250 

.20336  .97910 

.  22041 

.  97541 

.  23740 

.97141 

.25432 

.  96712 

If) 

45 

.18652 

.  98245 

.20364  .97905 

.  22070 

.  97534 

.23769 

.97134 

.25460 

.9670515 

46 

.18681 

.98240 

.20393  .97899 

.  22098 

.97528 

.  23797 

.97127 

.25488 

.  96697 

14 

47 

.  18710 

.  98234 

.20421  .97893 

.  22126 

.  97521 

.  23825 

.  97120 

.  25516 

.9669013 

48 

.  18738 

.  98229 

.20450  .97887 

.22155 

.  97515 

.  23853 

.97113 

.2504.-)  .96682 

12 

49 

.  18767 

.  98223 

.  20478 

.97881 

.22183 

.  97508 

.23882 

.  97106 

.25573  .9667511 

50 

.  18795 

.  98218 

.20507 

.  97875 

.  22212 

.97502 

.  23910 

.97100 

.25601 

.  96667 

10 

51 

.18824 

.  98212 

.  20535 

.  97869 

.  22240 

.97496 

.  23938 

.  97093 

.  25629 

.96660 

9 

52 

.18852 

.  98207 

.20563 

.  97863 

.  22268 

.  97489 

.  23966 

.97086 

.  25657 

8 

63 

.18881 

.98201 

.20592 

.  97857 

.  22297 

.97483 

.  23995 

.  97079 

.25685 

.  96645 

7 

54 

.  18910 

.  98196 

.  20620 

.  97851 

.  22325 

.  97476 

.  24023 

.  97072 

.  25713 

.96638 

6 

55 

.  18938 

.98190 

.20649 

.  97845 

.22353 

.  97470 

.  24051 

.  97065 

.  25741 

.  96630 

5 

56 

.  18967 

.98185 

.  20677 

.  97839 

.  22382 

.  97463 

.  24079 

.  97058 

.  25769 

.  96623 

4 

57 

.18995 

.  98179 

.20706 

.  97833 

.  22410 

.  97457 

.  24108 

.  97051 

.  25798 

.96(115 

3 

58 

.  19024 

.  98174 

.  20734 

.  97827 

.  2243S 

.97450 

.  24136 

.  97044 

.25826  .96608 

2 

69 

.19052 

.98168 

.20763 

.  97821 

.  22467 

.  97444  j 

.  24164 

.  97037 

.25854  .96600 

1 

60 

.19081 

.98163 

.20791 

.  97815 

.  22495 

.  97437 

.  24192 

.  97030 

.25882  .96593 

0 

t 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

79° 

78° 

77° 

76° 

75° 

108 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


15° 

16° 

17° 

18° 

19° 

Sine.  |  Cosin.  j 

Sine. 

Cosin. 

Sine.  ,  Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

0  .25882 

.  96593i 

.27564 

.  96126 

.29237|  .95630 

.  30902 

.  95106 

.  32557 

.  94552 

30 

11  .25910 

.  965S51 

.  27592 

.  96118, 

.29265  .95622 

.  30929 

.  95097 

.  32584 

.9454259 

2 

.  25938 

.  96578  i 

.  27620 

.96110 

.29293  .95613 

.  30957 

.95088 

.  32612 

.  94533  58 

3 

.  25966 

.  96570 

.  27648 

.  96102 

.29321  .95605 

.  30985 

.  950795 

.  32639 

.  94523  57 

4 

.  25994 

.  96562 

.  27676 

.  90094 

.29348;  .95596 

.  31012 

.  95070 

.  32667 

.  94514  56 

5 

.  26022 

.  96555 

.  27704 

.96086 

.29376  .95588 

.  31040 

.95061 

.  32694 

.94504:55 

I 

.  26050 

.96547' 

.  27731 

.  96078 

.  29404 

.  95579 

.  31068 

.  9.5052 

.  32722 

.  94495'54 

7 

.  26079 

.  96540! 

.  27759 

.  96070: 

.29432  .95571 

.  31095 

.  95043 

.  32749 

.  94485;53 

8 

.  26107 

.  96532; 

.  27787 

.  96062; 

.29460  .95562 

.31123 

.95033 

.  32777 

.  94476  52 

9 

.  20135 

.  96524 

.  27815 

.  960541 

.  29487 

.  95554 

.31151 

.  95024! 

.  32804 

.  94466;51 

10 

.  26163 

.  96517 

.  27843 

.  96040 

.  29515 

.  95545 

.  31178 

.  95015J 

.  32832 

.9445750 

11 

.  26191 

.  96509 

.  27871 

.  96037: 

.  29543 

.  95536 

.  31200 

.  95006 

.  32859 

.  94447  49 

12 

.  26219 

.  96502 

.  27899 

.  96029 

.  29571 

.  95528 

.  31233 

.  94997 

.  32887 

.9443848 

13 

.  26247 

.  96494 

.  27927 

.  96021 

.  29599 

.  95519 

.  31261 

.  94938 

.  32914 

.  94428  47 

14 

.  26275 

.  96486 

.  27955 

.96013 

.  29626 

.95511 

.  31289 

.  94979 

.  32942 

.  94418  46 

15 

.  26303 

.  96479 

.  279S3 

.96005 

.  29654 

.95502 

.31310 

.  94970 

.  329G9 

.9440945 

10 

.  26331 

.  96471 

.2-  Oil 

.  95997: 

.  29uS2 

.  95493 

.  31344 

.  94961 

.  32997 

.94399'44 

17 

.  26359 

.  964(53 

.  2S039 

.  95989! 

.  29710 

.95485  .31372 

.  94952; 

.  33024 

.  94390  43 

IS:  .26387 

.  96456 

.  28067 

.95981! 

.  29737 

.  954761 

.31399 

.  94943; 

.  33051 

.  94380  42 

19'  .26415 

.  96448 

.  28095 

.95972! 

.  29765 

.  95467 

.31427 

.  94933 

.33079  .9437041 

20;  .26443 

.  96440 

.28123 

.  95964 

.  29793 

.  954591 

.  31454 

.  94924 

.33106 

.  94361  40 

211  .26471 

.  96433 

.  28150 

.  95956 

.  29821 

.  95450 

.  31.482 

.  94915 

.  33134 

.  94351  39 

22:  .26500 

.96425 

.  28178 

.95948! 

.29849 

.95441 

.  31510 

.  94906 

.  33161 

.9434238 

23  .2652S 

.  96417 

.  28206 

.  95940: 

.  29876 

.  95433 

.31537 

.  94897 

.  331S9 

.9433237 

24i  .26556 

.  96410 

.28234 

.  95931 

.  29904 

.95424 

.  31565 

.94888 

.  33216 

.9432236 

25'  .26584 

.  96402 

.  28262 

.  95923 

.  29932 

.  95415 

.  31593 

.  94878 

.  33244 

.94313!35 

26!  .26612 

.96394 

.  28290 

.  95915 

.  29960 

.  95407 

.  31620 

.  94869 

.  33271 

.  94303  34 

27!  .26640 

.96386 

.28318 

.95907 

.  29987 

.  95398 

.  31648 

.  94860 

.  33298 

.  94293  33 

28  .26668 

.  96379 

.  28346 

.  95898 

.30015 

.  95389 

.  31675 

.  94851 

.  33326 

.  94284  32 

29  .26696 

.96371 

.28374 

.  95890 

.  30043 

.  95380 

.  31703 

.  94842 

.  33353 

.  94274'31 

30j  .26724 

.96363 

.  28402 

.  95S82 

.  30071 

.95372 

.  31730 

.  94832 

.  33381 

.  94264  30 

31  .26752 

.  96355 

.  28429 

.  95874 

.  30098 

.95363 

.31758 

.  94823 

.  3340S 

.  94254  29 

32  .20780 

.  96347 

.  28457 

.95865 

.  30126 

.95354 

.  31786 

.  94814 

.  33436 

.  94245!28 

33!  .26308 

.  96340 

.  28485 

.  95857 

.  30154 

.  95345 

.  31813 

.  94805 

.  33463 

.  94235!27 

34  .2(1836 

.  96332 

.  28513 

.  95849 

.  30182 

.  95337 

.  31841 

.  94795 

.  33490 

.  94225'26 

35  .26864 

.  96324 

.  28541 

.95841 

.  30209 

.  95328 

.  31868 

.  94786 

.  33518 

.  94215125 

36  .26892 
371  .26920 

.96316 
.  96308 

.  28569 
.  28597 

.  95832 
.95824 

.  30237 
.  30265 

.  95319 
.  95310 

.  31896 
.  31923 

.  94777 
.94768 

.  33545 
.  33573 

.  94206  24 
.  94196  23 

38  .26948 

.9(5301 

.  28625 

.95816 

.  30292 

.  95301 

.  31951 

.  94758 

.  33600 

.  94186*22 

39  .26976 

.  96293 

.  28652 

.  95807 

.  30320 

.  95293 

.  31979 

.  94749 

.  33627 

.  94176!21 

40  .27004 

.96285 

.28680 

.  95799 

.  30348 

.  95284 

.32006 

.  94740 

.  33655 

.  94167 

20 

41  .27032 

.  96277 

.  28708 

.  95791 

.  30376 

.  95275 

.  32034 

.  94730 

.  33682 

.  94157 

19 

42 

.  27060 

.  96269 

.  28736 

.  95782 

.  30403 

.  95266 

.  32061 

.  94721 

.  33710 

.  94147 

18 

43 

.  27088 

.  96261 

.  28764 

.  95774 

.  30431 

.  95257 

.  32089 

.  94712 

.  33737 

.  94137 

17 

44 

.27116 

.  96253 

.  28792 

.  95766 

.  30459 

.  95248 

.32116 

.  94702 

.  33764 

.  94127 

16 

45  .27144 

.  96246 

.  28820 

.  95757 

.  30486 

.  95240 

.  32144 

.  94693 

.  33792 

.  94118 

15 

46  .27172 

.  96238 

.  28847 

.  95749 

.  30514 

.  95231 

.  32171 

.94684 

.  33819 

.  94108 

14 

47 

.27200 

.  96230 

.  28875 

.  95740 

.  30542 

.  95222 

.  32199 

.  94674 

.  33846 

.  94098 

13 

48 

.  27228 

.  96222 

.  28903 

.  95732 

.  30570 

.  95213 

.  32227 

.  94665 

.  33874 

.94088 

12 

49  .27251 

.  96214 

.28931 

.  95724 

.  30597 

.  95204 

.  3225' 

.  94656 

.  33901 

.9407811 

50  .27284 

.  96206 

.  28959 

.  95715 

.  30625 

.  95195 

.  32282 

.  94646 

.33929 

.94068 

10 

51  .27312 

.  96198 

.  28987 

.  95707 

.  30653 

.  95186 

.  32309 

.  94637 

.  3395f 

.94058 

9 

5'J  .27340 

.  96190 

.  29015 

.  9569S 

.30680 

.  95177 

.  3233" 

.  9462" 

.  33983 

.  94049 

8 

53  1  .27368 

.  96182 

.29042 

.  95690 

.  30708 

.  95168 

.  32364 

.  94618 

.34011 

.  94039 

7 

54  .27396 

.  96174 

.  29070 

.  95681 

.  30736 

.  95159 

.  32392 

.  94609 

.  34038 

.  94029 

6 

55  .27424 

.96166 

.  2909S 

.  95673 

.  30763 

.95150 

.  32419 

.  94599 

.  34065 

.  94019 

5 

56;  .27452  .96158 

.  29126 

.  95664 

.  30791 

.  95142 

.  32447 

.  94590 

.  34093 

.  94009 

4 

57:  .274SO  .96150 

.29154 

.  95656 

.30819  .95133 

.  32474 

.  94580 

.  3412C 

.  93999 

3 

58  .275081  .96142 

.  2918L 

.  95647 

.30846  .95124 

.32502 

.9457 

.34147 

.  93989 

2 

59  .27536  .96134 

.  29209 

.  95639 

.30874  .95115 

.  3252" 

.9456 

.  3417«r 

.  93979 

1 

60!  .27564  .96126 

.  2923" 

.  95630 

.  30902 

.  95106 

.  32557 

.  94552 

.  34201 

.  93969 

0 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

, 

74° 

73° 

72° 

71° 

70° 

109 


TABLE  7.-NATUBAL  SINES  AND  COSINES. 


, 

2O° 

21° 

22° 

23° 

24° 

/ 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

0 

.  34202 

.  93969 

.  35837 

.  93358 

.  37461 

.  92718 

.39073 

.92050 

.  40674 

.  91355  60 

1 

.  34229 

.  93959 

.  35864 

.  93348 

.  37488 

.  92707 

.39100 

.  92039 

.40700 

.  91343'59 

.  34257 

.  93949 

.  35891 

.  93337 

.  37515 

.  92697 

.  39127 

.  92028 

.  40727 

.  91331  58 

3 

.  34284 

.  93939 

.  35918 

.  93327 

.  37542 

.  92080 

.  39153 

.  92010 

.  40753 

.9131957 

4 

.  34311 

.  93929 

.  35945 

.  93316 

.,  37569 

.  92675 

.  39180 

.92005 

.40780 

.  91307156 

5 

.  34339 

.  93919 

.  35973 

.  93306 

.  37595 

.  92664 

.39207 

.  91994 

.  40806 

.  91295  55 

( 

.  3436G 

.  93909 

.36000 

.  93295 

.  37622 

.  92653 

.  39234 

.  91982 

.  40833 

.91283 

54 

.  34393 

.  93899 

.36027 

.93285 

.37649 

.  92642 

.  39260 

.  91971 

.40860 

.  91272 

58 

8 

.  34121 

.  93889 

.  30054 

.  93274 

.  37676 

.  92631 

.  39287 

.  91959 

.  40886 

.  91260 

52 

() 

.  34448 

.  93879 

.36081 

.  93264 

.  37703 

.  92020 

.  39314 

.  91948 

.  40913 

.91248 

51 

1C 

.  34475 

.  93869 

.  36108 

.  93253 

.  37730 

.92609 

.  39341 

.  91930 

.  40939 

.  91236 

50 

11 

.  34503 

.93859 

.  36135 

.  93243 

.  37757 

.  92598 

.  39367 

.  91925 

.40966 

.  91224 

49 

12 

.  34530 

.  93849 

.  36162 

.  93232 

.  37784 

.92587 

.  39394 

.  91914 

.40992 

.91212 

48 

13 

.  34557 

.  93839 

.  36190 

.  93222 

.  37811 

.  92576 

.  39421 

.  91902 

.  41019 

.  91200 

47 

14 

.  34584 

.  93829 

.36217 

.  93211 

.37838 

.  92565 

.  39448 

.  91891 

.  41045 

.91188 

40 

15 

.  34612 

.  93819 

.  36244 

.  93201 

.  37865 

.  92554 

.  39474 

.  91879 

.  41072 

.91176 

45 

16 

.  34639 

.  93809 

.  36271 

.  93190 

.  37892 

.  92543 

.  39501 

.  91868 

.  41098 

.  91164 

44 

17 

.  34666 

.  93799 

.  36298 

.  93180 

.  37919 

.92532 

.  3952S 

.  91856 

.  41125 

.  91152 

43 

18 

.  34694 

.  93789 

.36325 

.  93169 

.  37946 

.  92521 

.  39555 

.  91845 

.41151 

.91140 

42 

19 

.  34721 

.  93779 

.  36352 

.  93159 

.  37973 

.  92510 

.  39581 

.  91833 

.  41178 

.  91128 

41 

20 

.  34748 

.  93769 

.  36379 

.  93148 

.  37999 

.  92499 

.39608 

.  91822 

.  41204 

.91110 

40 

21 

.  34775 

.  93750 

.36406 

.  93137 

.  38026 

.  92488 

.39635 

.  91810 

.  41231 

.  91104 

39 

22 

.34803 

.  93748 

.  36434 

.  93127 

.  38053 

.  92477 

.  39061 

.  91799 

.  41257 

.  91092 

38 

23 

.  34830 

.  93738 

.  36401 

.  93116 

.  38080 

.  92466 

.  39688 

.  91787 

.  41284 

.91080 

37 

24 

.34857 

.  93728 

.36488 

.  93106 

.  38107 

.  92455 

.  39715 

.  91775 

.  41310 

.91068 

36 

25 

.  34884 

.  93718 

.  36515 

.93095 

.38134 

.  92444 

.  39741 

.  91704 

.  41337 

.  91056 

35 

2(1 

.  34912 

.  93708 

.36542 

.  93084 

.  38161 

.  92432 

.  39768 

.  91752 

.41363 

.  91044 

34 

27 

.  34939 

.  93698 

.  36569 

.  93074 

.38188 

.  92421 

.  39795 

.  91741 

.  41390 

.  91032 

33 

28 

.  34966 

.  93688 

.36596 

.93063 

.38215 

.  92410 

.  39822 

.  91729 

.  41416 

.  91020 

32 

29 

.  34993 

.  93677 

.36623 

.  93052 

.  38241 

.  92399 

.  39848 

.91718 

.  41443 

.91008 

31 

30 

.  35021 

.  93667 

.36050 

.  93042 

.  38268 

.  92388 

.  39875 

.91706 

.  41409 

.  90990 

30 

31 

.35048 

.  93657 

.36677 

.  93031 

.  38295 

.  92377 

.39902 

.  91694 

.  41496 

.  90984  29 

32 

.  35075 

.  93647 

.  36704 

.  93020 

.  38322 

.  92366 

.  39928 

.91683 

.  41522 

.  90972  28 

33 

.  35102 

.  93637 

.  36731 

.  93010 

.  38349 

.  92355 

.  39955 

.  91671 

.  41549 

.  90960  27 

34 

.  35130 

.  93626 

.  36758 

.  92999 

.  38376 

.  92343 

.39982 

.  91660 

.  41575 

.  90948 

20 

35 

.  35157 

.  93616 

.36785 

.  92988 

.38403 

.  92332 

.40008 

.  91648 

.41602 

.90936 

25 

30 

.  35184 

.93606 

.  36812 

.  92978 

.  38430 

.  92321 

.40035 

.  91636 

.  41628 

.90924 

24 

37 

.  35211 

.935% 

.36839 

.92967 

.38456 

.  92310 

.40062 

.91625 

.41655 

.90911 

23 

38 

.  35239 

.93585 

.36867 

.  92956 

.  38483 

.  92299 

.40088 

.  91613 

.  41681 

.  90899  22 

39 

.  35266 

.93575 

.  36894 

.92945 

.38510 

.  92287 

.40115 

.91601 

.  41707 

.90887 

21 

40 

.35293 

.93565 

.  36921 

.92935 

.38537 

.  92276 

.  40141 

.  91590 

.  41734 

.90875 

20 

41 

.35320 

.  93555 

.  36948 

.  92924 

.38564 

.  92265 

.40168 

.  91578 

.41760  .90863 

19 

42 

.  35347 

.  93544 

.  36975 

.  92913 

.38591 

.  92254 

.  40195 

.  91566 

.  41787 

.90851 

18 

43 

.  35375 

.  93534 

.37002 

.92902 

.  38617 

.  92243 

.  40221 

.  91555 

.41813 

.  90839 

17 

44 

.  35402 

.  93524 

.  37029 

.  92892 

.  38644 

.  92231 

.  40248 

.  91543 

.41840  .90826 

JO 

45 

.  35429 

.  93514 

.37056 

.  92881 

.  38671 

.92220 

.  40275 

.  91531 

.  41866 

.90814 

15 

40 

.35456 

.93503 

.  37083 

.  92870 

.  38698 

.  92209 

.40301 

.  91519 

.  41892 

.90802 

14 

47 

.35484 

.  93493 

.  37110 

.92859 

.  38725 

.  92198 

.40328 

.  91508 

.  41919 

.90790 

13 

48 

.  35511 

.  93483 

.  37137 

.  92849 

.  38752 

.  92186 

.  40355 

.91496 

.  41945 

.90778 

12 

49 

.  35538 

.  93472 

.  37164 

.92838 

.  38778 

.  92175 

.40381 

.  91484 

.  41972 

.  90766 

11 

50 

.35565 

.  93462 

.  37191 

.  92827 

.  38805 

.  92164 

.40408 

.  91472 

.  41998 

.  90753 

10 

51 

.  35592 

.  93452 

.  37218 

.  92816 

.  38832 

.  92152 

.  40434 

.  91461 

.42024 

.90741 

9 

52 

.35619 

.  92441 

.  37245 

.  92805 

.38859 

.  92141 

.  40461 

.  91449 

.  42051 

.90729 

8 

53 

.  35647 

.  93431 

.  37272 

.  92794 

.  38886 

.  92130 

.  40488 

.  91437 

.  42077 

.  90717 

7 

54 

.  35674 

.  93420 

.  37299 

.  92784 

.  38912 

.92119 

.  40514 

.  91425 

.  42104 

.  90704 

0 

55 

.  35701 

.  93410 

.  37326 

.  92773 

.  38939 

.  92107 

.40541 

.  91414 

.  42130 

.  90692 

5 

50 

.  35728 

.93400 

.  37353 

.  92762 

.  38966 

.  92096 

.40567 

.91402 

.  42156 

.  90680 

4 

57 

.  35755 

.  93389 

.  37380 

.  92751 

.  38993 

.92085 

.  40594 

.91390 

.42183 

.90668 

3 

58 

.  35782 

.  93379 

.  37407 

.  92740 

.39020 

.  92073 

.40621 

.  91378 

.  42209 

.90655 

2 

59  .35810 

.  93368 

.  37434 

.  92729 

.39046 

.92062 

.  40647 

.  91366 

.  42235 

.90643 

1 

60  .35837 

.  93358 

.  37461 

.  92718 

.  39073 

.  92050 

.  40674 

.  91355 

.  42262 

.90631 

0 

~ 

/ 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

69° 

68° 

67° 

66° 

65° 

110 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


25° 

26° 

27° 

8§* 

29° 

Siue. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine.  1  Cosin. 

Sine.  ]  Cosin. 

0|  .42262 

.90631 

.43837 

.  89879 

.45399 

.  89101 

.  46947 

.  88295! 

.48481  .8746260 

1]  .42288 

.90618 

.  43803 

.  89867 

.  45425 

.89087 

.  46973 

.88281: 

.48506  .8744859 

2  .42315 

.90606 

.43889 

.  89854 

.  45451 

.89074 

.  46999 

.  88267 

.48532  .8743458 

3  .42341 

.  90594 

.  43916 

.  89841 

.45477 

.89061 

.  47024 

.  88254 

.48557  .87420  57 

4  .42367 

.90582 

.  43942 

.89828 

.  45.503 

.89048 

.47050 

.  88240 

.48583  .8740656 

5  .42394 

.90569 

.43968 

.  89816 

.  45529 

.89035 

.  47076 

.  88226 

.  48608 

.  87391  55 

6  .42420 

.90557 

.  43994 

.89803 

.  45554 

.89021 

.  47101 

.  88213 

.  48634 

.8737754 

7  .42446 

.  90545 

.  44020 

.  89790 

.  45580 

.89008 

.47127 

.88199 

.  48659 

.87363:53 

8  .42473 

.  90532 

.  44040 

.  89777 

.45606 

.  88995 

.  47153 

.88185 

.48684 

.87349:52 

9!  .42499 

.  90520 

.  44072 

.  89764 

.  4.5632 

.  88981 

.  47178 

.88172 

.  48710 

.  87335  51 

10 

.  42525 

.90507 

.  44098 

.  89752 

.  45658 

.88968 

.  47204 

.88158 

.  48735 

.  87321 

50 

11 

.  42552 

.  90495 

.44124 

.  89739 

.45684 

.  88955 

.  47229 

.  88144 

.  48761 

.87306 

49 

12 

.  42578 

.  90483 

.  44151 

.  45710 

.88942 

.  47255 

.  88130 

.  48786 

.87292148 

13 

.42604 

.  90470 

.  44177 

'.  89713 

.45736 

.  88928 

.  47281 

.  88117 

.48811 

.  87278  47 

14 

.42631 

.90458 

.  44203 

.  89700 

.  45762 

.  88915 

.47306 

.88103 

.  48837 

.  87264  46 

IS 

.  42657 

.90446 

.  44229 

.89687 

.  45787 

.88902 

.  47332 

.  88089 

.  48862 

.  87250  45 

Ifi 

.42683 

.90433 

.  44255 

.  89674 

.45813 

.88888 

.47358J  .88075 

.48888 

.8723544 

17 

.42709 

.90421 

.  44281 

.89662 

.45839 

.88875 

.47383!  .88062 

.  48913 

.  87221  43 

IS 

.  42736 

.90408 

.  44307 

.  89649 

.  45865 

.88862 

.474091  .88048 

.  48938 

.  87207  42 

19 

.  42762 

.90396 

.44333 

.  45891 

.88848 

.47434|  .88034 

.  48964 

.87193J  41 

20 

.42788 

.90383 

.  44359 

!  89623 

.  45917 

.88835 

.47460 

.88020 

.  48989 

.8717840 

21 

.  42815 

.90371 

.44385 

.  89610 

.  45942 

.88822 

.  47486 

.88006 

.49014 

.8716439 

22 

.  42841 

.90358 

.44411 

.  89597 

.  45968 

.88808 

.47511 

.  87993 

.49040 

.  87150  38 

23 

.  42867 

.90346 

.  44437 

.89584 

.  45994 

.  88795 

.  47537 

.  87979 

.  49065 

.  87136  37 

24 

.  42894 

.  90334 

.  44464 

.  89571 

.  46020 

.88782 

.  47562 

.  87965 

.  49090 

.  87121 

36 

25 

.  42920 

.90321 

.  44490 

.  46046 

.  88768 

.47588 

.  87951 

.49116 

.  87107 

35 

20 

.  42946 

.90309 

.  44516 

!  89545 

.  46072 

.88755 

.  47614 

.  87937 

.  49141 

.  87093 

:n 

27 

.  42972 

.  90296 

.  44542 

.  89532 

.46097 

.  88741 

.  47639 

.  87923 

.  49160 

.87079 

33 

28 

.42999 

.  90284 

.  44568 

.  89519 

.  46123 

.88728 

.  47665 

.87909 

.  49192 

.87064 

32 

29 

.  43025 

.  90271 

.  44594 

.  46149 

.88715 

.  47690 

.  87896 

.  49217 

.87050 

31 

30 

.  43051 

.90259 

.  44620 

!  89493 

.  46175 

.88701 

.  47716 

.  87882 

.  49242 

.  87036 

30 

31 

.  43077 

.90246 

.44646 

.  89480 

.  46201 

.88688 

.  47741 

.87868 

.49268 

.  87021 

29 

32 

.  43104 

.  90233 

.  44672 

!  89467 

.  46226 

.88674 

.  47767 

.  87854 

.  49293 

.87007 

28 

33 

.  43130 

.  90221 

.  44698 

.  89454 

.  46252 

.88661 

.  47793 

.  87840 

.  49318 

.86993 

27 

34 

.  43156 

.90208 

.  44724 

.  89441 

.46278  .88647 

.  47818 

.  87826 

.  49344 

.  86978 

20 

35 

.  43182 

.  90196 

.44750 

.  89428 

.46304  .88634 

.  47844 

.87812 

.  49369 

.86964 

25 

38 

.43209 

.90183 

.  44776 

!  89415 

.46330  .88620 

.  47869 

.  87798 

.  49394 

.86949 

24 

37 

.  43235 

.90171 

.44802 

.  89402 

.46355  .88607 

.  47895 

.87784 

.  49419 

.86935 

23 

38 

.  43261 

.90158 

.  44828 

.46381  .88593 

.  47920 

.  87770 

.  49445 

.  86921 

22 

39 

.  43287 

.90146 

.  44854 

.  89376 

.46407  .88580 

.  47946 

.87756 

.  49470 

.  86906  21 

40 

.  43313 

.90133 

.44880 

.  89363 

.46433)  .88566 

.  47971 

.87743 

.  49495 

.8689220 

41 

.  43340 

.90120 

.  44906 

.  893,50 

.  46458 

.88553 

.  47997 

.  87729 

.  49521 

.8687819 

42 

.  43366 

.  90108 

.  44932 

.  89337 

.  46484 

.88539 

.  48022 

.87715 

.  49546 

.86863:18 

43 

.  43392 

.  90095 

.  44958 

.  89324 

.  46510 

.88526 

.  48048 

.  87701 

.  49571 

.86849;  17 

44 

.  43418 

.  90082 

.  44984 

.89311 

.46536 

.88512 

.  48073 

.  87687 

.  49596 

.8683416 

45 

.  43445 

.90070 

.45010 

.  8929S 

.  46561 

.88499 

.48099 

.  87673 

.  49622 

.86820!  15 

46 

.  43471 

.90057 

.  45036 

.  89285 

.  46587 

.88485 

.48124 

.  87659 

.  49647 

.8680514 

47 

.  43497 

.90045 

.45062 

.  89272 

.  46613 

.  88472 

.  48150 

.87645 

.  49672 

.86791!  13 

48 

.  43523 

.90032 

.45088 

.  89259 

.46639 

.88458 

.  48175 

.87631 

.  49697 

.8677712 

49 

.  43549 

.90019 

.45114 

.  89245 

.46664 

.88445 

.  48201 

.  87617 

.  49723 

.86762,11 

50 

.43575 

.90007 

.  45140 

.89232 

.46690 

.88431 

.  48226 

.87603 

.  49748 

.8674810 

51 

.43602 

.89994 

.  45166 

.  89219 

.  46716 

.88417 

.  48252 

.87589 

.  49773 

.86733 

9 

52 

.  43628 

.89981 

.  45192 

.  89206 

.  46742 

.88404 

.  48277 

.  87575 

.  49798 

.  86719 

8 

53 

.  43654 

.89968 

.  45218 

.  89193 

.  46767 

.88390 

.48303 

.87561 

.  49824 

.  86704 

7 

54 

.43680 

.89956 

.  45243 

.  89180 

.  46793 

.  88377 

.48328 

.87546 

.  49849 

.  86690 

6 

55 

.  43706 

.  89943 

.  45269 

.  89167 

.46819 

.88363 

.48354 

.87532 

.  49874 

.  86675 

5 

S6 

.  43733 

.  89930 

.  45295 

.89153 

.  46844 

.88349 

.48379 

.  87518 

.  49899 

.86661 

4 

57 

.  43759 

.  89918 

.  45321 

.  89140 

.46870 

.88330 

.  48405 

.  87504 

.  49924 

.  86646 

3 

58 

.  43785 

.  89905 

.  45347 

.89127 

.46896 

.88322 

.  4S430 

.  87490 

.49950 

.866321  2 

59 

.43811 

.  89892 

.  45373 

.89114 

.  40921 

.88308 

.  48456 

.  87476 

.  49975 

.  86617 

1 

60 

.  43837 

.89879 

.  45399 

.  89101 

.  46947 

.  88295 

.  48481 

.  87462 

.50000 

.  86603 

0 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

/ 

64° 

63° 

62° 

61° 

60° 

111 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


30° 

31° 

33°    \ 

33° 

34° 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin.  ] 

Sine. 

Cosin. 

Sine. 

Cosin. 

0 

.50000 

.  86603 

.51504 

.85717 

.  52992 

.  84805 

.54464 

.83867 

.  55919 

.8290460 

1 

.50025 

.86588 

.  51529 

.  85702 

.  53017 

.  84789 

.54488 

.83851 

.  55943 

.  82887  59 

2 

.50050 

.  86573 

.  51554 

.85687 

.53041 

.  84774 

.  54513 

.  83835 

.  55968 

.82871!  58 

3 

.  50076 

.  86559 

.  51579 

.85672 

.  53066 

.  84759 

.  54537 

.  83819i 

.  55992 

.  82855i57 

4 

.50101 

.  86544 

.  51604 

.  85657 

.53091  .84743 

.  54561 

.83804' 

.  56016 

.  82839'  56 

5 

.  50126 

.  86530 

.  51628 

.85642 

.53115 

.  84728 

.  545,8(1 

.  83788| 

.  .56040 

.  82822  1  55 

6 

.50151 

.  86515 

.  51653 

.  85627 

.  53140 

.84712 

.  54610 

.83772 

.56064 

.  82806  54 

7 

.  50176 

.86501 

.51678 

.85612 

.  53164 

.  84697 

.54635 

.83756i 

.56088 

!82790'53 

8 

.50201 

.  86486 

.  51703 

.  85597 

.  53189 

.84681 

.  54659 

.  83740 

.56112 

.  82773  52 

9 

.50227 

.86471 

.  51728 

.85582 

.  53214 

.  84666 

.  546X3 

.83724' 

.  56136 

.8275751 

10 

.50252 

.86457 

.51753 

.85567 

.53238 

.84650 

.  54708 

.  83708i 

.56160 

.8274150 

11 

.50277 

.  86442 

.  51778 

.  85551 

.  53263 

.  84635 

.  54732 

.  83692 

.56184 

.8272449 

12 

.  50302 

.  86427 

.  51803 

.85536 

.53288  .84619 

.  54756 

.  83676 

.56208 

.  82708  48 

13 

.50327 

.  86413 

.  51828 

.  85521 

.53312 

.84604 

.54781 

.  83660 

.  56232 

.  82692 

47 

14 

.50352 

.  86398 

.  51852 

.  85506 

.  53337 

.84588 

.54805 

.83645 

.  56256 

.82675 

16 

15 

.50377 

.86384 

.  51877 

.85491 

.53361 

.84573 

.  54829 

.  83629 

.  56280 

.  82659 

15 

10 

.50403 

.  86369 

.51902 

.85476 

.53386 

.  84557 

.54854 

.  83613 

.  56305 

.82643 

44 

17 

.50428 

.  86354; 

.  51927 

.  85461 

.53411 

.  84542! 

.  54878 

.  83507 

.  56329 

.  82626 

43 

18 

.  50453 

.  86340! 

.  51952 

.  85446 

.  53435 

.84526' 

.  54902 

.  835S1 

.  56353 

.  82610 

19 

.50478 

.86325 

.  51977 

.  85431 

.53460 

.84511! 

.  54927 

.  83565 

.56377 

.  82593 

41 

20 

.50503 

.  86310J 

.  52002 

.85416 

.  53484 

.  84495' 

.  54951 

.83549 

.56401 

.  82577 

40 

21 

.50528 

.  86295! 

.  52026 

.  85401 

.53509 

.84480 

.  54975 

.  83533 

.  56425 

.  82561 

',9 

22 

.50553 

.8628l| 

.  52051 

.  85385 

.53534 

.  84464' 

.  54999 

.  83517 

.  56449 

.  825-14 

« 

23 

.50578 

.  86266, 

.  52076 

.  85370 

.53558 

.  844481 

.55024 

.83501 

.  56473 

.  82528 

17 

24 

.50603 

.86251 

.  52101 

.  85355 

.53583 

.  84433 

.55048 

.  83485 

.  56497 

.82511 

J6 

25 

.  50628 

.  86237  j 

.  52126 

.  85340 

.  53607 

.84417 

.  55072 

.83469 

.  56521 

.  82495 

35 

2( 

.50654 

.  86222 

.  52151 

.  85325 

.  53632 

.  84402; 

.55097 

.83453 

.  56545 

.  82478 

14 

27 

.50679 

.  86207 

.  52175 

.85310 

.53656 

.  84386 

.  55121 

.83437 

.  56569 

.  82462 

33 

28 

.50704 

.  86192 

.  52200 

.  85294 

.53681 

.84370 

.  55145 

.  83421 

.  56593 

.  82446 

32 

2! 

.  50729 

.  86178 

.  52225 

.  85279 

.  53705 

.  84355! 

.  55169 

.83405 

.56617 

.  82425 

n 

30 

.50754 

.86163 

.52250 

.85264 

.  53730 

.84339; 

.  55194 

.83389 

.56641 

.  82413 

30 

31 

.50779 

.  861481 

.  52275 

.  85249 

.  53754 

.84324! 

.  55218 

.83373 

.  56665 

.  82396 

28 

32 

.50804 

.  86133 

.  52299 

.  85234 

.53779 

.  84308 

.  55242 

.83356 

.566891  .82380 

28 

33 

.50829 

.86119 

.  52324 

.  85218 

.53804 

.84292 

.  55266 

.  83340 

.567131  .82363 

27 

34 

.50854 

.  86104 

.  52349 

.  85203 

.  53828 

.  84277 

.  55291 

.83324 

.56736!  .82347 

26 

35 

.50879 

.86089 

.  52374 

.85188 

.53853 

.  84261 

.  55315 

.  83308 

.56760 

.  82330 

25 

3< 

.50904 

.  86074 

.  52399 

.  85173 

.53877 

.  84245 

.55339  .83292 

.  .56784 

.82314 

24 

37 

.50929 

.86059 

.  52423 

.  85157 

.  53902 

.  84230 

.55363 

.  83276 

.56808  .82297 

23 

38 

.50954 

.86045 

.  52448 

.  85142 

.  53926 

.84214 

.55388 

.  83260 

.56832!  .82281 

22 

3< 

.50979 

.  86030 

.  52473 

.  85127 

.  53951 

.  84198 

.55412 

.  83244 

.56856!  .82264 

21. 

4( 

.51004 

.86015 

.  52498 

.  85112 

.  53975 

.84182 

.55436  .83228 

.56880  .82248 

20 

41 

.  51021 

.86000 

.52522 

.85096 

.54000 

.  84167 

.55460  .83212 

.56904 

.  82231 

19 

42 

.  51054 

.  85985 

.  52547 

.  8.5081 

.54024 

.84151 

.55484  .83195 

.  56928 

.  82214 

18 

43 

.  51079 

.  85970 

.  52572 

.  85066 

.54049 

.  84135 

.55509  .83179 

.  56952 

.  82198 

17 

44 

.  51104 

.  85956 

.  52597 

.  85051 

.54073 

.84120 

.55533  .83163 

.  56976 

.82181 

16 

4f 

.  51129 

.  85941 

.  52621 

.85035 

.  54097 

.  84104 

.55557  .83147 

.57000 

.  82165 

15 

46 

.  51154 

.  85926 

.5264( 

.85020 

.  54122 

.84088 

.55581!  .83131 

.  57024 

.  82148 

14 

47 

.51179 

.  85911 

.  52671 

.85005 

.54146 

.84072 

.55605:  .83115 

.  57047 

.  82132 

13 

48 

.  51204 

.  85896 

.  52696 

.84989 

.54171 

.  84057 

.55630!  .83098 

.  57071 

.82115 

12 

4f 

.  51229 

.85881 

.  52720 

.  84974 

.54195 

.  84041 

.5565-1  .830S2 

.  57095 

.  82098 

11 

50 

.  51254 

.85866 

.  52745 

.84959 

.54220 

.84025 

.55678  .83066 

.57119 

.  82082 

10 

51 

.  51279 

.85851 

.  52770 

.  84943 

.54244 

.84009 

.55702  .83050 

.  57143 

.82065 

9 

52 

.  51304 

.  85836 

.  52794 

.84928 

.  54269 

.83994 

.55726  .83034 

.  57167 

.  82048 

8 

53 

.  51329 

.  85821 

.  52819 

.  84913 

.  54293 

.83978 

.55775'  .83017 

.  57191 

.  82032 

7 

54 

.51354 

.85806 

.  52844 

.  84897 

.54317 

.  83962 

.55775:  .83001 

.57215 

.  82015 

6 

5; 

.  51379 

.  85792 

.  52869 

.84882 

.  54342 

.839^6 

.55799:  .82985 

.  5723S 

.  81999 

5 

« 

.51404 

.  85777 

.  52893 

.  84866 

.  54366 

.  83930 

.55823  .82969 

.  57262 

.  81982 

4 

5" 

.  51429 

.  85762 

.  52918 

.  84851 

.54391 

.  83915 

.55847  .82953 

.  5728(3 

.819651  3 

58 

.  51454 

.  85747 

.  52943 

.84830 

.54415  .83899  .55871:  .S293< 

.  57310 

.  81949 

2 

59 

.  51479 

.  85732 

.  52967 

.84820 

.5444CI  .83883 

.55895  .82920 

.  57334 

.  81932 

1 

60 

.51504 

.  85717 

.  52992 

.  84805 

.54464 

.83867 

.  55919 

.82904 

.  57358 

.81915 

0 

Cosin. 

Sine. 

Cosin.  1  Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

f 

59° 

58° 

57° 

56° 

55° 

112 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


35° 

36° 

37°    ||    38° 

39° 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

0 

.  57358 

.81915 

.  58779 

.80902 

.60182 

.  79864 

.  61566 

.78801 

.  62932 

.77715 

GO 

1 

.  57381 

.  81899 

.  5xS<)2 

.  80885 

.60205 

.  79846 

.61589 

.  78783 

.  02955 

.  77696 

59 

j 

.  57405 

.  81882 

.  5S826 

.  80807 

.  60228 

.  79829 

.  61612 

.  78765 

.  62977 

.  77678 

56 

a 

.57429 

.  81865 

.  58849 

.80850 

.  60251 

.  79811 

.  61035 

.  78747 

.63000 

.77660 

57 

4 

.57453 

.81848 

.  58873 

.  80833 

.  60274 

.  79793 

.  61058 

.  78729 

.  63022 

.  77641 

50 

| 

.  57477 

.  81832 

.  58890 

.  80810 

.  60298 

.  79776 

.61081 

.78711 

.  63045 

.  77623 

55 

§ 

.57501 

.81815 

.  58920 

.  80799 

.  60321 

.79758 

.  61704 

.  78694 

.  63008 

.  77005 

54 

~ 

.  57524 

.SI  70S 

.  58943 

.  80782 

.  60344 

.  79741 

.  61726 

.  78676 

.63090 

.77586 

S3 

x 

.  57548 

.  81782 

.  589(57 

.  80705 

.  603(57 

.  79723 

.  61749 

.78658 

.63113 

.  77568|52 

9 

.  57572 

.81765 

.  58990 

.80748 

.  60390 

.  79700 

.  61772 

.78640 

.  63135 

.  77550  J51 

10 

.  57596 

.81748 

.  59014 

.  80730 

.60414 

.  79688 

.  61795 

.  78622 

.63158 

.  77531  50 

11 

.  57619 

.  81731 

.  59037 

.  80713 

.  60437 

.  79671 

.  61818 

.78604 

.  63180 

.  77513149 

12 

.  57643 

.81714 

.59061 

.  80690 

.60460 

.  79653 

.  61841 

.78586 

.63203 

.  77494  48 

13 

.  57667 

.81098 

.  59084 

.  80679 

.  60483 

.  79635 

.  61864 

.  78568 

.63225 

.  77476|47 

14 

.  57691 

.81681 

.  59108 

.  80662 

.  60506 

.  79618 

.  61887 

.78550 

.  63248 

.  77458146 

L5 

.  57715 

.  81664 

.  59131 

.  80644 

.60529 

.79600 

.61909 

.78532 

.63271 

.  77439  45 

16 

.  57738 

.  81647 

.  59154 

.  80627 

.  60553 

.  79583 

.  61932 

.  78514 

.  (53293 

.77421144 

17 

.  57762 

.81631 

.  59178 

.  80610 

.  60576 

.79565 

.61955 

.  78496 

.  63316 

.77402 

43 

is 

.  57780 

.81614 

.59201 

.  80593 

.60599 

.  79547 

.  61978 

.  78478 

.63338 

.  77384 

42 

19 

.  57810 

.  81597 

.  59225 

.  80576 

.  60622 

.79530 

.62001 

.78460 

.  63361 

.  77366 

41 

20 

.57833 

.81580 

.  59248 

.80558 

.  60645 

.  79512 

.  62024 

.78442 

.63383 

.  77347 

40 

21 

.  57857 

.  81563 

.  59272 

.80541 

.60668 

.  79494 

.  62046 

.78424 

.  63406 

.  77329 

39 

22 

.57881 

.  81546 

.  59295 

.80524 

.60691 

.  79477 

.  62069 

.78405 

.03428!  .77310 

38 

23 

.57904 

.81530 

.  59318 

.80507 

.60714 

.  79459 

.  62092 

.  78387 

.  63451  1  .77292 

37 

24 

.  57928 

.81513 

.  59342 

.  80489 

.60738 

.  79441 

.  62115 

.  78369 

.  63473 

.  77273 

30 

-'_) 

.  57952 

.81496 

.  59365 

.80472 

.60761 

.79424 

.  62138 

.78351 

.  63496 

.  77255 

35 

26 

.  57976 

.81479 

.59389 

.  80455 

.60784 

.79406 

..681$) 

.  78333 

.  03518 

.77236 

34 

•)- 

.57999 

.81462 

.  59412 

.80438 

.60807 

.  79388 

.  62183 

.78315 

.63540 

.  77218 

33 

2S 

.58023 

.81445 

.  59436 

.80420 

.60830 

.  79371 

.62206 

.  78297 

.63563 

.  77199 

32 

M 

.  5S047 

.81428 

.  59459 

.80403 

.60853 

.  79353 

.  62229 

.  78279 

.63585 

.  77181 

31 

30 

.58070 

.81412 

.  59482 

.80386 

.60876 

.79335 

.  62251 

.  78261 

.63608 

.  77162 

30 

31 

.  58094 

.  81395 

.59506 

.80368 

.60899 

.  79318 

.  62274 

.  78243 

.  63630 

.  77144 

29 

32 

.58118 

.  81378 

.  59529 

.  80351 

.60922 

.79300 

.  62297 

.  78225 

.  63653 

.  77125 

28 

33 

.  58141 

.  81361 

.59552 

.80334 

.60945 

.79282 

.  62320 

.  78206 

.63675 

.  77107 

27 

;;-< 

.  58165 

.  81344 

.  59576 

.80316 

.60968 

.79264 

.  62342 

.78188 

.63698  .77088 

26 

35 

.  58189 

.  81327 

.  59599 

.  80299 

.60991 

.  79247 

.  62365 

.  78170 

.63720'  .77070 

25 

36 

.  5S212 

.81310 

.  59622 

.80282 

.  61015 

.79229 

.  62388 

.  78152 

.63742  .77051 

24 

37 

.  58236 

.81293 

.  59646 

.  80264 

.  61038 

.79211 

.  62411 

.  78134 

.63765  .77033 

23 

3S 

.  58260 

.  81276 

.596(59 

.80247 

.  61061 

.  79193 

.  62433 

.78116 

.63787  .77014 

22 

39 

.  58283 

.  81259 

.59693 

.80230 

.61084 

.  79176 

.  62456 

.78098 

.63810  .76990 

21 

40 

.58307 

.81242 

.  59716 

.80212 

.  61107 

.  79158 

.  62479 

.78079 

.63832;  .76977 

20 

41 

.58330 

.  81225 

.  59739 

.80195 

.  61130 

.  79140 

.62502 

.78061 

.63854;  .76959 

19 

42 

.  5S354 

.81208 

.  59763 

.80178 

.  61153 

.  79122 

.  (52524 

.  78043 

.63877;  .76940 

18 

43 

.58378 

.81191 

.  59786 

.80160 

.  61176 

.  79105 

.  62547 

,  78025 

.63899!  .76921 

17 

44 

.  58401 

.81174 

.59809 

.80143  .61199 

.79087 

.  62570 

.  78007  1  .  63922  .  76903 

10 

45 

.  58425 

.81157 

.  59832 

.  80125 

.  61222 

.79069 

.62592 

.77988 

.63944  .76884 

15 

46 

.58449 

.  81140 

.  59850 

.80108 

.  61245 

.79051 

.  62615 

.  77970 

.63966  .76860 

14 

47 

.58472 

.81123 

.  59S79 

.80091 

.  61268 

.79033 

..62638 

.  77952 

.63989i  .76847 

13 

48 

.  5849C 

.81106 

.59902 

.  80073 

.  61291 

.  79016 

.62660 

.  77934 

.64011 

.  76828 

12 

49 

.  58519 

.  81089 

.59926 

.80056 

.61314 

.  78998 

.  62683 

.  77916 

.64033 

.76810 

11 

50 

.58543 

.81072 

.  59949 

.80038 

.  61337 

.  78980 

.  62706 

.77897 

.64056 

.  76791 

10 

:il 

.  58567 

.  81055 

.  59972 

.80021 

.61360 

.78962 

.  62728 

.  77879 

.64078 

.  76772 

9 

32 

.58590 

.81038 

.  59995 

.80003 

.61383 

.  78944 

.  62751 

.77861 

.64100 

.  76754 

8 

53 

.58614 

.  81021 

.60019 

.  79986 

.61406  .78926 

.  62774 

.77843 

.  64123 

.  76735 

7 

54!  .58637 

.  81004 

.60042 

.79968 

.61429 

.78908 

.  62796 

.  77824 

.  64145 

.  76717 

6 

55J  .586G1 

.80987 

.  00005 

.  79951 

.61451  .78891 

.  62819 

.77806 

.  64167 

.  76698 

5 

56  .58684 

.  80970 

.  00089 

.  79934 

.61474'  .78873 

.62842 

.777881  .64190 

.  76679 

4 

5-1  -58708J  .80953 

.00112 

.79916 

.61497  .78855 

.  62864 

.  77769 

.64212 

.76661 

3 

58  .58731  .80931  .60135 

.  79899 

.61520  .78837 

.62887 

.  77751 

.64234 

.  76642 

2 

59!  -587551  .80919 

.  60158 

.  79881 

.61543  .78819 

.  62909 

.  77733 

.  64256 

.76623 

1 

00 

.  58779 

.80902 

.  60182 

.  79864 

.61566  .78801 

.  62932 

.  77715 

.64279 

.76604 

0 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin.  1  Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

54° 

53° 

52° 

51° 

50° 

41479—10 8 


113 


TABLE  7.— NATURAL  SINES  AND  COSINES. 


40° 

41° 

43° 

43° 

44° 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine.  |  Cosin. 

Sine. 

Cosin. 

Sine.  Cosin. 

0 

.  64279 

.  76604 

.  65606 

.  75471 

.66913  .74314 

.68200 

.73135 

.69466  .7193400 

] 

.  64301 

.  76586 

.65628 

.  75452 

.66935 

.  74295 

.68221 

.73110 

.09487'  .7191459 

2 

.  64323 

.76567 

.  65650 

.  75433 

.66956 

.  74276 

.  68242 

.  73090 

.G9f»js  .  71S94 

58 

3j  .64346 

.76548 

.65672 

.  75414 

.  66978 

.  74256 

.  68264 

.  73076 

.69529  .7187357 

4  .64368 

.  76530 

.  65694 

.  75395 

.  6G999 

.  74237 

.  68285 

.  73056 

.  69549 

.  71853 

56 

5  .64390 

.70511 

.65716 

.  75375 

.  67021 

.  74217 

.  68306 

.  73036 

.  69570 

.71833 

55 

6 

.  64412 

.  76492 

.  65738 

.  75356 

.  67043 

.  74198 

.  68327 

.  73016 

.  69591 

.  71813  54 

7 

.  64435 

.  76473 

.  65759 

.  75337 

.  67064 

.  74178 

.  68349 

.729% 

.  69012 

.  71792 

,53 

8 

.  64457 

.76455 

.  65781 

.  75318 

.  67086 

.  74159 

.  68370 

.  7297G 

.  69033 

.  71772 

52 

9 

.  64479 

.  76436 

.65803 

.  75299 

.  67107 

.74139 

.  68391 

.  72957 

.  69654 

.717.32,-,! 

10 

.  64501 

.76417 

.65825 

.  75280 

.  67129 

.  74120 

.  68412 

.  72937 

.  69675 

.  71732  50 

11 

.  64524 

.  76398 

.  65847 

.  75261 

.  67151 

.74100 

.  68434 

.72917 

.  6969C 

.71711 

49 

12 

.  64546 

.  76380 

.  65869 

.  75241 

.  67172 

.74080 

.  68455 

.  72897 

.69717 

.  71091 

'48 

13 

.  64568 

.  76361 

.  65891 

.  75222 

.  67194 

.  74061 

.  68470 

.  72877 

69737 

71071 

17 

14 

.  64590 

.  76342 

.  65913 

.  75203 

.  67215 

.  74041 

.  68497 

.72857 

.  69758 

.  71650 

15 

.  64612 

.76323 

.65935 

.  75184 

.  67237 

.  74022 

.  68518 

.  72837 

.  69779 

.  71630'45 

16 

.  64635 

.  76304 

.65956 

.  75165 

.  67258 

.74002 

.  68539 

.  72817 

.69800 

.  71610 

44 

17 

.64657 

.  76280 

.  65978 

.  75146 

.  67280 

.  73983 

.68561 

.  72797 

.  69821 

.  71590J43 

IS 

.  64679 

.76267 

.66000 

.  75  120 

.  67301 

.  73963 

.68582 

.  72777 

.  OOS42 

.71509 

42 

19 

.  64701 

.  76248 

.66022 

.  75107 

.  67323 

.  73944 

.  68603 

.  72757 

.  69862 

.  71549 

41 

20 

.  64723 

.  76229 

.66044 

.  75088 

.  67344 

.  73924 

.  68624 

.  72737 

.  69883 

.  71520 

140 

21 

.  64746 

.  76210 

.  66066 

.  75069 

.  67366 

.73904 

.  68645 

.  72717 

.69904 

.  71508 

139 

22 

.  64768 

.  7G192 

.60088 

.75050 

.  67387 

.73885 

.  68666 

.  72097 

.  69925 

.  714S8J38 

23 

.  64790 

.  76173 

.  66109 

.  75030 

.  67409 

.  73865 

.68688 

.  72677 

.6994( 

.  71468 

37 

24 

.  64812 

.  76154 

.  66131 

.  75011 

.  67430 

.  73846 

.68709 

.  72657 

.  69966 

.  71447 

36 

25 

.  64834 

.  76135 

.  66153 

.  74992 

.  67452 

.  73826 

.  68730 

.  72637 

.69987 

.  71427 

35 

26 

.64856 

.76116 

.  66175 

.  74973 

.  67473 

.73806 

.  68751 

.  72617 

.70008 

.  71407 

34 

27 

.64878 

.76097 

.  66197 

.  74953 

.  67495 

.  73787 

.  68772 

.  72597 

.  70029 

.  7138( 

33 

28 

.  64901 

.76078 

.  66218 

.  74934 

.  67516 

.  73767 

.  68793 

.  72577 

.70049 

.  713GG 

32 

29 

.  64923 

.  76059 

.  66240 

.  74915 

.  67538 

.  73747 

.  68814 

.  72557 

.70070 

.7134531 

30 

.64945 

.76041 

.  66262 

.  74896 

.  67559 

.  73728 

.68835 

.  72537 

.70091 

.  71325 

30 

31 

.64967 

.76022 

.  66284 

.  74876 

.67580 

.  73708 

.68857 

.  72517 

.  70112 

.  71305 

29 

32 

.  64989 

.76003 

.66306 

.  74857 

.67602 

.  73688 

.68878 

.  72497 

.  70132 

.  71284|28 

33 

.65011 

.  75984 

.  66327 

.74838 

.  67623 

.  73669 

.  68899 

.  72477 

.  70153 

.  71204 

27 

34 

.  65033 

.75965 

.  66349 

.  74818 

.  67645 

.  73649 

.  68920 

.  72457 

.  70174 

.  71243 

26 

35 

.65055 

.  75946 

.66371 

.  74799 

.  67666 

.  73629 

.  68941 

.  72437 

.  70195 

.  71223  25 

3(5 

.65077 

.  75927 

.66393 

.  74780 

.  67688 

.  73010 

.  68962 

.  72417 

.  70215 

.  71203 

24 

37 

.  65100 

.75908 

.  66414 

.74760 

.  67709 

.73590 

.  6S9S3 

.  72397 

.  70236 

.  71182  23 

38 

.65122 

.  75889 

.  66436 

.  74741 

.  67730 

.  73570 

.69004 

.  72377 

.  70257 

.  71162 

22 

39 

.  65144 

.  75870 

.66458 

.  74722 

.  67752 

.  73551 

.  69025 

.  72357 

.  70277 

.7114121 

40 

.65166 

.75851 

.  66480 

.  74703 

.  67773 

.  73531 

.69046 

.  72337 

.  7029S 

.7J121  _'0 

41 

.65188 

.  75832 

.  66501 

.74683 

.  67795 

.  73511 

.69067 

.  72317 

.70319 

.  71100  19 

42 

.  65210 

.  75813 

.  66523 

.  74664 

.  67816 

.  73491 

.  69088 

.  72297 

.  70339 

.71080 

18 

43 

.65232 

.  75794 

.  6G545 

.  74644 

.  67837 

.  73472 

.69109 

72277 

.  70300 

.  71059 

17 

44 

.65254 

.  75775 

.  66566 

.  74625 

.67859 

.  73452 

.  69130 

!  72257 

.  70381 

.71039;  16 

45 

.65276 

.  75756 

.  66588 

.74606 

.67880 

.  73432 

.  69151 

.  72230 

.  70401 

.  71019 

15 

4(1 

.  65298 

.  75738 

.  66610!  .  74586 

.67901 

.  73413 

.  69172 

.72216 

.  70422 

.  7099814 

47 

.65320 

.  75719 

.  666321  .  74567 

.  67923 

.  73393 

.  69193 

.721% 

.  70443 

.  70978 

13 

48 

.65342 

.  75700 

.66653 

.  74548 

.  67944 

.  73373 

.  69214 

.72176 

.  70403 

.  70957  12 

49 

.  65364 

.  75680 

.66675 

.  74528 

.  67965 

.  73353 

.  69235 

.  721  56 

.  70484 

.  70937 

11 

50 

.65386 

.  75661 

.  66697 

.  74509 

.  67987 

.  73333 

.  69256 

.  7213G 

.  70505 

.  70910 

10 

51 

.65408 

.  75642 

.  66718 

.  74489 

.68008 

.  73314 

.  69277 

.72116 

.  70525 

.  70S90 

9 

52 

.65430 

.  75623 

.  66740 

.  74470 

.68029 

.73294 

.69298 

.  72095 

.  70546 

.  70875 

8 

53 

.65452 

.75604 

.  66762 

.  74451 

.  68051 

.  73274 

.69319 

.  72075 

.  705G7 

.70855 

7 

54 

.  65474 

.  75585 

.  66783 

.  74431 

.  68072 

.  73254 

.  69340 

.  72055 

.  70587 

.  70834 

6 

55 

.  6549G 

.  75566 

.  66805 

.  74412 

.68093 

.  73234 

.  69361 

.  72035 

.  70608 

.  7081  3 

5 

5G 

.  65518 

.  75547 

.  66827 

.  74392 

.68115 

.  73215 

.  69382 

.  72015 

.  70028 

.  70793 

4 

57 

.  65540 

.  75528 

.  66848 

.  74373 

.  68136 

.  73195 

.  69403 

.  71995 

.  70649 

.  70772 

3 

58 

.65562 

.  75509 

.  66870 

.  74353 

.  68157 

.  73175 

.  69424 

.  71974 

.  70670 

.  70752 

2 

59 

.  65584 

.  75490 

.  6G891 

.  74334 

.  6S179 

.  73155 

.  69445 

.  71954 

.  70690 

.  70731 

1 

GO 

.65606 

.  75471 

.  66913 

.  74314 

.  68200 

.  73135 

.  69466 

.  71934 

.  70711 

.  70711 

0 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

Cosin. 

Sine. 

f 

49° 

48° 

47° 

46° 

45° 

114 


TABLE  8.-NATURAL  TANGENTS  AND  COTANGENTS. 


t 

0° 

1° 

2° 

3° 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.00000 

Infinite. 

.01746 

57.  2900 

.03492 

28.  6363 

.05241 

19.0811 

60 

1 

.  00029 

3487.  75 

.01775 

56.  3-506 

.  03521 

28.  3994 

.  05270 

18.  9755 

59 

2 

.00058 

1718.87 

.01804 

55.4415 

.  03550 

28.1664 

.  05299 

18.  8711 

58 

3 

.00087 

1145.92 

.01833 

54.5613 

.  03579 

27.  9372 

.  05328 

18.  7678 

57 

4 

.00116 

859.  436 

.  01862 

53.  7080 

.  03609 

27.  7117 

.  05357 

18.  6656 

56 

5 

.00145 

687.  549 

.  01891 

52.  8821 

.  03638 

27.  4899 

.  05387 

18.5645 

55 

6 

.00175 

572.  957 

.  01920 

52.  0807 

.  03667 

27.2715 

.05416 

18.  4645 

54 

7 

.  00204 

491.  106 

.01949 

51.  3032 

.03096- 

27.  0566 

.05445 

18.  3655 

53 

8 

.  00233 

429.  718 

.01978 

50.  5485 

.  03725 

26.  8450 

.05474 

18.  2677 

52 

9 

.00262 

381.971 

.02007 

49.  8157 

.  03754 

26.  6367 

.  05503 

18.  1708 

51 

10 

.  00291 

343.  774 

.  02036 

49.  1039 

.  03783 

26.  4316 

.  05533 

18.  0750 

50 

11 

.00320 

312.  521 

.  020G6 

48.4121 

.03812 

26.  2296 

.05562 

17.  9802 

49 

12 

.  00349 

286.  478 

.  02095 

47.  7395 

.  03842 

26.  0307 

.  05591 

17.  8863 

48 

13 

.  00378 

264.  441 

.02124 

47.  0853 

.  03871 

25.  8348 

.  05620 

17.  7934 

47 

14 

.00407 

245.  552 

.  02153 

46.  4489 

.03900 

25.  6418 

.  05649 

17.7015 

46 

15 

.00136 

229.  182 

.  02182 

45.  8294 

.  03929 

25.  4517 

.  05678 

17.  6106 

45 

16 

.00465 

214.  858 

.02211 

45.  2261 

.  039,58 

25.2644 

.  05708 

17.  5205 

44 

17 

.  00495 

202.  219 

.  02240 

44.  6386 

.03987 

25.0798 

.  05737 

17.4314 

43 

18 

.00524 

190.  984 

.  02269 

44.  0661 

.  04016 

24.  8978 

.  05766 

17.  3432 

42 

19 

.00553 

180.  932 

.02298 

43.  5081 

.  04046 

24.  7185 

.  05795 

17.2558 

41 

20 

.00582 

171.885 

.  02328 

42.  9641 

.  04075 

24.  5418 

.05824 

17.  1693 

40 

21 

.00611 

163.  700 

.  02357 

42.  4335 

.  04104 

24.  3675 

.05854 

17.  0837 

39 

22 

.  00640 

156.  259 

.  02386 

41.9158 

.  04133 

24.  1957 

.  05883 

16.  9990 

38 

23 

.  00669 

149.  465 

.02415 

41.4106 

.  04162 

24.  0263 

.05912 

16.  9150 

37 

24 

.  00698 

143.  237 

.  02444 

40.  9174 

.04191 

23.  8593 

.  05941 

16.8319 

36 

25 

.  00727 

137.  507 

.  02473 

40.  4358 

.  04220 

23.  6945 

.  05970 

16.  7496 

35 

26 

.  00756 

132.  219 

.  02502 

39.  9655 

.04250 

23.  5321 

.  05999 

16.  6681 

34 

27 

.00785 

127.  321 

.02531 

39.  5059 

.  04279 

23.  3718 

.  06029 

16.  5874 

33 

28 

.00815 

122.  774 

.  02560 

39.  0568 

.04308 

23.  2137 

.06058 

16.  5075 

32 

29 

.  00844 

118.540 

.02589 

38.  6177 

.  04337 

23.0577 

.06087 

16.4283 

31 

30 

.00873 

114.  589 

.  02619 

38.  1885 

.  04366 

22.  9038 

.06116 

16.  3499 

30 

31 

.00902 

110.  892 

.02648 

37.  7686 

.04395 

22.  7519 

.  06145 

16.  2722 

29 

32 

.00931 

107.  426 

.  02677 

37.  3579 

.  04424 

22.  6020 

.  06175 

16.  1952 

28 

33 

.  00960 

104.  171 

.  02706 

36.  9560 

.  04454 

22.  4541 

.06204 

16.  1190 

27 

34 

.  00989 

101.  107 

.02735 

36.  5627 

.  04483 

22.  3081 

.06233 

16.0435 

26 

35 

.01018 

98.  2179 

.02764 

36.  1776 

.04512 

22.  1640 

.06262 

15.  9687 

25 

36 

.  01047 

95.  4895 

.  02793 

35.8006 

.  04541 

22.  0217 

.06291 

15.  8945 

24 

37 

.01076 

92.  9085 

.02822 

35.  4313 

.  04570 

21.8813 

.  06321 

15.  8211 

23 

38 

.01105 

90.  4633 

.  02851 

35.  0695 

.  04599 

21.  7426 

.06350 

15.  7483 

22 

39 

.01135 

88.  1436 

.02881 

34.  7151 

.01628 

21.  6056 

.06379 

15.  6762 

21 

40 

.01164 

85.  9398 

.02910 

34.  3678 

.04658 

21.  4704 

.06408 

15.  6048 

20 

41 

.01193 

83.  8435 

.02939 

34.  0273 

.04687 

21.  3369 

.06437 

15.  5340 

19 

42 

.01222 

81.  8470 

.  02968 

33.  6935 

.04716 

21.  2049 

.06467 

15.  4638 

18 

43 

.  01251 

79.  9434 

.  02997 

33.  3662 

.  04745 

21.  0747 

.06496 

15.  3943 

17 

44 

.01280 

78.  1263 

.  03026 

33.  0452 

.  04774 

20.  9460 

.  06525 

15.  3254 

16 

45 

.  01309 

76.  3900 

.03055 

32.  7303 

.04803 

20.  8188 

.  06554 

15.  2571 

15 

46 

.  01338 

74.  7292 

.  03084 

32.  4213 

.  04833 

.20.  6932 

.06584 

15.  1893 

14 

47 

.  01367 

73.  1390 

.03114 

32.  1181 

.  04862 

20.  5691 

.  06613 

15.  1222 

13 

48 

.  01396 

71.6151 

.  03143 

31.  8205 

.01891 

20.  4465 

.  06642 

15.  0557 

12 

49 

.01425 

70.  1533 

.  03172 

31.  5284 

.  04920 

20.  3253 

.06671 

14.  9898 

11 

50 

.  01455 

68.7501 

.  03201 

31.2416 

.  04949 

20.  2056 

.06700 

14.  9244 

10 

51 

.  01484 

67.  4019 

.  03230 

30.  9599 

.  04978 

20.  0872 

.  06730 

14.  8596 

9 

52 

.01513 

66.  1055 

.  03259 

30.  6833 

.05007 

19.  9702 

.  06759 

14.  7954 

8 

53 

.01542 

64.  8580 

.03288 

30.4116 

.05037 

19.  8546 

.06788 

14.  7317 

7 

54 

.01571 

63.  6567 

.  03317 

30.  1446 

.05066 

19.  7403 

.06817 

14.  6685 

6 

55 

.01600 

62.  4992 

.  03346 

29.  8823 

.05095 

19.  6273 

.06847 

14.  6059 

5 

56 

.  01629 

61.3829 

.  03376 

29.  6245 

.  05124 

19.5156 

.  06876 

14.  5438 

4 

57 

.01658 

60.3058 

.  03405 

29.3711 

.  05153 

19.  4051 

.  06905 

14.  4823 

3 

58 

.01687 

59.  2659 

.  03434 

29.1220 

.  05182 

19.  2959 

.  06934 

14.  4212 

2 

59 

.  01716 

53.  2612 

.  03463 

28.  8771 

.05212 

19.  1879 

.  06963 

14.  3607 

1 

eo 

.  01746 

57.  2900 

.  03492 

28.  6363 

.  05241 

19.0811 

.  06993 

14.  3007 

0 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

89° 

88° 

87° 

86° 

115 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


4°            5°            6°            7° 

Tang. 

Cotang.  Tang. 

Totting. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.06993 

14.3007 

.08749 

11.4301 

.  10510 

9.  51436 

.12278 

8.  14435 

GO 

1 

.  07022 

14.2411 

.  OS778 

11.3919 

.  10540 

9.  4S781 

.  12:508 

8.  124X1 

59 

2 

.  07051 

14.  1821 

.08807 

11.3540 

.  10569 

9.  46141 

.  12338 

8.  10536 

58 

3 

.07080 

14.  1235 

.  08837 

11.3163 

.10599 

9.  43515 

.  12367 

8.08600 

57 

4 

.07110 

14.0655 

.  08866 

11.2789 

.  10U28 

9.40904 

.12397 

8.  06674 

56 

5 

.07139 

14.  0079 

.  08895 

11.2417 

.  10657 

9.  38307 

.  12426 

8.  04756 

55 

G 

.  07168 

13.  9.507 

.08925 

11.2048 

.  10687 

9.  35724 

.  12456 

8.  02848 

54 

7 

.  07197 

13.  8940 

.08954 

11.1681 

.  10716 

9.33155 

.  12485 

8.  00948 

53 

8 

.  07227 

13.8378 

.  08983 

11.  1316 

.  10746 

9.  30599 

.  12515 

7.  99058 

52 

9 

.07256 

13.  7821 

.09013 

11.0954 

.  10775 

9.  28058 

.  12544 

7.97176 

ri 

10 

.07285 

13.  7267 

.09042 

11.0594 

.  10805 

9.25530 

.  12574 

7.95302 

50 

11 

.07314 

13.  6719 

.09071 

11.0237 

.  10834 

9.  23016 

.  12603 

7.  9343S 

49 

12 

.07344 

13.6174 

.09101 

10.  9SS2 

.  10S63 

9.20516 

.  12033 

7.  91582 

48 

13 

.07373 

13.  5634 

.09130 

10.  9529 

.  10893 

9.  18028 

.  12(502 

7.  89734 

47 

14 

.  07402 

13.5098 

.  09159 

10.9178 

.10922 

9.15554 

.  12692 

7.  87895 

40 

15 

.074,'U 

13.  4566 

.09189 

10.  8829 

.  10952 

9.  13093 

.12722 

7.  86064 

45 

16 

.  07461 

13.  4039 

.  09218 

10.  S483 

.10981 

9.10646 

.  12751 

7.  S4212 

44 

17 

.07490 

13.3515 

.09247 

10.  8139 

.11011 

9.08211 

.  12781 

7.  82428 

4.1 

18 

.  07519 

13.  29% 

.09277 

10.  7797 

.11040 

9.  05789 

.  12810 

7.80822 

42 

19 

.07548 

13.2480 

.09506 

10.  7457 

.  11070 

9.  03379 

.  12S40 

7.  78825 

41 

20 

.  0757S 

13.  1969 

.  09335 

10.7119 

.11099 

9.00983 

.12869 

7.7703.-> 

40 

21 

.07607 

13.  1461 

.09365 

10.  6783 

.11128 

8.  98598 

.  12899 

7.  75254 

39 

22 

.07636 

13.  0958 

.03394 

10.  6450 

.  11158 

8.96227 

.12929 

7.  734SO 

38 

23 

.  07665 

13.  0458 

.  09423 

10.6118 

.11187 

8.  93S67 

.12958 

7.71715 

37 

24 

.  07695 

12.  9962 

.09453 

10.  5789 

.11217 

8.91520 

.12988 

7.  69957 

36 

25 

.  07724' 

12.  9469 

.09482 

10.  5462 

.11246 

8.  89185 

.13017 

7.68208 

35 

26 

.  07753 

12.  8981 

.09511 

10.  5136 

.11276 

8.86862 

.  13047 

7.  66466 

34 

27 

.  077X2 

12.  8496 

.  09541 

10.  4813 

.  11305 

8.  84551 

.  13076 

7.  64732 

33 

28 

.07812 

12.8014 

.  09570 

10.4491 

.11335 

8.  82252 

.  1310G 

7.  63005 

32 

29 

.  07841 

12.  7536 

.09600 

10.4172 

.11364 

8.  79964 

.  13136 

7.  61287 

31 

30 

.  07870 

12.  7062 

.09629 

10.  3854 

.  11394 

8.  77689 

.  13165 

7.  59575 

30 

31 

.07899 

12.  6591 

.09658 

10.  3538 

.  11423 

8.  75425 

.  13195 

7.  57872 

29 

32 

.  07929 

12.6124 

.09688 

10.  3224 

.  11452 

8.  73172 

.  1.3224 

7.  56176 

28 

33 

.  07958 

12.  5660 

.09717 

10.  2913 

.11482 

8.  70931 

.18354 

7.  54487 

27 

34 

.  07987 

12.  5199 

.09746 

10.  2602 

.11511 

8.  68701 

.13284 

7.52806 

26 

35 

.08017 

12.4742 

.  09776 

10.  2294 

.  11541 

8.  66482 

.  13313 

7.  51132 

25 

36 

.  08046 

12.  4288 

.09805 

10.  1988 

.11570 

8.  64275 

.  13343 

7.  49405 

24 

37 

.  08075 

12.  3838 

.  09834 

10.  16S3 

.11600 

8.  62078 

.  13372 

7.4TW6 

23 

38 

.08104 

12.  3390 

.09864 

10.  1381 

.  11629 

8.  59893 

.  13402 

7.  46154 

22 

39 

.08134 

12.  2946 

.  09893 

10.  1080 

.  11659 

8.  57718 

.  13432 

7.  44509 

21 

40 

.  08163 

12.  2505 

.09923 

10.  0780 

.11688 

8.  55555 

.  13461 

7.42S71 

20 

41 

.08192 

12.  2067 

.09952 

10.  0483 

.11718 

8.  53402 

.  13491 

7.  41240 

19 

42 

.08221 

12.  1632 

.09981, 

10.  0187 

.11747 

8.  512,59 

.  13521 

7.  39616 

18 

43 

.08251 

12.  1201 

.10011 

9.  98931 

.11777 

8.  49128 

.13550 

7.  37999 

17 

44 

.08280 

12.  0772 

.10040 

9.  96007 

.11806 

8.  47007 

.  13580 

7.  3G389 

16 

45 

.08309 

12.  0346 

.10069 

9.93101 

.11836 

8.  44896 

.13609 

7.34786 

15 

46 

.  08339 

11.9923 

.10099 

9.  90211 

.11865 

8.  42795 

.13639 

7.  33190 

14 

47 

.08368 

11.9504 

.  10128 

9.  87338 

.  11895 

8.  40705 

.  13669 

7.  31600 

13 

48 

.08397 

11.  9087 

.10158 

9.  844S2 

.  11924 

8.  38625 

,  13698 

7.  30018 

12 

49 

.  08427 

11.8673 

.  10187 

9.  81641 

.  11954 

8.  36555 

.13728 

7.  28442 

11 

50 

.08456 

11.8262 

.  10216 

9.  78817 

.11983 

8.  34496 

.13758 

7.26873 

10 

51 

.  08485 

11.  7853 

.10246 

8.76009 

.  12013 

8.  32446 

.  13787 

7.2.5310 

9 

52 

.08514 

11.7448 

.  10275 

9.73217 

.  12042 

8.  30406 

.  13817 

7.  23754 

8 

53 

.  08544 

11.7045 

.  10305 

9.  70441 

.  12072 

8.  28376 

.  13846 

7.  22204 

7 

54 

.  08573 

11.6645 

.  10334 

9.  67680 

.12101 

&  28866 

.  13876 

7.20661 

6 

55 

.08602 

11.6248 

.  10363 

9.  64935 

.  12131 

8.  24345 

.13906 

7.  19125 

5 

56 

.  08G32 

11.5S53 

.  10393 

9.  62205 

.  12160 

8.  22344 

.  13935 

7.  17594 

4 

57 

.  08661 

11.5461 

.  10422 

9.  59490 

.  12190 

8.  20352   .  13965 

7.  16071 

3 

58 

.  08690 

11.5072 

.  10452 

9.  56791 

.  12-219 

8.18370  !  .13995 

7.  14553 

2 

59 

.  08720 

11.4685 

.  10481 

9.  54106 

.  12249 

8.  16398   .  14024 

7.  13042 

1 

60 

.  OS749 

11.4301 

.  10510 

9.  51436 

.  1227S 

8.  144.35 

.  14054 

7.  11537 

0 

/ 

Cotang.  Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

t 

85° 

84° 

83°           82° 

116 


TABLE  8.-NATITRAL  TANGENTS  AND  COTANGENTS. 


/ 

\° 

i 

1° 

1 

0° 

1 

1° 

Tang. 

Colang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

(7 

.14054 

7.  11537 

.15838 

6.  31375 

.  17633 

5.  67123 

.19438 

5.  14455 

60 

1 

.  14084 

7.  10038 

.  15868 

6.  30189 

.  17663 

5.  66165 

.  13463 

5.  13658 

59 

2 

.14113 

7.  08546 

.  15898 

6.  29007 

.17693 

5.  65205 

.  19498 

5.  12862 

58 

3 

.  14143 

7.  07059 

.  15928 

6.27829 

.  17723 

5.  64248 

.  19529 

5.  12069 

57 

4 

.14173 

7.  05579 

15958 

6.  26G55 

.  17753 

5.  63295 

.  19559 

5.  11279 

56 

5 

.14202 

7.  04105 

.  15938 

6.  25486 

.  17783 

5.  62344 

.19589 

5.  10490 

55 

0 

.  14232 

7.  02637 

.  1(5017 

6.  24321 

.  17813 

5.  61397 

.  19619 

5.  09704 

54 

7 

.  14262 

7.01174 

.16047 

6.23160 

.  17843 

5.  60452 

.  19649 

5.  08921 

53 

8 

.  14291 

6.  99718 

.16077 

6.22003  | 

.  17873 

5.  5951  1 

.  10080 

5.0S139 

52 

9 

.  14321 

6.  9326S 

.  16107 

6.  20851 

.  17903 

5.  5S573 

.  19710 

5.  07360 

51 

10 

.  14351 

6.  96823 

.  16137 

6.  19703 

.  17933 

5.  57638 

.  19740 

5.  06584 

50 

11 

.  143S1 

6.  95385 

.  16167 

6.  18559 

.  17963 

5.  56706 

.  19770 

5.  05809 

49 

12 

.  14410 

«.  93952 

.  16196 

6.  17419 

.  17993 

5.  55777 

.  19S01 

5.  05037 

48 

13 

.  14440 

6.  92525 

.  16226 

6.  16283 

.  18023 

5.  54851 

.  19831 

5.  04267 

47 

14 

.  14470 

6.91104 

.  16256 

6.  15151 

.18053 

5.  53927 

.  19861 

5.  03499 

46 

15 

.14-199 

6.  89688 

.16286 

6.  14023 

.18083 

5.  53007 

.  19891 

5.  02734 

45 

16 

.  14529 

6.  88278 

.  16316 

6.  12899 

.  18113 

5.  52090 

.  19921 

5.  01971 

44 

17 

.  14559 

6.  86874 

.16346 

6.  11779 

.  18143 

5.  51176 

.  19952 

5.01210 

43 

18 

.  14588 

6.  85475 

.16376 

6.  10664 

.  18173 

5.  50264 

.  19982 

5.  00451 

42 

19 

.  14618 

6.  84082 

.  16405 

6.  09552 

.  18203 

5.  49356 

.20012 

4.  99695 

41 

20 

.  14648 

6.  82694 

.  16435 

6.  08444 

.  18233 

5.  48451 

.20042 

4.  98940 

40 

21 

.  14678 

6.81312 

.  16465 

6.  07340 

.  18263 

5.  47548 

.  20073 

4.  981S8 

39 

22 

.  14707 

6.  79936 

.  16495 

6.  06240 

.  18293 

5.  4G04S 

.  20103 

4.  97438 

38 

23 

.  14737 

6.  78564 

.  16525 

6.  05143 

.  1S323 

5.  45751 

.  20133 

4.  96690 

37 

24 

.  14767 

6.  77199 

.  16555 

6.  04051 

.  18353 

5.  44857 

.  20164 

4.  95945 

36 

25 

.  14796 

6.  75838 

.16585 

6.  02962 

.  18384 

5.  43906 

.  20194 

4.  95201 

35 

26 

.  14826 

6.  74483 

.  16615 

6.  01878 

.  18414 

5.  43077 

.  20224 

4.  94460 

34 

27 

.  14856 

6.  73133 

.  16645 

6.  00797 

.  18444 

5.  42192 

.20254 

4.  93721 

33 

28 

.  14886 

6.  71789 

.  16G74 

5.  99720 

.  18474 

5.  41309 

.  202S5 

4.  92984 

32 

29 

.  14915 

6.  70450 

.  16704 

5.  98646 

.  1S504 

5.  40429 

.  20315 

4.  92249 

31 

30 

.  14945 

6.  69116 

.  16734 

5.  97576 

.18534 

5.  39552 

.  20345 

4.  91516 

30 

31 

.  14975 

6.  67787 

.  16764 

5.  96510 

.  18564 

5.  38677 

.  20376 

4.  90785 

29 

32 

.15005 

6.  66463 

.  16794 

5.  95448 

.  18594 

5.  37805 

.  20406 

4.  90056 

28 

33 

.  15034 

6.  65144 

.  16824 

5.  94390 

.  18624 

5.  36936 

.  20436 

4.  89330 

27 

34 

.15064 

6.  63831 

.16854 

5.  93335 

.18654 

5.  36070 

.  20466 

4.88605 

26 

35 

.  15094 

6.  62523 

.16884 

5.  92283 

.18684 

5.  35206 

.20497 

4.  87882 

25 

36 

.  15124 

6.  61219 

.  16914 

5.  91236 

.  18714 

5.  34345 

.  20527 

4.87162 

24 

37 

.  15153 

6.  59921 

.  16944 

5.  90191 

.  18745 

5.  33487 

.20557 

4.  86444 

23 

38 

.  15183 

6.  58627 

.  16974 

5.  89151 

.  18775 

5.  32631 

.  205S8 

4.  85727 

22 

39 

.  15213 

6.  57339 

.17004 

5.88114 

.  18805 

5.  31778 

.20618 

4.  85013 

21 

40 

.  15243 

6.  56055 

.  17033 

5.  87080 

.18835 

5.  30928 

.  20648 

4.  84300 

20 

41 

.  15272 

6.  54777 

.  7063 

5.  86051 

.  18865 

5.  30080 

.  20679 

4.  83590 

19 

42 

.  15302 

6.  53503 

.  7093 

5.  85024 

.18895 

5.  29235 

.20709 

4.  82882 

18 

43 

.15332 

6.  52234 

.  7123 

5.  84001 

.  18925 

5.  28393 

.  20739 

4.82175 

17 

44 

.  15362 

(').  50970 

.  7153 

5.  82982 

.  18955 

5.  27553 

.  20770 

4.  81471 

16 

45 

.15391 

6.  49710 

.  7183 

5.  81966 

.  18986 

5.  26715 

.20800 

4.  80769 

15 

46 

.15421 

6.  48456 

.  7213 

5.  80953 

.  19016  ' 

5.  25SSO 

.20830 

4.  80068 

14 

47 

.  15451 

6.  47206 

.  7243 

5.  79944 

.  19046 

5.  25048 

.  20S61 

4.  79370 

13 

48 

.  15481 

(i.  45901 

.  7273 

5.  78938 

.  19076 

5.  24218 

.20891 

4.  78673 

12 

49 

.15511 

6.  44720 

.  7303 

5.  77936 

.19106 

5.  23391 

.20921 

4.  77978 

11 

50 

.  15540 

6.  43484 

.  17333 

5.  76937 

.  19136 

.  5.  22566 

.  20952 

4.  77286 

10 

51 

.  15570 

6.  42253 

.  17363 

5.  75941 

.  19166 

5.  21744 

.  20982 

4.  76595 

9 

52 

.15600 

6.  41026 

.  17393 

5.  74949 

.  19197 

5.  20925 

.21013 

4.  7.5906 

8 

53 

.15630 

6.  39804 

.  17423 

5.  73960 

.  19227 

5.  20107 

.  21043 

4.  75219 

7 

54 

.15660 

6.38587 

.  17453 

5.  72974 

.  19257 

5.  19293 

.  21073 

4.  74534 

6 

55 

.15689 

6.  37374 

.  17483 

5.  71992 

.  19287 

5.  18480 

.21104 

4.  73851 

5 

56 

.  15719 

6.  36165 

.  17513 

5.  71013 

.  19317 

5.  17671 

.21134 

4.  73170 

4 

57 

.  15749 

6.  34961 

.  17543 

5.  70037 

.  19347 

5.  16863 

.21164 

4.  72490 

3 

58 

.  15779 

6.  33761 

.  17573 

5.  00004 

.19378 

5.  10058 

.21195 

4.  71813 

2 

59 

.  15809 

6.  32566 

.17603 

5.  6S094 

.  1940S 

5.15256 

.21225 

4.71137 

1 

GQ 

.13338 

6.31375 

.17633 

5.  67128 

.  194^8 

5.  14455 

.  21256 

4.  70463 

0 

Co  tang. 

Tang. 

Cotang. 

Tang. 

Coking. 

Tang. 

Cotang. 

Tang. 

f 

I 

1° 

8 

O° 

7 

9° 

" 

rs° 

117 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


f 

12° 

13° 

14° 

15°      j  f 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.21256 

4.  70463 

.  2:;os7 

4.  33148 

.  24933 

4.  01078 

I  .26795 

3.73205  110 

1 

.  21286 

4.  69791 

.23117 

4.  32573 

.24964 

4.  00582 

i  .26826 

3.72771  59 

2 

.21316 

4.  69121 

.  23148 

4.  32001 

.  24995 

4.00086 

.  26857 

3.  72338  58 

3 

.21347 

4.  68452 

.23179 

4.  31430 

.25026 

3.  99592 

.26888 

3.71907  f>7 

4 

.21377 

4.  67786 

.  23203 

4.  30860 

.  25056 

3.  99099 

.26920 

3.71476  yf) 

5 

.  21408 

4.  67121 

.  23240 

4.  30291 

.  25087 

3.  98607 

.  26951 

3.  71046  55 

6 

.  21438 

4.66458 

.  23271 

4.  29724 

.  25118 

3.98117 

.  26982 

3.  70616  1  54 

7 

.  21469 

4.  65797 

.  23301 

4.  29159 

.  25149 

3.  97627 

.27013 

3.  70188 

53 

8 

.  21499 

4.  65138 

.  23332 

4.  28595 

.  25180 

3.  97139 

.  27044 

3.  69761 

52 

9 

.21529 

4.  64480 

.  23363 

4.  28032 

.25211 

3.  96651 

.  27076 

3.  69335 

51 

10 

.21560 

4.  63825 

.  23393 

4.  27471 

.  25242 

3.  96165 

.  27107 

3.68909 

50 

11 

.  21590 

4.63171 

.  23424 

4.26911 

.  25273 

3.  95680 

.  27138 

3.68485 

49 

12 

.21621 

4.  62518 

.  23455 

4.  26352 

.  25304 

3.95196 

.  27169 

3.68061 

48 

13 

.21651 

4.  61868 

.  23485 

4.  25795 

.  25335 

3.  94713 

.27201 

3.  67638 

47 

14 

.21682 

4.  61219 

.23516 

4.  25239 

.  25366 

3.  94232 

.  27232 

3.67217 

46 

15 

.21712 

4.  60572 

.  23547 

4.  24685 

.  25397 

3.  93751 

.  27263 

3.  66796 

45 

16 

.  21743 

4.  59927 

.  23578 

4.  24132 

.  25428 

3.  93271 

.  2729  1 

3.  66376 

44 

17 

.  21773 

4.  59283 

.  23608 

4.  23.580 

.  25459 

3.  92793 

.  2732G 

3.  65957 

43 

18 

.  21804 

4.  58(541 

.  23639 

4.  23030 

.25490 

3.  92316 

.  27357 

3.  65538 

42 

19 

.  21834 

4.  58001 

.  23670 

4.  22481 

.  25521 

3.  91839 

.27388 

3.65121 

41 

20 

.21864 

4.  57363 

.23700 

4.  21933 

.  25552 

3.  91364 

.  27419 

3.  64705 

40 

21 

.  21895 

4.  56726 

.  23731 

4.  21387 

.  25583 

3.  90890 

.  27451 

3.  64289 

39 

22 

.  21925 

4.  56091 

.  23762 

4.  20842 

.  25614 

3.  90417 

.27482 

3.  63874 

38 

23 

.21956 

4.55458. 

.  23793 

4.20298 

.  25645 

3.  89945 

.  27513 

3.  63461 

37 

24 

.  21986 

4.  54826 

.  23823 

4.  19756 

.25676 

3.  89474 

.  27545 

3.  63048 

36 

25 

.22017 

4.  54196 

.23854 

4.  19215 

.  25707 

3.89004 

.  27576 

3.  62636 

35 

20 

.22047 

4.  53568 

.  23885 

4.  18675 

.  25738 

3.  88536 

.  27607 

3.  62224 

34 

27 

.22078 

4.  52941 

.  23916 

4.18137 

.  25769 

3.88068 

.  27638 

3.61814 

33 

28 

.  22108 

4.  52316 

.  23946 

4.17600  ! 

.25800 

3.  87601 

.  27670 

3.  61405 

32 

29 

.  22139 

4.  51693 

.  23977 

4.17064  ; 

.  2,5831 

3.  87136 

.  27701 

3.  60996 

31 

30 

.22169 

4.  51071 

.24008 

4.16530 

.25862 

3.  86671 

.  27732 

3.60588 

30 

31 

.22200 

4.  50451 

.  24039 

4.15997  ! 

.25893 

3.86208 

.27764 

3.  60181 

29 

32 

.  22231 

4.  49832 

.  24069 

4.  15465  1 

.  25924 

3.  85745 

.  27795 

3.  59775 

28 

33 

.  22261 

4.  49215 

.  24100 

4.14934  I 

.25955 

3.85284 

.  27826 

3.  59370 

27 

34 

.  22292 

4.48600 

.  24131 

4.  14405 

.  25986 

3.  84824 

.27858 

3.  58966 

26 

35 

.22322 

4.  47986 

.  24162 

4.  13877 

.26017 

3.  84364 

.27889 

3.58562 

25 

36 

.  22353 

4.  47374 

.  24193 

4.  13350 

.26048 

3.83906 

.  27921 

3.  58160 

24 

37 

.  23383 

4.  46764 

.  24223 

4.  12825  ! 

.  26079 

3.  83449 

.  27952 

3.  57758 

23 

38 

.22414 

4.  46155 

.  24254 

4.  12301 

.  26110 

3.  82992 

.  27983 

3.  57357 

22 

39 

.  22444 

4.45548 

.  24285 

4.11778 

.26141 

3.  82537 

.28015 

3.  56957 

21 

40 

.22475 

4.  44942 

.  24316 

4.  11256 

.  26172 

3.  82083 

.28046 

3.  56557 

20 

41 

.  22505 

4.  44338 

.  24347 

4.  10736 

.  26203 

3.81630 

.28077 

3.  56159 

19 

42 

.22536 

4.  43735 

.  24377 

4.  10216 

.  26235 

3.81177 

.  28109 

3.  55761 

18 

43 

.  22567 

4.  43134 

.  24408 

4.09699 

.  26266 

3.  80726 

.28140 

3.  55364 

17 

44 

.  22597 

4.  42534 

.  24439 

4.  09182 

.  26297 

3.  80276 

.  28172 

3.  54968 

16 

45 

.  22628 

4.  41936 

.  24470 

4.  08666 

.  26328 

3.  79827 

.  28203 

3.  54573 

15 

46 

.22658 

4.  41340 

.24501 

4.  08152 

.  26359 

3.  79378 

.  28234 

3.54179 

14 

47 

.  22689 

4.  40745 

.  24532 

4.07639 

.  2(390 

3.  78931 

.  28266 

3.  53785 

13 

48 

.  22719 

4.  40152 

.24562 

4.  07127 

.  26421 

3.  78485 

.  28297 

3.  53393 

12 

49 

.  22750 

4.  39560 

.  24593 

4.  06616 

.26452 

3.  78040 

.  28329 

3.53001 

11 

50 

.22781 

4.38969  ! 

.  24624 

4.  06107 

.  26483 

3.  77595 

.28360 

3.  52609 

10 

51 

.  22811 

4.  38381 

.  24655 

4.  05599 

.26515 

3.  77152 

.  28391 

3.  52219 

9 

52 

.  22842 

4.  37793 

.24686 

4.  05092 

.  26546 

3.  76709 

.28423 

3.  51829 

8 

53 

.  22872 

4.  37207 

.  24717 

4.  04586 

.26577 

3.  76268 

.28454 

3.  51441 

7 

54 

.  22903 

4.36623  ! 

.  24747 

4.  04081 

.26608 

3.  75828 

.  28486 

3.  51053 

6 

55 

.  22934 

4.  36040 

.  24778 

4.  03578 

.26639 

3.75388 

.  28517 

3.  50666 

5 

56 

.  22964 

4,  35459 

.24809 

4.03076 

.26670 

3.  74950 

.28549 

3.  50279 

4 

57 

.22995 

4.  34879 

.  24840 

4.  02574 

.  26701 

3.74512 

.28580 

3.  49894 

3 

58 

.  23026 

4.  34300 

.  24871 

4.  02074 

.  26733 

3.  74075 

.  28612 

3.  49509 

2 

59 

.  23056 

4.  33723 

.24902 

4.01576 

.  26764 

3.  73640 

.  28643 

3.  49125 

1 

CO 

.  23087 

4.  33148 

.  24933 

4.  01078 

.  26795 

3.  73205 

.28675 

3.  48741 

0 

-,;• 

Cotang. 

Tang. 

Cotang. 

Tang.  [Cotang. 

Tang. 

Cotang. 

Tang. 

77°     j|     76°     Ji     75° 

74° 

118 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


16° 

17° 

18° 

19° 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

t 

0 

.  2S675 

3.  48741 

.  30573 

3.  27085 

.  32492 

3.  07768 

.  34433 

2.  90421 

00 

1 

.  2S70G 

3.  48359 

.  30605 

3.  26745 

.  32524 

3.  07464 

.  34465 

2.  90147 

59 

2 

.  28738 

3.  47977 

.  30637 

3.  26406 

.  32556 

3.  07100 

.  34498 

2.  89873 

58 

3 

.  28769 

3.  47596 

.  30669 

3.  26067 

.  32588 

3.  06857 

.  34530 

2.89600 

57 

4 

.  28800 

3.  47216 

.30700 

3.  25729 

.  32621 

3.  06554 

.  34563 

2.  89327 

56 

5 

.  28832 

3.  46837 

.  30732 

3.  25392 

.  32653 

3.  06252 

.34596 

2.  89055 

55 

6 

.  L^Stli 

3.  46458 

.  30764 

3.  25055 

.  32085 

3.  05950 

.  34628 

2.  88783 

54 

7 

.  28895 

3.  46080 

.  30796 

3.  24719 

.  32717 

3.  05649 

.  34661 

2.  88511 

53 

8 

.28927 

3.  45703 

.  30828 

3.  24383 

.  32749 

3.  05349 

.  34693 

2.  88240 

52 

9 

.  28958 

3.  45327 

.  30860 

3.  24049 

.  32782 

3.  05049 

.  34726 

2.  87970 

51 

10 

.  28990 

3.  44951 

.  30891 

3.  23714 

.  32814 

3.  04749 

.  34758 

2.  87700 

50  ; 

11 

.29021 

3.  44576 

.  30923 

3.  23381 

.  32840 

3.  04450 

.  34791 

2.  87430 

49 

12 

.  29053 

3.  44202 

.  30955 

3.  23048 

.  32878 

3.04152 

.  34824 

2.  87161 

48 

13 

.  29084 

3.  43829 

.  30987 

3.  22715 

.  32911 

3.  03854 

.  34856 

2.  86892 

47 

14 

.29116 

3.  43456 

.  31019 

3.  22384 

.  32943 

3.  03556 

.  34889 

2.  86624 

46 

15 

.  29147 

3.  43084 

.  31051 

3.  22053 

.  32975 

3.  03200 

.  34922 

2.  86350 

45 

16 

.  29179 

3.  42713 

.  31083 

3.  21722 

.33007 

3.  02903 

.  34954 

2.  86089 

44 

17 

.  29210 

3.  42343 

.31115 

3.  21392 

.  33040 

3.  02007 

.  34987 

2.  85822 

43 

18 

.  29242 

3.  41973 

.31147 

3.  21063 

.  33072 

3.  02372 

.  35020 

2.  85555 

42  ' 

19 

.  29274 

3.  41604 

.31178 

3.  20734 

.  33104 

3.  02077 

.  35052 

2.  85289 

41  : 

20 

.  29305 

3.  41236 

.  31210 

3.  20406 

.  33130 

3.  01783 

.  35085 

2.  85023 

40 

21 

.  29337 

3.  40869 

.  31242 

3.  20079 

.  33169 

3.  01489 

.35118 

2.  84758 

39 

22 

.  29368 

3.  40502 

.  31274 

3.  19752 

.  33201 

3.01196 

.  35150 

2.  84494 

38 

23 

.29400 

3.  40136 

.  31306 

3.  19426 

.  33233 

3.00903 

.  35183 

2.  84229 

37 

24 

.  29432 

3.  39771 

.  31338 

3.  19100 

.  33266 

3.00611 

.  35216 

2.  83965 

36 

25 

.  29463 

3.  39406 

.  31370 

3.  18775 

.  33298 

3.00319 

.  35248 

2.  83702 

35 

20 

.  29495 

3.  39042 

.  31402 

3.  18451 

.  33330 

3.00028 

.  35281 

2.  83439 

34 

27 

.  29526 

3.  38679 

.  31434 

3.  18127 

.  33303 

2.  99738 

.  35314 

2.83170 

33 

28 

.  29558 

3.38317 

.  31466 

3.  17804 

.  33395 

2.  99447 

.  35346 

2.  82914 

32  . 

29 

.  29590 

3.  37955 

.  31498 

3.  17481 

.  33427 

2.99158 

.  35379 

2.  82653 

31  : 

30 

.  29621 

3.  37594 

.  31530 

3.  17159 

.33460 

2.  98868 

.  35412 

2.  82391 

30 

31 

.29653 

3.  37234 

.  31562 

3.  16838 

.  33492 

2.  98580 

.  35445 

2.  82130 

29 

32 

.  29685 

3.  36875 

.  31594 

3.  16517 

.  33524 

2.  98292 

.  35477 

2.  81870 

28 

33 

.  29716 

3.  36516 

.  31626 

3.  16197 

.  33557 

2.  98004 

.  35510 

2.  81010 

27 

34 

.  29748 

3.  36158 

.  31658 

3.  15877 

.  33589 

2.  97717 

.  35543 

2.  81350 

26 

35 

.  29780 

3.  35800 

.  31690 

3.  15558 

.  33621 

2.  97430 

.  35576 

2.  81091 

25 

3G 

.  29811 

3.  35443 

.  31722 

3.  15240 

.33654 

2.  97144 

.  35608 

2.  80833 

24 

37 

.  29843 

3.  35087 

.  31754 

3.  14922 

.  33686 

2.  96858 

.  35641 

2.  80574 

23  ! 

38 

.  29875 

3.  34732 

.  31786 

3.  14605 

.  33718 

2.  96573 

.  35674 

2.  80316 

22 

39 

.  29906 

3.  34377 

.31818 

3.  14288 

.  33751 

2.  90288 

.  35707 

2.  80059 

21 

40 

.29938 

3.  34023 

.  31850 

3.  13972 

.  33783 

2.  90004 

.  35740 

2.  79802 

20 

41 

.  29970 

3.  33670 

.  31882 

3.  13056 

.  33816 

2.  95721 

.  35772 

2.  79545 

1,9  ; 

42 

.30001 

3.  33317 

.31914 

3.  13341 

.  33848 

2.  95437 

.  35805 

2.  79289 

is  ; 

43 

.  30033 

3.  32965 

.  31946 

3.  13027 

.  33881 

2.  95155 

.  35838 

2.  79033 

17 

44 

.  30065 

3.  32614 

.  31978 

3.  12713 

.  33913 

2.  94872 

.  35871 

2.  78778 

16 

45 

.  30097 

3.  32264 

.  32010 

3.  12400 

.  33945 

2.  94591 

.  35904 

2.  78523 

15 

46 

.  30128 

3.  31914 

.  32042 

3.  12087 

.  33978 

2.  94309 

.  35937 

2.  78269 

14 

47 

.  30160 

3.  31505 

.  32074 

3.  11775 

.  34010- 

2.  94028 

.  35909 

2.  78014 

13 

48 

.  30192 

3.  31216 

.  32106 

3.  11464 

.  34043 

2.  93748 

.30002 

2.  77761 

12  - 

49 

.  30224 

3.  30868 

.  32139 

3.  11153 

.  34075 

2.  93408 

.  30035 

2.  77507 

11 

50 

.  30255 

3.  30521 

.  32171 

3.  10842 

.  34108 

2.  93189 

.30068 

2.  77254 

10 

51 

.  30287 

3.  30174 

.  32203 

3.  10532 

.  34140 

2.  92910 

.  30101 

2.  77002 

9 

52 

.  30319 

3.  29829 

.  32235 

3.  10223 

.  34173 

2.  92032 

.  30134 

2.  76750 

8 

53 

.  30351 

3.  29483 

.  32267 

3.  09914 

.  34205 

2.  92354 

.  36167 

2.  76498 

7  ; 

54 

.  30382 

3.  29139 

.  32299 

3.09606 

.  34238 

2.  92070 

.  36199 

2.  76247 

6 

55 

.30414 

3.  28795 

.  32331 

3.  09298 

.  34270 

2.  91799 

.  30232 

2.  75996 

5 

50 

.  30446 

3.  28452 

.  32363 

3.  08991 

.  34303 

2.  91523 

.  30205 

2.  75746 

4 

57 

.  30478 

3.  28109 

.  32396 

3.  08085 

.  34335 

2.  91240 

.  36298 

2.  75490 

3 

58 

.  30509 

3.  27767 

.  32428 

3.  08379 

.  34368 

2.  90971 

.  30331 

2.  75246 

2 

59 

.  30541 

3.  27426 

.  32460 

3.  08073 

.  34400 

2.  90696 

.  36364 

2.  74997 

1  : 

GO 

.  30573 

3.  27085 

.  32492 

3.  07768 

.  34433 

2.  90421 

.  36397 

2.  74748 

0 

t 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

73° 

73°     |j      71° 

70° 

119 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


' 

20° 

21° 

22° 

23° 

' 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.  36397 

2.  74748 

.38386 

2.  60509 

.40403 

2.  47509 

.43*47 

2.35585 

(0 

1 

.36430 

2.  74499 

.  38420 

2.60283 

.40436 

2.  47302 

.  42482 

2.  35395 

59 

2 

.36463 

2.  74251 

.38453 

2.60057 

.40470 

2.  47095 

.42316 

2.  35205 

58 

3 

.  36496 

2.  74004 

.38487 

2.  59831 

.  40504 

2.  46888 

.42551 

2.35015 

57 

4 

.36529 

2.  73756 

.  38520 

2.59G06 

.  40538 

2.  46GS2 

.  42585 

2.  34825 

50 

5 

.  305(52 

2.  73509 

.  38553 

2.59381 

.  41X572 

2.  46476 

.42619 

2.34636 

55 

6 

.36595 

2.  73263 

.38587 

2.59156 

.40606 

2.  46270 

.42654 

2.84447 

54 

7 

.  36628 

2.  73017 

.  38620 

2.  58932 

.  40640 

2.  460G5 

.  42688 

2.  34258 

53 

8 

.  36661 

2.  72771 

.38654 

2.  58708 

.  40674 

2.  45860 

.42722 

2.  34009 

52 

9 

.  36694 

2.  72526 

.  38687 

2.  58484 

.  40707 

2.45655 

.  42757 

2.  33881 

51 

10 

.  36727 

2.  72281 

.  38721 

2.  58261 

.  40741 

2.45451 

.  42791 

2.  33693 

50 

11 

.  36760 

2.  72036 

.  38754 

2.  58038 

.  40775 

2.  45246 

.  42826 

2.  33505 

49 

12 

.  36793 

2.  71792 

.  38787 

2.57815 

.40809 

2.  45043 

.  42860 

2.33317 

48 

13 

.36826 

2.  71548 

.  38821 

2.  57593 

.40843 

2.  4-1839 

.  42894 

2.33130 

47 

14 

.  36859 

2.  71305 

.38854 

2.57371 

.40877 

2.  44636 

.42929 

2.3291.°, 

46 

15 

.36892 

2.  71062 

.38888 

2.57150 

.40911 

2.  44433 

.42903 

2.  32756 

45 

1G 

.  36925 

2.  70819 

.  38921 

2.56928 

.40945 

2.  44230 

.  42998 

2.  32570 

44 

17 

.  36958 

2.  70577 

.  38955 

2.  56707 

.40979 

2.  44027 

.  43032 

2.32383 

43 

18 

.36991 

2.  70335 

.  38988 

2.  56487 

.41013 

2.  43825 

.  43007 

2.  32197 

42 

19 

.  37024 

2.70094 

.  39022 

2.56266 

.41047 

2.  43623 

.43101 

2.  32012 

41 

20 

.37057 

2.  69853 

.39055 

2.56046 

.  41081 

2.  43422 

.  43136 

2.31826 

40 

21 

.37090 

2.  69612 

.  39089 

2.  55827 

.41115 

2.  43220 

.  43170 

2.31641 

39 

22 

.  37123 

2.  69371 

.  39122 

2.  55608 

.41149 

2.  43019 

.  43205 

2.  31456 

38 

23 

.37157 

2.  69131 

.  39156 

2.55389 

.41183 

2.  42819 

.  43239 

2.31271 

37 

24 

.  37190 

2.  68892 

.  39190 

2.55170 

.41217 

2.  42618 

.  43274 

2.  31086 

36 

25 

.37223 

2.  68653 

.  39223 

2.  54952 

.41251 

2.42418 

.43308 

2.  30902 

35 

26 

.37256 

2.  68414 

.  39257 

2.54734 

.4128-5 

2.  42218 

.  43343 

2.30718 

34 

27 

.  37289 

2.  68175 

.  39290 

2.54516 

.  41319 

2.  42019 

.  43378 

2.  30534 

33 

28 

.37322 

2.  67937 

.  39324 

2.  54299 

.41353 

2.41819 

.43412 

2.30351 

32 

29 

.37355 

2.  67700 

.39357 

2.54082 

.41387 

2.41620 

.43447 

2.30167 

31 

30 

.  37388 

2.  67462 

.39391 

2.  53865 

.41421 

2.41421 

.  43481 

2.  29984 

30 

31 

.  37422 

2.  67225 

.  39425 

2.53648 

,  41455 

2.  41223 

.43516 

2.  29S01 

29 

32 

.  37455 

2.  66989 

.  39458 

2.  53432 

.41490 

2.41025 

.  43550 

2.  29619 

28 

33 

.37488 

2.  66752 

.  39492 

2.  53217 

.41524 

2.  40827 

.  4:;>5 

2.  29437 

27 

34 

.37521 

2.  66516 

.  39526 

2.  53001 

.  41558 

2.  40629 

.  43C20 

2.  29254 

26 

35 

.  37554 

2.  66281 

.  39559 

2.  52786 

.  41592 

2.  40432 

.43654 

2.  29073 

25 

36 

.37588 

2.  66046 

.39593 

2.52571 

.41626 

2.  40235 

.  430S9 

2.  28891 

24 

37 

.37621 

2.  65811 

.  39626 

2.52357 

.41660 

2.40038 

.  43724 

2.  28710 

23 

38 

.  37054 

2.  65576 

.  39660 

2.  52142 

.  41694 

2.  39841 

.43758 

2.  28528 

22 

39 

.37687 

2.  65342 

.  39694 

2.51929 

.41728 

2.  39645 

.43793 

2.  28348  1  21 

40 

.  37720 

2.65109 

.  39727 

2.51715 

.  41763 

2.  39449 

.  4382S 

2.  28167 

20 

41 

.37754 

2.  64875 

.  39761 

2.51502 

.  41797 

2.  39253 

.  43802 

2.  27987 

19 

42 

.37787 

2.  64642 

.  39795 

2.  51289 

.  41831 

2.  39058 

.  43S97 

2.  27806 

18 

43 

.  37820 

2.  64410 

.39829 

2.51076 

.41865 

2.  38803 

.  43932 

2.  2702G 

17 

44 

.37853 

2.  64177 

.  39862 

2.  50864 

.41899 

2.  38668 

.43906 

2.  27447 

16 

45 

.37887 

2.  63945 

.  39896 

2.  50(152 

.41933 

2.  38473 

.44001 

2.  27207 

15 

46 

.37920 

2.  63714 

.  39930 

2.  50440 

.41968 

2.  38279 

.  44036 

2.  27088 

14 

47 

.37953 

2.63483 

.  39963 

2.  50229 

.42002 

2.  38084 

.  44071 

2.  2C909 

13 

48 

.  37986 

2.  63252 

.  39997 

2.50018 

.  42036 

2.  37891 

.44105 

2.  20730 

12 

49 

.38020 

2.  63021 

.40031 

2.49807 

.  42070 

2.  37r.97 

.44140 

2.  26552 

11 

50 

.  38053 

2.  62791 

.40065 

2.  49597 

.  42105 

2.37504 

.44175 

2.  26374 

10 

51 

.  38086 

2.  62561 

.  40098 

2.  49386 

.  42139 

2.37311 

.44210 

2.  26196 

9 

52 

.  38120 

2.  62332 

.  40132 

2.  49177 

.42173 

2.37118 

.  44244 

2.  26018 

8 

53 

.  38153 

2.  62103 

.40166 

2.  48967 

.  42207 

2.  36925 

.  44279 

2.25840 

7 

54 

.38186 

2.  61874 

.  40200 

2.  48758 

.  42242 

2.36733 

.  44314 

2.  25603 

6 

55 

.38220 

2.  61646 

.  40234 

2.  48549 

.  42276 

2.  36541 

.  44349 

2.  25486 

5 

56 

.  38253 

2.  61418 

.  40267 

2.  48340 

.  42310 

2.  36349 

.  443S4 

2.  25309 

4 

57 

.  38286 

2.  61190 

.40301 

2.  48132 

.  42345 

2.  36158 

.44418 

2.  25132 

3 

58 

.  38320 

2.  60963 

.  40335 

2.  47924 

.  42379 

2.  339G7 

.  44453 

2.  24956 

2 

59 

.  38353 

2.  60736 

.  40309 

2.  47716 

.  42413 

2.  35776 

.  44488 

2.  24780 

1 

60 

.38386 

2.  60509 

.40403 

2.  47509 

.42447 

2.35585 

.44523 

2.  24604 

0 

f 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Ctotaag. 

Tang. 

f 

69° 

68° 

67° 

66° 

120 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


2 

1° 

5° 

2 

6° 

2 

7° 

Tang. 

Cotang.  ; 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.  4-1523 

2.  24604  i 

.  46631 

2.14451  i 

.  48773 

2.  05C30 

.50953 

1.  96261 

60 

1 

.44558 

2.24428  ! 

.4<  ;i  ;c.r. 

2.  14288 

.48809 

2.  04879 

.  50989 

1.96120 

69 

2 

.  44593 

2.24252  i 

.  46702 

2.  14125 

.48845 

2.  04728 

.  51026 

1.95979 

58 

3 

.  44627 

2.24077 

.  46737 

2.13963  i 

.48881 

2.  04577 

.  51063 

1.95838 

57 

4 

.  44662 

2.  23902 

.  46772 

2.13801  | 

.  48917 

2.  04426 

.  51099 

1.  95698 

56 

5 

.  44C97 

2.23727 

.46808 

2.13639  ! 

.48953 

2.  04276 

.  51136 

1.95557 

55 

6 

.  44732 

2.23553 

.46843 

2.13477 

.  48989 

2.  04125 

.  51173 

1.  95417 

54 

7 

.44707 

2.23378 

.46879 

2.  13316 

.  49026 

2.  03975 

.  51209 

1.95277 

53 

8 

.  44802 

2.23204 

.  46914 

2.  13154 

.  49062 

2.  03825 

.  51246 

1.95137 

52 

9 

.  44837 

2.23030 

.  46950 

2.12993 

.49098 

2.  03675 

.  51283 

1.  94997 

51 

10 

.  44872 

2.22857 

.  46985 

2.12832 

.  49134 

2.  03526 

.  51319 

1.94858 

50 

11 

.  44907 

2.22683 

.  47021 

2.12671 

.  49170 

2.  03376 

.  51356 

1.94718 

4fl 

12 

.  44942 

2.22510 

.  47056 

2.  12511 

.  49206 

2.  03227 

.  51393 

1.94579 

48 

13 

.  44977 

2.22337 

.  47092 

2.  12350 

.  49242 

2.  03078 

.  51430 

1.94440 

•17 

14 

.45012 

2.  22164 

.47128 

2.  12190 

.  49278 

2.  02929 

.  51467 

1.94301 

46 

15 

.45047 

2.21992 

.  47163 

2.  12030 

.49315 

2.  02780 

.  51503 

1.  94162 

45 

16 

.45082 

2.21819  i 

.47199 

2.11871 

.  49351 

2.02631 

.  51540 

1.94023 

44 

17 

.45117 

2.21647  i 

.  47234 

2.11711 

.  49387 

2.  02483 

.  51577 

1.93885 

415 

18 

.  45152 

2.21475 

.  47270 

2.  11552 

.49423 

2.  02335 

.  51614 

1.93746 

42 

19 

.45187 

2.  21304 

.  47305 

2.  11392 

.  49459 

2.  02187 

.  51651 

1.93608 

41 

20 

.  45222 

2.21132  ; 

.  47341 

2.11233 

.  49495 

2.  02039 

.51688 

1.93470 

40 

21 

.  45257 

2.20961 

.  47377 

2.  11075 

.  49532 

2.  01891 

.  51724 

1.  93332 

39 

22 

.45202 

2.20790  i 

.  47412 

2.  10916 

.49568 

2.01743 

.  51761 

1.93195 

38 

23 

.45327 

2.  20619 

.  47448 

2.  10758 

.  49604 

2.  01596 

.  51798 

1.93057 

37 

24 

.45362 

2.20449  ! 

.47483 

2.  10600 

.49640 

2.01449 

.  51835 

1.  92920 

36 

25 

.  45397 

2.20278 

.47519 

2.  10442 

.  49G77 

2.  01302 

.  51872 

1.  -62782 

35 

26 

.45432 

2.20108 

.  47555 

2.  10284 

.49713 

2.01155 

.51909 

1.92645 

34 

27 

.  45467 

2.19938 

.  47590 

2.  10126 

.  49749 

2.  01008 

.  51946 

1.  92508 

33 

28 

.45502 

2.  19769 

.47626 

2.  09969 

.  49786 

2.00862 

.  51983 

1.92371 

32 

29 

.  45538 

2.19599 

.  47662 

2.  09811 

.  49822 

2.  00715 

.  52020 

1.92235 

31 

30 

.45573 

2.  19430 

.  47698 

2.  09654 

.49858 

2.  00569 

.  52057 

1.92098 

30 

31 

.45608 

2.19261 

.47733 

2.  09498 

.  49894 

2.00423 

.52094 

1.91962 

29 

32 

.  45643 

2.19092 

.  47769 

2.  09341 

.49931 

2.  00277 

.  52131 

1.91826 

2S 

33 

.45678 

2.18923  ! 

.  47805 

2.  09184 

.49967 

2.00131 

.  52168 

1.91690 

27 

34 

.45713 

2.  18755 

.  47840 

2.09028 

.50004 

1.99986 

.  52205 

1.91554 

26 

35 

.  45748 

2.18587  i 

.  47876 

2.08872 

.50040 

1.  99841 

.52242 

1.91418 

25 

36 

.  45784 

2.18419  ! 

.  47912 

2.  08716 

.50076 

1.  99695 

.  52279 

1.91282 

24 

37 

.  4,5819 

2.18251  ! 

.  47948 

2.08560 

.50113 

1.99550 

.52316 

1.91147 

23 

38 

.45854 

2.18084 

.47984 

2.  08405 

.50149 

1.  99406 

.  52353 

1.91012 

22 

39 

.45889 

2.17916 

.  48019 

2.08250 

.  50185 

1.99261 

.  52390 

1.90876 

21 

40 

.  45924 

2.  17749 

.  48055 

2.  08094 

.50222 

1.  99116 

.  52427 

1.90741 

20 

41 

.45960 

2.  17582 

.48091 

2.  07939 

.50258 

1.98972 

.  52464 

1.90607 

19 

42 

.  45995 

2.17416  i 

.48127 

2.  07785 

.  50295 

1.98828 

.  52501 

1.90472 

18 

43 

.46030 

2.  17249  1 

.  48163 

2.  07630 

.50331 

1.98684 

.  52538 

1.90337 

17 

44 

.46065 

2.  17083 

.  48198 

2.  07476 

.50368 

1.98540 

.  52575 

1.  90203 

16 

45 

.'46101 

2.16917 

.  48234 

2.  07321 

.50404 

1.98396 

.  52613 

1.90069 

15 

46 

.46136 

2.  16751 

.  48270 

2.  07167 

.  50441 

1.98253 

.  52650 

1.89935 

14 

47 

.46171 

2.  16585 

.  48306 

2.07014 

.50477 

1.98110 

.  52687 

1.89801 

13 

48 

.  46206 

2.  16420 

.  48342 

2.06860 

.50514 

1.97966 

.  52724 

1.  89667 

12 

49 

.  462-12 

2.  16255 

.48378 

2.  06706 

.50550 

1.97823 

.  52761 

1.  89533 

11 

50 

.  46277 

2.16090 

.  48414 

2.  06553 

.50587 

1.97681 

.  52798 

1.89400 

10 

51 

.46312 

2.  15925 

.48450 

2.06400 

.50623 

1.97538 

.  52836 

1  .  89206 

9 

52 

.46348 

2.  15760 

.  48486 

2.06247 

.50660 

1.97395 

.52873 

1.89133 

8 

53 

.46383 

2.  15596 

.  48521 

2.06094 

.  50696 

1.97253 

.52910 

1.89000 

7 

54 

.46418 

2.  15432 

.  48557 

2.  05942 

.  50733 

1.97111 

.  52947 

.88867 

6 

55 

.46454 

2.  15268 

.  48593 

2.  05790 

.  50769 

1.96969 

.52985 

.88734 

5 

56 

.  464S9 

2.  15104 

.  48629 

2.  05637 

.50806 

1.96827 

.  53022 

.  88602 

4 

57 

.  46525 

2.  14940 

.  48665 

2.  05485 

.50843 

1.96685 

.  53059 

.  88469 

3 

58 

.  46560 

2.  14777 

.  48701 

2.  05333 

.  50879 

1.96514 

.53096 

.88337 

2 

59 

.  46595 

2.  14614 

.  48737 

2.  05182 

.50916 

1.96402 

.53134 

.  88205 

1 

60 

.  46631 

2.  14451 

.  48773 

2.  05030 

.50953 

1.96261 

.  53171 

.88073 

0 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

t 

6 

5° 

6 

4° 

6 

3° 

6 

2° 

121 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


28° 

29° 

30° 

31° 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.53171 

1.  88073 

.55431 

1.80405  j 

.57735 

1.  73205 

.  60086 

1.  60428 

60 

1 

.53208 

1.  87941 

.55469 

1.  80281 

.57774 

1.  73089 

.60126 

1.GG318 

59 

2 

.53246 

1.  87809 

.55507 

1.  80158 

.57813 

1.  72973 

.601(15 

1.  66209 

58 

3 

.53283 

1.  87677 

.  55545 

1.  80034 

.57851 

1.  72S57 

.  60205 

1.  6C009 

57 

4 

.53320 

1.  87546 

.55583 

1.79911 

.57890 

1.72741 

.  60245 

1.  C5990 

56 

5 

.53358 

1.  87415 

.55621 

1.  79788 

.57929 

1.  72G25 

.60284 

1.  C5881 

55 

6 

.53395 

1.  87283 

.  55659 

1.  79665 

.  579C8 

1.  72509 

.  60324 

1.  C5772 

54 

7 

.  53432 

1.  87152 

.55697 

1.  79542 

.58007 

1.  72393 

.  60304 

1.C5663 

53 

8 

.53470 

1.  87021 

.  55736 

1.79419 

.  58046 

1.  72278 

.  60403 

1.  65554 

52 

9 

.53507 

1.  86891 

.  55774 

1.  79296 

.58085 

1.  72103 

.60443 

1.  65445 

51 

10 

.53545 

1.  86760 

.55812 

1.  79174 

.58124 

1.  72047 

.60483 

1.  65337 

50 

11 

.53582 

1.  86630 

.55850 

1.  79051 

.58162 

1.  71932 

.60522 

1.65228 

49 

12 

.  53020 

1.  86499 

.  55888 

1.  78929 

.58201 

1.71817 

.  605G2 

1.  65120 

48 

13 

.53657 

1.  86369 

.  55926 

1.  78807 

.58240 

1.  71702 

.  60602 

1.65011 

47 

14 

.53094 

1.86239 

.55964 

1.78685 

.58279 

1.  71588 

.60642 

1.  64903 

46 

15 

.53732 

1.  86109 

.  56003 

1  78563 

.58318 

1.  71473 

.  COG81 

1.  64795 

45 

1G 

.53769 

1.  85979 

.56041 

1.78441 

.58357 

1.71358 

.60721 

1.  64C87 

44 

17 

.53807 

1.85850 

.  56079 

1.78319 

.58396 

1.71244 

.  60761 

1.  64579 

43 

18 

.53844 

1.  85720 

.56117 

1.  78198 

.58435 

1.71129 

.  60801 

1.64471 

42 

19 

.53882 

1.  85591 

.56156 

1.  78077 

.58474 

1.71015 

.  60841 

1.  643G3 

41 

20 

.53920 

1.  85462 

.56194 

1.  77955 

.5&513 

1.  70901 

.60881 

1.  64256 

40 

21 

.53957 

1.  85333 

.56232 

1.  77834 

.  58552 

1.  70787 

.  60921 

1.  G414S 

*>Q 

22 

.53995 

1.  85204 

.56270 

1.  77713 

.58591 

1.  70673 

.  609(50 

1.64041 

38 

23 

.54032 

1.  85075 

.56309 

1.77592 

.58631 

1.  705CO 

.  61000 

1.  63934 

37 

24 

.  54070 

1.  84946 

.56347 

1.77471 

.58670 

1.  70446 

.  61040 

1.  6382G 

36 

25 

.54107 

1.84818 

.56385 

1.77351 

.58709 

1.  70332 

.  61080 

1.  63719 

35 

26 

.54145 

1.  84689 

.56424 

1.  77230 

.  58748 

1.  70219 

.61120 

1.  63G12 

34 

27 

.54183 

1.  84561 

.56462 

1.77110 

.  58787 

1.  70100 

.61160 

1.  63505 

33 

28 

.54220 

1.  84433 

.  50501 

1.  76990 

.58826 

1.  69992 

.  61200 

1.  63398 

32 

29 

.  54258 

1.  84305 

.  56539 

1.  76869 

.58865 

1.  69879 

.  61240 

1.  63292 

31 

30 

.54296 

1.84177 

.56577 

1.  76749 

.58905 

1.  69766 

.  61280 

1.  63185 

30 

31 

.54333 

1.  84049 

.  56616 

1.  76629 

.58944 

1.  69653 

.  61320 

1.  63079 

29 

32 

.54371 

1.  &3922 

.56654 

1.76510 

.  5S',)s:i 

1.  69541 

.  61360 

1.  62972 

28 

33 

.  54409 

1.  83794 

.56693 

1.76390 

.59022 

1.69428 

.  61400 

1.  62866 

27 

34 

.54446 

1.  83667 

.56731 

1.76271 

.  59061 

1.  69316 

.  61440 

1.  62760 

26 

35 

.54484 

1.83540 

.56769 

1.  76151 

.59101 

1.  69203 

.  61480 

1.  62654 

25 

36 

.54522 

1.  83413 

.56808 

1.  76032 

.59140 

1.  69091 

.  61520 

1.  62548 

24 

37 

.54560 

1.  83286 

.56846 

1.  75913 

.59179 

1.  68979 

.61561 

1.  62442 

23 

38 

.54597 

1.  83159 

.56885 

1.  75794 

.59218 

1.  68866 

.  61601 

1.  6233G 

22 

39 

.54636 

1.  83033 

.56923 

1.  75675 

.59258 

1.  68754 

.61641 

1.  62230 

21 

40 

.54673 

1.  82906 

.  56962 

1.  75556 

.59297 

1.68643 

.  61681 

1.  62125 

20 

41 

.54711 

1.  82780 

.57000 

1.75437 

.59336 

1.  68531 

.  61721 

1.  62019 

19 

42 

.54748 

1.  82654 

.57039 

1.  75319 

.59376 

1.  68419 

.  617G1 

1.  61914 

18 

43 

.54786 

1.  82528 

.  57078 

1.  75200 

.59415 

1.  68308 

.  61801 

1.61808 

17 

44 

.54824 

1.  82402 

.57116 

1.75082 

.  59454 

1.  68196 

.  61842 

1.  61703 

16 

45 

.54862 

1.  82276 

.  57155 

1.  74964 

.  59494 

1.  68085 

.  61882 

1.  61598 

15 

46 

.54900 

1.  82150 

.  57193 

1.  74846 

.59533 

1.  67974 

.  61922 

1.61493 

14 

47 

.54938 

1.  82025 

.57232 

1.  74728 

.59573 

1.  67863 

.  61962 

1.  61388 

13 

48 

.54975 

1.81899 

.57271 

1.  74610 

.59612 

1.  67752 

.  62003 

1.G12S3 

12 

49 

.55013 

1.81774 

.57309 

1.  74492 

.59651 

1.  67641 

.  62043 

1.  6!  179 

11 

50 

.55051 

1.  81649 

.  57348 

1.  74375 

.59691 

1.67530 

.62083 

1.  61074 

10 

51 

.55089 

1.  81524 

.57386 

1.  74257 

.  59730 

1.  67419 

.  62124 

1.  60970 

9 

52 

.55127 

1.  81399 

.  57425 

1.74140 

.59770 

1.  67309 

.  62164 

1.  60S65 

8 

53 

.55165 

1.81274 

.57464 

1.  74022 

.59809 

1.  67198 

.  62204 

1.  60761 

7 

54 

.55203 

1.81150 

.  57503 

1.  73905 

.59849 

1.  67088 

.  62245 

1.60C57 

6 

55 

.55241 

1.  81025 

.57541 

1.  73788 

.59888 

1.66978 

.62285 

1.  60553 

5 

56 

.  55279 

1.  80901 

.57580 

1.  73671 

.59928 

1.  66867 

.  62325 

1.  60449 

4 

57 

.55317 

1.  80777 

.57619 

1.  73555 

.  59967 

1.  66757 

.  62360 

1.  G0345 

3 

58 

.  5:>355 

1.  80653 

.57657 

1.  73438 

.60007 

1.  66647 

.  62406 

1.  C02-11 

2 

59 

.  55393 

1.  80529 

.  57696 

1.  73321 

.  60046 

1.  66538 

.63446 

1.  60137 

1 

00 

.55431 

1.  80405 

.  57735 

1.  73205 

.60086 

1.66428 

.  62487 

1.  60033 

0 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

\ 

61° 

60° 

59° 

58° 

122 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


32° 

33° 

34° 

35° 

, 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.62487 

1.60033 

.  64941 

1.53986 

.  67451 

1.48256 

.70021 

1.42815 

GO 

1 

.  62527 

1.  59930 

.64982 

1.  53888 

.  67493 

1.48163 

.  7C064 

1.  42726 

59 

2 

.  62568 

1.  59826 

.65024 

1.  53791 

.  67536 

1.  48070 

.  70107 

1.42G38 

58 

3 

.62608 

1.  59723 

.  65065 

1.  53693 

.  67578 

1.  47977 

.  70151 

1.  42550 

57 

4 

.  62649 

1.59620 

.  65106 

1.  53595 

.  67620 

1.47885 

.  70194 

1.42462 

5G 

5 

.62689 

1.  59517 

.  65148 

1.  53497 

.  67663 

1.47792 

.  70238 

1.  42374 

55 

6 

.  62730 

1.  59414 

.  65189 

1.  53400 

.  67705 

1.  47699 

.  70281 

1.42286 

54 

7 

.  62770 

1.  59311 

.  65231 

1.  53302 

.  67748 

1.47607 

.  70325 

1.  42198 

53 

8 

.62811 

1.  59208 

.  65272 

1.  53205 

.  67790 

1.  47514 

.  70368 

1.42110 

52 

9 

.  62852 

1.  59105 

.  65314 

1.53107 

.  67832 

1.47422 

.  70412 

1.42022 

51 

10 

.  62892 

1.  59002 

.  65355 

1.  53010 

.  67875 

1.  47330 

.  70455 

1.  41934 

50 

11 

.  62933 

1.58900 

.  65397 

1.  52913 

.  67917 

1.47238 

.  70499 

1.41847 

49 

12 

.  62973 

1.  58797 

.65438 

1.  52816 

.67960 

1.  47146 

.  70542 

1.41759 

48 

13 

.  63014 

1.  58695 

.  65480 

1.  52719 

.68002 

1.47053 

.  70586 

1.41672 

47 

14 

.  63055 

1.  58593 

.  65521 

1.  52622 

.68045 

1.  469G2 

.  70629 

1.  41584 

46 

15 

.  63095 

1.  58490 

.65563 

1.  52525 

.68088 

1.46870 

.70673 

1.41497 

45 

16 

.63136 

1.58388 

.  65C04 

1.  52429 

.  68130 

1.  46778 

.  70717 

1.  41409 

44 

17 

.63177 

1.  58286 

.  65646 

1.  52332 

.68173 

1.46686 

.70760 

1.  41322 

43 

18 

.63217 

1.  58184 

.65688 

1.  52235 

.68215 

1.46595 

.  70804 

1.41235 

42 

19 

.63258 

1.  58083 

.  65729 

1.  52139 

.68258 

1.  46503 

.  70848 

1.41148 

41 

20 

.63299 

1.  57981 

.  65771 

1.  52043 

.  68301 

1.  46411 

.  70891 

1.  41061 

40 

21 

.  63340 

1.  57879 

.65813 

1.  51946 

.  68343 

1.46320 

.70935 

1.  40974 

39 

22 

.63380 

1.57778 

.  658,54 

1.  51850 

.68386 

1.  46229 

.70979 

1.40887 

38 

23 

.  63421 

1.  57676 

.  65896 

1.  51754 

.68429 

1.46137 

.  71023 

1.  40800 

37 

24 

.  63462 

1.  57575 

.  65938 

1.  51658 

.  68471 

1.46046 

.  710G6 

1.  40714 

36 

25 

.  63503 

1.57474 

.  65980 

1.  51562 

.68514 

1.  45955 

.71110 

1.  40627 

35 

26 

.  G3544 

1.  57372 

.  66021 

1.  51466 

.68557 

1.  45864 

.  71154 

1.40540 

34 

27 

.63584 

1.  57271 

.  66063 

1.51370 

.68600 

1.45773 

.71198 

1.  40454 

33  ' 

28 

.  63625 

1.57170 

.  66105 

1.  51275 

.68642 

1.45082 

.  71242 

1.  40367 

32 

29 

.  63G66 

1.  57009 

.66147 

1.51179 

.68685 

1.45592 

.  71285 

1.  40281 

31 

30 

.  63707 

1.569G9 

.  66189 

1.  51084 

.68728 

1.  45501 

.  71329 

1.40195 

30  ! 

31 

.  63748 

1.56868 

.  66230 

1.  50988 

.68771 

1.45410 

.  71373 

1.  40109 

29 

32 

.637S9 

1.  56767 

.  66272 

1.  50893 

.68814 

1.45320 

.  71417 

1.40022 

28 

33 

.63830 

1.  56667 

.66314 

1.  50797 

.  68857 

1.  45229 

.  714G1 

1.39936 

27 

34 

.63871 

1.56566 

.66356 

1.  50702 

.68900 

1.  45139 

.  71505 

1.39850 

26 

35 

.63912 

1.  56466 

.  66398 

1.50607 

.68942 

1.45049 

.  71549 

1.  39764 

25 

36 

.63953 

1.  56366 

.  66440 

1.  50512 

.  68985 

1.  44958 

.  71593 

1.  39G79 

24 

37 

.63994 

1.  56265 

.66482 

1.  50417 

.69028 

1.44868 

.  71637 

1.39593 

23 

38 

.64035 

1.  56165 

.  66524 

1.  50322 

.  69071 

1.  44778 

.71681 

1.39507 

22 

39 

.64076 

1.56065 

.66566 

1.  50228 

.69114 

1.44688 

.  71725 

1.39421 

21 

40 

.  64117 

1.  55966 

.66608 

1.  50133 

.  69157 

1.  44598 

.  71769 

1.3933G 

20 

41 

.64158 

1.55866 

.  66650 

1.  50038 

.69200 

1.44508 

.71813 

1.  39250 

19 

42 

.64199 

1.  55766 

.  66692 

1.49944 

.69243 

1.  44418 

.  71857 

1.  39165 

18 

43 

.  64240 

1.  55666 

.  G6734 

1.49849 

.  69286 

1.44329 

.  71901 

1.  39079 

17 

44 

.64281 

1.  55567 

.  66776 

1.  49755 

.69329 

1.44239 

.  71946 

1.3S994 

16 

45 

.  64322 

1.  55467 

.66818 

1.  49661 

.  69372 

1.44149 

.71990 

1.38909 

15 

46 

.64363 

1.55368 

.66860 

1.49566 

.  69416- 

1.440GO 

.  72034 

1.38824 

14 

47 

.64404 

1.  55269 

.  6G902 

1.  49472 

.  69459 

1.43970 

.  72078 

1.38738 

13 

48 

.  64446 

1.55170 

.  66944 

1.49378 

.  69502 

1.  43881 

.  72122 

1.38653 

12 

49 

.  64487 

1.  55071 

.  66986 

1.49284 

.  69545 

1.  43792 

.  72167 

1.38568 

11 

50 

.64528 

1.  54972 

.  67028 

1.49190 

.69588 

1.  43703 

.  72211 

1.38484 

10 

51 

.64569 

1.  54873 

.  67071 

1.  49097 

.  69631 

1.  43614 

.72255 

1.  38399 

9 

52 

.64610 

1.  54774 

.  67113 

1.49003 

.  69675 

1.  43525 

.72299 

1.38314 

8 

53 

.64652 

1.  54675 

.  67155 

1.  48909 

.  69718 

1.  43436 

.  72344 

1.38229 

7 

54 

.  64693 

1.  54576 

.  67197 

1.  48816 

.  697G1 

1.43347 

.  72388 

1.33145 

6  i 

55 

.64734 

1.  54478 

.  67239 

1.48722 

.  69804 

1.  43258 

.  72432 

1.380GO 

5 

56 

.64775 

1.  54379 

.  67282 

1.48629 

.  69847 

1.  431G9 

.  72477 

1.37976 

4 

57 

.64817 

1.  54281 

.67324 

1.48536 

.  69891 

1.43080 

.  72521 

1.37891 

3 

58 

.64858 

1.54183 

.67366 

1.  48442 

.  69934 

1.  42992 

.  725G5 

1.  37807 

2 

59 

.  64899 

1.  54085 

.67409 

1.48349 

.  69977 

1.  42903 

.  72G10 

1.  37722 

1 

60 

.64941 

1.  53986 

.  67451 

1.48256 

.70021 

1.  42815 

.  72654 

1.37638 

0 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

57° 

56° 

55° 

54° 

123 


TABLE  8.— NATURAL  TANOENTS  AND  COTANGENTS. 


3 

6° 

3 

7° 

3 

8° 

3 

9° 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.72054 

1.37638 

.  75355 

1.32704 

.  78129 

1.  27994 

.  80978 

1.23490 

CO 

1 

.72G99 

1.  37554 

.  75401 

1.32624 

.  78175 

1.  27917 

.  81027 

1.23-116 

59 

2 

.  72743 

1.37470 

.  75447 

1.  32544 

.  78222 

1.  27841 

.  81075 

1.  23343 

58 

3 

.72788 

1.37386 

.75492 

1.32164 

.  78269 

.  27764 

.81123 

1.  23270 

57 

4 

.  72832 

1.  37302 

.  75538 

1.  32384 

.78316 

.  27688 

.81171 

1.  23190 

56 

5 

.  72877 

1.37218 

.  75584 

1.  32304 

.78303 

.  27611 

.  81220 

1.23123 

55 

6 

.72921 

1.37134 

.75629 

1.  32224 

.  78410 

.27535 

.  81208 

1.23050 

54 

7 

.  7290G 

1.  37050 

.  75675 

1.  32144 

.78457 

.  27458 

.  81316 

1.  22977 

53 

8 

.  73010 

1.  36967 

.  75721 

1.320G4 

.78504 

.  27382 

.81364 

1.  22904 

52 

9 

.73055 

L  36688 

.  75767 

1.  31984 

.  78551 

.  2730G 

.  81413 

1.  22831 

51 

10 

.73100 

1.3G800 

.  75812 

1.31904 

.78598 

.27230 

.  81461 

1.22758 

50 

11 

.73144 

1.  36716 

.75858 

1.  31825 

.  7SG45 

.  27153 

.  81510 

1.22085 

49 

12 

.  73189 

1.36633 

.75904 

1.31745 

.  78692 

.  27077 

.  81558 

1.22G12 

48 

13 

.  73234 

1.36549 

.75950 

1.31666 

.  78739 

.27001 

.  81G06 

1.  22539 

47 

14 

.  73278 

1.36466 

.759% 

1.31586 

.  78780 

.  20925 

.  81655 

1.22407 

46 

15 

.73323 

1.36383 

.  76042 

1.31,307 

.78834 

.  20849 

.  81703 

1.  22394 

45 

16 

.  733G8 

1.36300 

.  76988 

1.31427 

.  78881 

.26774 

.  81752 

1.  22321 

44 

17 

.  73413 

1.  36217 

.  76134 

1.31348 

.78928 

.  2G698 

.  81800 

1.  22249 

43 

18 

.  73457 

1.36134 

.  76180 

1.312G9 

.  78975 

.  26622 

.  81849 

1.22170 

42 

19 

.73502 

1.  36051 

.  7622G 

1.31190 

.  79022 

.  26546 

.  81898 

1.22104 

41 

20 

.  73547 

1.35968 

.76272 

1.31110 

.79070 

.  26471 

.81946 

1.22031 

40 

21 

.  73592 

1.35885 

.76318 

1.31031 

.79117 

.  26395 

.  81995 

1.21959 

39 

22 

.73C.37 

1.  35802 

.  7(804 

1.30952 

.79164 

.26319 

.  82044 

1.  21886 

38 

23 

.  73681 

1.35719 

.70410 

1.30873 

.  79212 

.  262-14 

.82092 

1.21814 

37 

24 

.73726 

1.35637 

.76456 

1.  30795 

.79259 

.  26169 

.  82141 

1.21742 

36 

25 

.73771 

1.35554 

.76502 

1.30716 

.  79300 

.2G093 

.  82190 

1.  21070 

35 

20 

.  73816 

1.35472 

.76548 

1.  30637 

.  79354 

.  26018 

.  82238 

1.21598 

34 

27 

.  738G1 

1.  353S9 

.  76594 

1.  30558 

.  79401 

.25943 

.  82287 

1.  21526 

33 

28 

.  73906 

1.  35307 

.76640 

1.30480 

.  79449 

.  25807 

.  82336 

1.  21454 

32 

29 

.73951 

1.  35224 

.  76086 

1.30401 

.  79496 

.25792 

.82385 

1.21382 

31 

30 

.  73996 

1.35142 

.  76733 

1.  30323 

.  79544 

.25717 

.  82434 

1.21310 

30 

31 

.74041 

1.  350GO 

.  76779 

1.30244 

.  79591 

.25642 

.82483 

1.  21238 

29 

32 

.  74086 

1.  34978 

.76825 

1.30166 

.79639 

.  255G7 

.82531 

1.21100 

28 

33 

.  74131 

1.  34896 

.  76871 

1.30087 

.  79G86 

.25492 

.  82580 

1.  21094 

27 

34 

.  74176 

1.34814 

.  76918 

1.30009 

.  79734 

.25417 

.82629 

1.  21023 

26 

35 

.  74221 

1.  34732 

.  76964 

1.  29931 

.  79781 

.  25343 

.  82678 

1.20951 

25 

30 

.  742G7 

1.34650 

.  77010 

1.  29853 

.  79829 

.  252C8 

.  82727 

1.  20S79 

24 

37 

.  74312 

1.34568 

.77057 

1.  29775 

.  79877 

.25193 

.  S2770 

1.20808 

23 

38 

.  74357 

1.34487 

.  77103 

1.  29696 

.  79924 

.25118 

.  82825 

1.20736 

22 

39 

.  74402 

1.  34405 

.  77149 

1.29618 

.  79972 

.25044 

.82874 

1.20G(T) 

21 

40 

.  74447 

1.  34323 

.  77196 

1.29541 

.80020 

.  249C9 

.82923 

1.20593 

20 

41 

.74492 

1.  34242 

.  77242 

1.  29463 

.80067 

.24895 

.  82972 

1.  20522 

19 

42 

.  74538 

1.34160 

.  77289 

1.  29385 

.80115 

.  24820 

.  83022 

1.20451 

18 

43 

.74583 

1.  34079 

.  77335 

1.  29307 

.  83103 

.  24740 

.83071 

1.  20379 

17 

44 

.  74G28 

1.  33998 

.  77382 

1.  29229 

.  80211 

.  24672 

.  83120 

1.  20308 

16 

45 

.  74674 

1.  33916 

.  77428 

1.  29152 

.  80258 

.  24597 

.  831C9 

1.  20237 

15 

40 

.  74719 

1.33835 

.  77475 

1.  29074 

.80306 

.  24523 

.  83218 

1.  20100 

14 

47 

.  74764 

1.  33754 

.77521 

1.  28997 

.80354 

.24449 

.83268 

1.  20095 

13 

48 

.  74810 

1.33673 

.  775C8 

1.  28919 

.80402 

.  24375 

.83317 

1.20024 

12 

49 

.  74855 

1.33592 

.  77615 

1.  28812 

.80450 

.  24301 

.  83366 

1.  19953 

11 

50 

.74900 

1.33511 

.  77661 

1.  28764 

.80498 

.  24227 

.83415 

1.  19882 

10 

51 

.  74946 

1.33430 

.  77708 

1.28687 

.80546 

.  24153 

.  83465 

1.19811 

9 

52 

.  74991 

1.33349 

.  77754 

1.  28610 

.  80594 

.  24079 

.83514 

1.  19740 

8 

53 

.  75037 

1.33268 

.  77801 

1.  28533 

.  80C42 

.24005 

.  S.'55<!4 

1.  19G09 

7 

54 

.  75082 

1.  33187 

.  77848 

1.28450 

.80690 

.  23931 

.  83613 

1.  19599 

0 

55 

.  75128 

1.33107 

.  77895 

1.  28379 

.  80738 

.  23S58 

.83602 

1.  19528 

5 

5G 

.75173 

1.3S026 

.  77941 

1.28302 

.  80786 

.  23784 

.83712 

1.  19457 

4 

57 

.  75219 

1.  329  4G 

.77988 

1.  28225 

.  80834 

.23710 

.  83701 

1.  193S7 

3 

58 

.  752G4 

1.328C5 

.78035 

1.  28148 

.  808S2 

.  23037 

.83811 

1.  19316 

2 

59 

.  75310 

1.  3278.') 

.78082 

1.  2S071 

.80930 

.235(53 

.83860 

1.  19246 

1 

60 

.  75355 

1.32704 

.  78129 

1.  27994 

.  80978 

.23490 

.  83910 

1.19175 

o 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

1 

3° 

5 

2° 

5 

1° 

| 

O° 

124 


TABLE  8.— NATURAL  TANGENTS  AND  COTANGENTS. 


4 

0° 

4 

1° 

4 

3° 

4 

3° 

•f 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.  83910 

1.19175 

.  86929 

1.  15037 

.90040 

1.11061 

.  93252 

1.07237 

60 

1 

.  83960 

1.19105 

.  869SO 

1.14969 

.  90093 

1.10996 

.  93306 

.07174 

59 

2 

.84009 

1.19035 

.  87031 

1.14902 

.90U6 

1.10931 

.  93360 

.07112 

58 

3 

.  84059 

1.18964 

.  87082 

1.14834 

.  90199 

1.10867 

.93415 

.  07049 

57 

4 

.  84108 

1.18894 

.  87133 

1.14767 

.  90251 

1.1  08.02 

.  93469 

.  06987 

56 

5 

.  84158 

1.  18824 

.87184 

1.14699 

.  90304 

1.10737 

.  93524 

.  06925 

55 

0 

.  84208 

1.18754 

.  87236 

1.14632 

.90357 

1.10672 

.  93578 

.  06862 

54 

7 

.  84258 

1.18684 

.  87287 

1.14565 

.  90410 

1.10607 

.  93633 

.  06800 

53 

8 

.  84307 

1.18614 

.  87338 

1.14498 

.  90463 

1.10543 

.  93688 

.06738 

52 

9 

.  84357 

1.18544 

.  87389 

1.14430 

.90516 

1.10178 

.  93742 

.  06676 

51 

10 

.  84407 

1.  18474 

.  87441 

1.  14363 

.90569 

1.10414 

.  93797 

.  06613 

50 

11 

.  84457 

1.18404 

.  87492 

1.14296 

.  90621 

1.10349 

.  93852 

.  06551 

49 

12 

.  84507 

1.18334 

.  87543 

1.14229 

.  90o74 

1.10285 

.  93906 

.  06489 

48 

13 

.  84556 

1.18264 

.  87595 

1.  14162 

.  90727 

1.10220 

.  93901 

.06427 

47 

14 

.  84606 

1.  18194 

.  87646 

1.14095 

.90781 

1.10156 

.  94016 

.  06365 

46 

15 

.  84656 

1.18125 

.  87698 

1.14028 

.  90834 

1.10091 

.  94071 

.06303 

45 

10 

.  8470o 

1.18055 

.  87749 

1.13961 

.  90887 

1.10027 

.  94125 

1.06241 

44 

17 

.  84756 

1.17986 

.  87801 

1.13894 

.  90940 

1.09963 

.  94180 

1.  06179 

43 

IS 

.  84806 

1.17916 

.  87852 

1.13828 

.  90993 

1.  09899 

.  94235 

1.06117 

42 

19 

.  84856 

1.17846 

.  87904 

1.13761 

.  91046 

1.09834 

.94290 

1.06056 

41 

20 

.84906 

1.17777 

.  87955 

1.13694 

.91099 

1.09770 

.94345 

1.  05994 

40 

21 

.  84956 

1.  17708 

.88007 

1.  13627 

.91153 

1.09706 

.94400 

1.05932 

39 

22 

.85006 

1.17638 

.  88059 

1.13561 

.  91206 

1.  09642 

.  94455 

1.05870 

38 

23 

.85057 

1.17569 

.  88110 

1.13494 

.  91259 

1.09578 

.  94510 

l.  o-iMK) 

37 

24 

.  85107 

1.  17500 

.  88162 

1.13428 

.91313 

1.09514 

.  94565 

1.  05747 

36 

25 

.85157 

1.17430 

.  88214 

1.13361 

.  91366 

1.  09450 

.  94620 

1.  05685 

35 

26 

.  85207 

1.17361 

.  88265 

1.13295 

.  91419 

1.  09386 

.  94676 

1.  05624 

34 

27 

.  85257 

1.  17292 

.  88317 

1.  13228 

.91473 

1.  09322 

.  94731 

1.05562 

33 

28 

.  85308 

1.17223 

.  88369 

1.13162 

.  91526 

1.  09258 

.  94786 

1.05501 

32 

23 

.  85358 

1.17154 

.88421 

1.13096 

.  91580 

1.09195 

.  94841 

1.05439 

31 

30 

.  85408 

1.  17085 

.  88473 

1.13029 

.  91633 

1.09131 

.  94896 

1.  05378 

30 

31 

.  85458 

1.17016 

.  88524 

1.12963 

.91687 

1.09067 

.  94952 

1.05317 

29 

32 

.  85509 

1.  16947 

.  88576 

1.  12897 

.  91740 

1.09003 

.95007 

1.  05255 

28 

33 

.  85559 

1.  16878 

.  88628 

1.12831 

.91794 

1.08940 

.95062 

1.05194 

27 

34 

.  85609 

1.  16809 

.  88680 

1.  12765 

.91847 

1.08876 

.95118 

1.05133 

26 

35 

.  85660 

1.  16741 

.  88732 

1.  12699 

.  91901 

1.08813 

.  95173 

1.05072 

25 

36 

.  85710 

1.16672 

.  88784 

1.  12633 

.  91955 

1.08749 

.95229 

1.05010 

24 

37 

.  85761 

1.16603 

.88836 

1.12567 

.92008 

1.08686 

.  95284 

1.04949 

23 

38 

.  85811 

1.16535 

.  88888 

1.12501 

.  92062 

1.08622 

.  95340 

1.04888 

22 

39 

.  858C2 

1.  16466 

.  88940 

1.  12435 

.92116 

1.  08559 

.  95395 

1.  04827 

21 

40 

.  85912 

1.  16398 

.88992 

1.12369 

.92170 

1.  08496 

.  95451 

1.  04766 

20 

41 

.859C3 

1.16329 

.  89045 

1.12303 

.  92224 

1.08432 

.95506 

1.04705 

19 

42 

.  86014 

1.  16261 

.89097 

1.  12238 

.  92277 

1.08369 

.  95562 

1.04044 

18 

43 

.  86064 

1.16192 

.  89149 

1.12172 

.  92331 

1.08306 

.  95618 

1.04583 

17 

44 

.  86115 

1.16124 

.  89201 

1.12106 

.  92385 

1.08243 

.  95673 

1.04522 

16 

45 

.  86166 

1.16056 

.  89253 

1.12041 

.  92439 

1.08179 

.  95729 

1.04461 

15 

40 

.  86216 

1.15987 

.  89306 

1.11975 

.  92493 

1.  08116 

.  95785 

1.04401 

14 

47 

.  86267 

1.15019 

.  89358 

1.11909 

.  92547 

1.  08053 

.  95841 

1.04340 

13 

48 

.86318 

1.15851 

.  89410 

1.11844 

.  92601 

1.07990 

.  95897 

1.04279 

12 

49 

.  86368 

1.15783 

.  89463 

1.11778 

.  92655 

1.07927 

.  95952 

1.04218 

11 

50 

.  86419 

1.15715 

.  89515 

1.11713 

.92709 

1.  07864 

.96008 

1.04158 

10 

51 

.  86470 

1.15647 

.  89567 

1.11648 

.  92763 

1.07801 

.96064 

1.04097 

9 

52 

.  86521 

1.  15579 

.  89620 

1.11582 

.92817 

1.07738 

.  96120 

1.  04036 

8 

53 

.  86572 

1.15511 

.  89672 

1.11517 

.  92872 

1.  07676 

.  96176 

1.03976 

7 

51 

.86623 

1.15443 

.  89725 

1.11452 

.  92926 

1.07613 

.  96232 

1.03915 

6 

55 

.  86674 

1.15375 

.  89777 

1.11387 

.  92980 

1.07550 

.  96288 

1.03855 

5 

56 

.  86725 

1.15308 

.  89830 

1.11321 

.  93034 

1.  07487 

.  96344 

1.03794 

4 

57 

.  86776 

1.15240 

.  89883 

1.11256 

.  93088 

1.  07425 

.  96400 

1.  03734 

3 

58 

.  8(5827 

1.15172 

.  89935 

1.11191 

.93143 

1.07362 

.  96457 

1.03674 

2 

59 

.  86878 

1.15104 

.  89988 

1.11126 

.  93197 

1.07299 

.96513 

1.  03(13 

1 

GO 

.86929 

1.15037 

.90040 

1.  11061 

.  93252 

1.  07237 

.  96569 

1.  03553 

0 

, 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

, 

4 

9° 

4 

8° 

4 

7° 

4 

6° 

125 


TABLE  8.-NATURAL  TANGENTS  AND  COTANGENTS. 


44° 

t 

f 

44° 

f 

44° 

Tang. 

Cotang. 

Tang. 

Cotang. 

Tang. 

Cotang. 

0 

.96561 

1.  03553 

go 

~20~ 

.97700 

1.02355 

~40~ 

~40~ 

.  98843 

1.01170     20 

1 

.96625 

1.  03493 

59 

21 

.  97756 

1.  02295 

39 

41 

.  98S01 

1.01112     19 

2 

.  96681 

1.03433 

58 

22 

.  97813 

1.  02236 

38 

42 

.  98958 

1.01053 

18 

3 

.  96738 

1.03372 

57 

23 

.  97870 

1.02176 

37 

43 

.99016 

1.00994 

17 

4 

.  96794 

1.03312 

56 

24 

.  97927 

1.02117 

36 

44 

.  99073 

1.00935 

16 

5 

•T96850 

1.03252 

55 

25 

.  97984 

1.02057 

35 

45 

.99131 

1.00876 

15 

6 

.  96907 

1.  03192 

54 

26 

.  98041 

1.01998 

34 

46 

.99189 

LOOMS 

14 

7 

.  969(13 

1.03132 

53 

27 

.  98098 

1.01939 

33 

47 

.  99247 

1.00759 

13 

8 

.  97020 

1.03072 

52 

28 

.98155 

1.01879 

32 

48 

.  99304 

1.00701 

12 

9 

.  97076 

1.03012 

51 

29 

.98213 

1.01820 

31 

49 

.  99362 

L.  00642 

11 

10 

.  97133 

1.02952 

50 

30 

.  98270 

1.01701 

30 

50 

.  99420 

1.00583 

10 

11 

.97189 

1.02892 

49 

31 

.  98327 

1.01702 

29 

51 

.  99478 

1.00525 

9 

12 

.  97246 

1.02832 

48 

32 

.98384 

1.01642 

28 

52 

.  9953G 

L  00467 

8 

13 

.  97302 

1.02772 

47 

33 

.  98441 

1.01583 

27 

53 

.  99594 

1.00408 

7 

14 

.  97359 

1.02713 

46 

34 

.98199 

1.01524 

26 

54 

.  99(152 

1.  00350 

6 

15 

.97416 

1.02653 

45 

35 

.  98556 

1.014(15 

25 

55 

.99710 

1.00291 

5 

16 

.  97472 

1.02593 

44 

36 

.98613 

1.01406 

24 

56 

.  99768 

1  .  00233 

4 

17 

.97529 

1.02533 

43 

37 

.98.171 

1.01347 

23 

57 

.  99826 

1.00175 

3 

18 

.97586 

1.02474 

42 

38 

.  98728 

1.012NS 

22 

58 

.  99884 

1.00116 

2 

19 

.97643 

1.02414 

41 

39 

.  98786 

1.01229 

21 

59 

.99942 

1.00058 

1 

20 

.97700 

1.02355 

40 

40 

.98843 

1.01170 

20 

60 

1.00000 

1.00000 

0 

j 

Cotang. 

Tang. 

, 

, 

Cotang. 

Tang. 

f 

'•• 

Cotang. 

Tang. 

45° 

45° 

45° 

126 


TABLE  9.— LOGARITHMIC  SINES,  COSINES,  ETC. 


179C 


" 

' 

Sine. 

S.   T. 

Tat:-. 

Cotang. 

C. 

D.  1". 

Cosine. 

4.  685 

15.  314 

0 

0 

Inf.nep. 

575 

575 

Inf.  neg. 

Inf.  pos. 

425 

ten 

(0 

1 

6.  4i;:V/2(i 

575 

575 

6.  463726 

13.  536274 

425 

ten 

120 

2 

.764756 

575 

675 

.  764756 

.  235244 

425 

ten 

180 

3 

6.  940847 

575 

575 

6.  940847 

13.  059153 

425 

ten 

240 

4 

7.  0657SO 

575 

575 

7.  OC5786 

12.  934214 

425 

ten 

300 

5 

.162696 

575 

575 

.  162096 

.  837304 

425 

no 

ten  ^ 

360 

6 

.241877 

575 

575 

.  241878 

.  758122 

425 

.  UH 

nn 

9.  999999 

420 

7 

.  308824 

575 

575 

.308825 

.691175 

425 

.  (JO 
00 

.999999 

480 

8 

.  366816 

574 

576 

.366817 

.633183 

424 

»  uu 
on 

.  999999 

540 

9 

.417968 

574 

576 

.  417970 

.  582030 

424 

*  UU 

.  999999 

COO 

10 

.463726 

574 

576 

.  463727 

.  536273 

424 

.02 

.999998 

660 

11 

7.505118 

574 

576 

7.  505120 

12.  494880 

421 

.00 
no 

9.  999998 

720 

12 

.  542906 

574 

577 

.  542909 

.457091 

423 

.  OZ 
no 

.  9S9397 

780 

13 

.  577668 

574 

577 

.  577672 

.  422328 

423 

.  uu 
no 

.  999997 

840 

14 

.  609853 

574 

577 

.609857 

.390143 

423 

.  UZ 
nn 

.999996 

900 

15 

.  639816 

573 

578 

.  639820 

.  360180 

422 

.  UU 
no 

.  999990 

900 

16 

.  667845 

573 

578 

.  667849 

.  332151 

422 

.  (J2 
nn 

.  999995 

1020 

17 

.  694173 

573 

578 

.  694179 

.305821 

422 

.UU 
no 

.  999995 

1080 

18 

.  718997 

573 

579 

.  719003 

.  280997 

421 

.  U  - 

a-* 

.  999994 

1140 

19 

.  742478 

573 

579 

.  742484 

.257516 

421 

g 

.  999993 

1200 

20 

.  764754 

572 

580 

.  764761 

.  235239 

420 

.  00 

.  999993 

1260 

21 

7.  785943 

572 

580 

7.  785951 

12.  214049 

420 

.02 
no 

9.  999992 

1320 

22 

.  806146 

572 

581 

.  806155 

.  193845 

419 

.  \jZ 
M 

.  999991 

1380 

23 

.  825451 

572 

581 

.825460 

.  174540 

419 

*  UJ 

.999990 

1440 

24 

.  843934 

571 

582 

.  843944 

.  156056 

418 

.  02 
nn 

.  999989 

1500 

25 

.  861662 

571 

583 

.  861674 

.  138326 

417 

.  UU 
no 

.999989 

1560 

26 

.  878695 

571 

583 

.  878708 

.  121292 

417 

.U^ 

.  999988 

1620 

27 

.  895085 

570 

584 

.  895099 

.  104901 

416 

.02 
no 

.  999987 

1680 

28 

.910879 

570 

584 

.  910894 

.089106 

416 

tVZ 

.999986 

1740 

29 

.926119 

570 

585 

.926134 

.073866 

415 

.02 

.999985 

1800 

30 

.  940842 

569 

586 

.940858 

.059142 

414 

.03 

.999983 

1860 

31 

7.955082 

569 

587 

7.  955100 

12.  044900 

413 

.02 
no 

9.  999982 

1920 

32 

.  968870 

569 

587 

.968889 

.031111 

413 

.  0& 

.999981 

1980 

33 

.982233 

568 

588 

.  982253 

.017747 

412 

.02 
no 

.999980 

2040 

34 

7.  995198 

568 

589 

7.  995219 

12.004781 

411 

.  (j6 
no 

.999979 

2100 

35 

8.  007787 

567 

590 

8.  007809 

11.992191 

410 

.  Uo 
no 

.999977 

2160 

36 

.020021 

567 

591 

.020044 

.  979956 

469 

•  \j£t 

no 

.999976 

2220 

37 

.031919 

566 

592 

.  031945 

.968055 

408 

.Uz 

.999975 

2280 

38 

.  043501 

566 

593 

.043527 

.  956473 

407 

.03 
no 

.999973 

2340 

39 

.  054781 

566 

593 

.  054809 

.945191 

407 

.  \J£t 

.  999972 

2400 

40 

.  065776 

565 

594 

.065806 

.934194 

406 

.02 

.  999971 

2460 

41 

8.  076500 

565 

595 

8.  076531 

11.923469 

405 

.03 

9.999969 

2520 

42 

.  086965 

564 

596 

.086997 

.913003 

404 

.02 

.  999968 

2580 

43 

.  097183 

564 

598 

.097217 

.  902783 

402 

.03 

.999966 

2640 

44 

.  107167 

563 

599 

.  107203 

.  892797 

401 

.  03 
no 

.  999964 

2700 

45 

.  116926 

562 

600 

.  116963 

.  883037 

400 

*  i  •  - 

no 

.  999963 

2760 

46 

.  12(5471 

562 

601 

.  126510 

.  873490 

399 

.Uo 

no 

.  999961 

2820 

47 

.  135810 

561 

602 

.  135851 

.  864149 

398 

.  Uo 
no 

.  999959 

2880 

48 

.  144953 

561 

603 

.  144996 

.855004 

397 

.  (JZ 

.  999958 

2940 

49 

.  153907 

560 

604 

.  153952 

.  846048 

396 

.03 

no 

.999956 

3000 

50 

.  162681 

560 

605 

.  162727 

.837273 

395 

.  Uo 

.  999954 

3060 

51 

8.  171280 

559 

607 

8.  171328 

11.  828672 

393 

.03 

f»0 

9.999952 

3120 

52 

.  179713 

558 

608 

.  179763 

.  820237 

392 

.  Uo 

n*3 

.  999950 

3180 

53 

.  187985 

558 

609 

.  188036 

.811964 

391 

.Uo 

.  999948 

3240 

54 

.  196102 

557 

611 

.  196156 

.  803844 

389 

.  03 

rio 

.999946 

3300 

55 

.  204070 

556 

612 

.  204126 

.  795874 

388 

.  Uo 
no 

.  999944 

3360 

56 

.211895 

556 

613 

.211953 

.  788047 

387 

.  Uo 

.  999942 

3420 

57 

.  219581 

555 

615 

.  219641 

.  7S0359 

385 

.03 
no 

.  999940 

3480 

58 

.  227134 

554 

616 

.  227195 

.  772805 

384 

.  Uo 
/v> 

.  999938 

3540 

59 

.  234557 

554 

618 

.  234621 

.  765379 

382 

.Uo 

.999936 

3600, 

60 

8.  241855 

553 

619 

8.  241921 

11.75S079 

381 

.  03 

9.  999934 

4.685 

15.314 

" 

' 

Cosine. 

Cotang. 

Tang. 

D.  1". 

Sine. 

90° 


89° 


127 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


178C 


" 

' 

Sine. 

S.  T. 

Tang. 

Cotang. 

C. 

D.I". 

Cosine. 

' 

4.685 

15.314 

3GOO 

0 

8.241855 

553 

619 

8.  241G21 

11.  758079 

381 

9.  999934 

60 

3060 

1 

.  249033 

552 

620 

.  249102 

.  750898 

380 

.  03 

nr: 

.  999!«2 

59 

3720 

2 

.  256094 

551 

622 

.  256165 

.743835 

378 

.  Uo 

m 

.  Si:»'.y.L!(.) 

58 

3780 

3 

.  203042 

551 

623 

.203115 

.  730885 

377 

.  Uo 

.  909927 

57 

3840 

4 

.269881 

550 

625 

.  209950 

.  730044 

375 

.  03 

a- 

.999925 

56 

3900 

5 

.276614 

549 

627 

.  276691 

.  7233C9 

373 

^) 

.  999922 

55 

3960 

6 

.  283243 

548 

628 

.  283323 

.  716677 

372 

.  03 

.  909920 

54 

4020 

7 

.  289773 

547 

630 

.  289856 

.710144 

370 

.  03 

HK 

.  999918 

53 

4080 

8 

.  290207 

546 

632 

.  296292 

.  703708 

308 

.  Uo 

.998915 

52 

4140 

9 

.  302546 

546 

633 

.  302634 

.  697366 

307 

.  03 

nr 

.999013 

51 

4200 

10 

.  308794 

545 

635 

.308884 

.691116 

365 

.  UO 

.999910 

50 

4260 

11 

8.  314954 

544 

637 

8.315046 

11.  684954 

363 

.05 

f>9 

9.  999907 

49 

4320 

12 

.  321027 

543 

638 

.321122 

.  678878 

362 

.  Uo 

.  99(J90o 

48 

4380 

13 

.  327016 

542 

640 

.327114 

.  672886 

300 

.  05 

.  999902 

47 

4440 

14 

.  332924 

541 

642 

.  333025 

.  006975 

358 

.  05 

AM 

.  909899 

46 

4500 

15 

.  338753 

540 

644 

.  338856 

.  001144 

356 

.  Uo 

.  999897 

45 

4560 

10 

.  344504 

539 

646 

.  344610 

.  655390 

354 

.  05 

ac 

.999894 

44 

4620 

17 

.  350181 

539 

648 

.  350289 

.  649711 

352 

L) 

.  999891 

43 

4680 

18 

.355783 

538 

649 

.  355895 

.  644105 

351 

.  05 

nr: 

.  900SS8 

42 

4740 

19 

.  361315 

537 

651 

.  361430 

.  638.570 

349 

.  Uo 

.  999885 

41 

4800 

20 

.  366777 

536 

653 

.  366895 

.633105 

347 

.05 

.999882 

40 

4860 

21 

8.  372171 

535 

655 

8.  372292 

11.  627708 

345 

.05 

9.  999879 

39 

4920 

22 

.  377499 

534 

657 

.377622 

.  622378 

343 

.05 

.  999876 

38 

4980 

23 

.  332762 

533 

659 

.  382889 

.617111 

341 

.  05 

rvr 

.  999873 

37 

5040 

24 

.  387962 

532 

661 

.388092 

.  611908 

339 

.  Uo 

.  999870 

30 

5100 

25 

.  393101 

531 

663 

.393234 

.600766 

337 

.  05 
f\\ 

.  999867 

35 

5160 

26 

.  398179 

530 

666 

.  398315 

.601685 

334 

.  ()•> 

.  999864 

34 

5220 

27 

.  403199 

529 

668 

.  403338 

.  596662 

332 

.  05 

.  999861 

33 

5280 

28 

.  408161 

^97 

670 

.408304 

.  591696 

330 

.  05 

H7 

.  999858 

32 

5340 

29 

.413068 

526 

672 

.  413213 

.  586787 

328 

.  Uf 

.  999854 

31 

5400 

30 

.  417919 

525 

674 

.418068 

.  581932 

326 

.  05 

.999851 

30 

5460 

31 

8.  422717 

524 

676 

8.  422869 

11.577131 

324 

.05 

9.  999848 

29 

5520 

32 

.  427462 

523 

679 

.  427618 

.572382 

321 

.  07 
HE 

.  999844 

28 

5580 

33 

.  432156 

522 

681 

.  432315 

.  567685 

319 

.  UO 
f\~ 

.  999841 

27 

5640 

34 

.436800 

521 

683 

.  436962 

.563038 

317 

.  U) 

H7 

.999S38 

26 

5700 

35 

.  441394 

520 

685 

.  441560 

.  558440 

315 

.  U/ 
f\e 

.  999834 

25 

5760 

36 

.  445941 

518 

688 

.  446110 

.553890 

312 

.  Uo 

.  99&S31 

24 

5820 

37 

.  450440 

517 

690 

.  450613 

.  549387 

310 

.  07 

/\- 

.  999827 

23 

5880 

38 

.  454893 

516 

693 

.  455070 

.  544930 

307 

•  Uo 

H7 

.  999824 

22 

5940 

39 

.  459301 

515 

695 

.  459481 

.  540519 

305 

.  U/ 

.  999820 

21 

6000 

40 

.463665 

514 

697 

.  463849 

.536151 

303 

.  07 

.999816 

20 

6060 

41 

8.  467985 

512 

700 

8.  468172 

11.531828 

300 

.05 

9.  999813 

19 

6120 

42 

.  472263 

511 

702 

.  472454 

.  527546 

298 

.  07 

A7 

.  999809 

18 

6180 

43 

.  476498 

510 

705 

.  476693 

.  523307 

295 

.  U* 

(Y* 

.999805 

17 

6240 

44 

.  480693 

509 

707 

.  480892 

.  519108 

293 

.  Ut 
ft7 

.  999S01 

16 

6300 

45 

.  484848 

507 

710 

.  485050 

.  514950 

290 

«.Ui 
f\f 

.  999797 

15 

6360 

46 

.  488963 

500 

713 

.  489170 

.  510830 

287 

.  UO 

.  999794 

14 

6420 

47 

.  493040 

505 

715 

.  493250 

.  506750 

2S5 

.  07 

O7 

.  999790 

13 

6480 

48 

.  497078 

503 

718 

.  497293 

.  502707 

282 

.  U/ 

H7 

.  9997£0 

12 

6540 

49 

.  501080 

502 

720 

.  501298 

.  498702 

280 

.  U* 

fV7 

.  999782 

11 

6600 

50 

.505045 

501 

723 

.  505267 

.  494733 

277 

.  Of 

.  999778 

10 

6660 

51 

8.  508974 

499 

726 

8.509200 

11.  490800 

274 

.07 
no 

9.  999774 

9 

6720 

52 

.  512867 

498 

729 

.513098 

.  486902 

271 

.  Uo 

(Y7 

.  999769 

8 

6780 

53 

.  516726 

497 

731 

.  516961 

.  4S3039 

269 

,  \)i 
fi7 

.  999705 

7 

6840 

54 

.  520551 

495 

734 

.  520790 

.  479210 

266 

.  U/ 

A7 

.  999761 

6 

6900 

55 

.  524343 

494 

737 

.  524586 

.475414 

263 

.  U/ 
f\7 

.  999757 

5 

6960 

56 

.  528102 

492 

740 

.  528349 

.  471651 

200 

.  Ui 

no 

.  999753 

4 

7020 

57 

.  531828 

491 

743 

.  5320SO 

.  467920 

257 

.  Uo 

A7 

.  999748 

3 

7080 

58 

.  535523 

490 

745 

.  535779 

.  464221 

255 

.  Oi 
H7 

.  999744 

2 

7140 

59 

.  539186 

488 

748 

.  539447 

.  460553 

252 

.  U/ 

f\Q 

.  999740 

1 

7200 

60 

8.  542819 

487 

751 

8.  543084 

11.  456916 

249 

•  Uo 

9.  999735 

0 

4.685 

15.  314 

" 

' 

Cosine. 

|  Cotang. 

Tang. 

D.I". 

Sine. 

' 

91' 


88° 


128 


TANGENTS,  AND  COTANGENTS. 


177* 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

8.542819 
.  546422 

60.05 

en  ee 

9.  999735 
.  999731 

.07 

no 

8.543084 
.  546691 

60.  12 

11.456916 
.  453309 

60 
59 

2 
3 
4 
5 
6 
7 
8 
9 
10 

.  549995 
.  553539 
.  557054 
.  560540 
.  563999 
.567431 
.  570836 
.  574214 
.  577566 

oy.  oo 
59.07 
58.58 
58.10 
57.65 
57.20 
56.75 
56.  30 
55.87 
55.43 

.999726 
.  999722 
.  999717 
.  999713 
.  999708 
.999704 
.999699 
.  999694 
.  999689 

*  Uo 

.07 
.08 
.07 
.08 
.07 
.08 
.08 
.08 
.07 

.550268 
.  553817 
.  557336 
.560828 
.564291 
.567727 
.571137 
.  574520 
.  577877 

59^15 
58.65 
58.20 
57.72 
57.27 
56.83 
56.38 
55.95 
55.52 

.  449732 
.446183 
.442664 
.  439172 
.435709 
.432273 
.428863 
.425480 
.422123 

58 
57 
56 
55 
54 
53 
52 
51 
50 

11 

8.  580892 

9.  999685 

no 

8.  581208 

11.418792 

49 

12 
13 

.  584193 

.587469 

54^60 

e*  on 

.  999680 
.  999675 

•  Uo 

.08 

no 

.  584514 
.  587795 

55.  10 
54.68 

.415486 
.412205 

48 
47 

14 
15 
16 
17 
18 
19 

.  590721 
.  593948 
.  597152 
.600332 
.  603489 
.606623 

53^78 
53.40 
53.00 
52.62 
52.23 

K1  CK 

.999670 
.999665 
.  999660 
.999655 
.999650 
.999645 

.  Uo 

.08 
.08 
.08 
.08 
.08 

f\Q 

.591051 
.  594283 
.597492 
.600677 
.603839 
.606978 

53^87 
53.48 
53.08 
52.70 
52.32 

.408949 
.405717 
.  402508 
.399323 
.396161 
.  393022 

46 
45 
44 
43 
42 
41 

20 

.609734 

51.  oo 
51.48 

.999640 

.Uo 
.08 

.610094 

51.93 
51.58 

.389906 

40 

21 
22 
23 
24 

8.612823 
.615891 
.  618937 
.621962 

51.13 
50.77 
50.42 

cn  nc 

9.999635 
.  999629 
.  999624 
.999619 

.10 
.08 
.08 

no 

8.613189 
.616262 
.  619313 
.622343 

51.22 
50.85 
50.50 

cn  -I  e 

11.386811 
.383738 

.  380687 
.377657 

39 
38 
37 
36 

25 
26 
27 
28 
29 
30 

.  624965 
.627948 
.630911 
.633854 
.  636776 
.639680 

OU.  UO 

49.72 
49.38 
49.05 
48.70 
48.40 
48.05 

.999614 
.999608 
.999603 
.999597 
.999592 
.999586 

•  Uo 

.10 

.08 
.10 
.08 
.10 
.08 

.  625352 
.628340 
.  631308 
.634256 
.637184 
.640093 

OU.  lO 

49.80 
49.47 
49.13 
48.80 
48.48 
48.15 

.  374648 
.  371660 
.368692 
.365744 
.362816 
.  359907 

35 
34 
33 
32 
31 
30 

31 
32 
33 
34 

8.  642563 
.645428 
.648274 
.  651102 

47.75 
47.43 
47.13 

Af>   OO 

9.999581 
.999575 
.999570 
.999564 

.10 
.08 
.10 
in 

8.642982 
.645853 
.648704 
.  651537 

47.85 
47.52 
47.22 

Af\  QO 

11.  357018 
.354147 
.  351296 
.348463 

29 

28 
27 
26 

35 
36 
37 
38 
39 
40 

.653911 
.656702 
.  659475 
.  662230 
.664968 
.667689 

40.  o& 

46.52 
46.22 
45.92 
45.63 
45.35 
45.07 

.999558 
.999553 
.  999547 
.999541 
.999535 
.999529 

•  1U 
.08 
.10 
.10 
.10 
.10 
.08 

.654352 
.  657149 
.  659928 
.662689 
.665433 
.668160 

40-  VA 

46.62 
46.32 
46-02 
45.73 
45.45 
45.17 

.345648 
.342851 
.  340072 
.337311 
.334567 
.331840 

25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 

8.  670393 
.673080 
.675751 
.678405 
.681043 
.683665 
.  686272 
.688863 
.  691438 
.693998 

44.78 
44.52 
44.23 
43.97 
43.70 
43.45 
43.18 
42.92 
42.67 
42.42 

9.999524 
.999518 
.999512 
.999506 
.999500 
.999493 
.  999487 
.999481 
.999475 
.999489 

.10 
.10 
.10 
.10 
.12 
.10 
.10 
.10 
.10 
.10 

8.670870 
.673563 
.676239 
.678900 
.681544 
.684172 
.686784 
.  689381 
.  691963 
.  694529 

44.88 
44.60 
44.35 
44.07 
43.80 
43.53 
43.28 
43.03 
42.77 
42.53 

11.329130 
.326437 
.323761 
.321100 
.318456 
.315828 
.313216 
.  310619 
.308037 
.  305471 

19 
18 
17 
16 
15 
14 
13 
12 
11 
10 

51 
52 

8.  696543 
.699073 

42.17 

A]  QO 

9.999463 
.  999456 

.12 
in 

8.  697081 
.699617 

42.27 

AO  O.Q 

11.302919 
.  300383 

9 

8 

53 
54 
55 

.  701589 
.704090 
.706577 

41.  yo 

41.68 
41.45 

jl  on 

.999450 
.999443 
.999437 

•  1U 

.12 
.10 
in 

.702139 
.704646 
.  707140 

4Z.  Uo 

41.78 
41.57 
41  *"tO 

.  297861 
.295354 
.  292860 

7 
6 
5 

56 
57 
58 
59 
60 

.709049 
.711507 
.  713952 
.  716383 
8.  718800 

41.  ^U 

40.97 
40.75 
40.52 
40.28 

.  999431 
.  999424 
.999418 
.999411 
9.999404 

•  1U 

.12 
.10 
.12 
.12 

.709618 
.  712083 
.  714534 
.  716972 
8.  719396 

41.'  08 
40.85 
40.63 
40.40 

.  290382 
.287917 
.285466 
.  283028 
11.  280604 

4 
3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

92' 


87' 


41479—10 9 


129 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


176e 


' 

Sine. 

D.I". 

Cosine. 

D.  1" 

Tang.  |  D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 

8.  718800 
.  721204 
.  723595 
.725972 
.  728337 

40.07 
39.85 
39.  62 
39.42 

on  i  o 

9.999404 
.999398 
.  999391 
.999384 
.999378 

.10  i 
.12 
.12  j 
.10  i 

10 

8.719396 

.  721806 
.  724204 
.726588 
.  728959 

40.17 
39.97 
39.  73 
39.52 

QQ  Of\ 

11.280604 
.278194 
.275796 
.273412 
.271041 

60 
59 
58 
57 
56 

5 

.730688 

O»7.  lO 

00  nc 

.999371 

•  1  *- 
10 

.731317 

O»7.  OU 
Of  \   I  f\ 

.2686S3 

55 

6 

.  733027 

oo.  y» 

OD  70 

.  999304 

•  I  - 

12 

.  733WJ3 

oy.  1U 

OO  CO 

.266337 

54 

7 

.735354 

Oo.  ^0 
00   CC 

.  999357 

10 

.  735996 

OO.  OO 

00   f»Q 

.264004 

53 

8 
9 

.  737  (167 
.  739969 

00.  OO 

38.37 

oo  i  7 

.999350 
.999343 

•  J  - 
.12  : 

1  9 

.738317 
.740626 

Oo.  Do 

38.48 

00   O7 

.261683 
.259374 

52 
51 

10 

.742259 

Oo.  i  / 

37.95 

.999336 

•  !  - 

.12 

.  742922 

Oo.  6t 

38.08 

.257078 

50 

11 
12 
13 
14 
15 
16 
17 
18 

8.  744536 
.  746802 
.  749055 
.  751297 
.753528 
.  755747 
.757955 
.760151 

37.77 

37.  55 
37.37 
37.18 
36.98  ' 
36.80 
36.60 

Ot'   ,10 

9.999329 
.  999322 
.  999315 
.  999308 
.999301 
.999294 
.999287 
.999279 

.12 
.12 
.12 
.12 
.12 
.12 
.13 
12 

8.  745207 
.  747479 
.749740 
.  751989 
.  754227 
.756453 
.758668 
.  760872 

37.87 
37.68 
37.48 
37.30 
37.10 
36.92 
36.73 

QJ:  cc 

11.254793 
.252521 
.2502(iO 
.248011 
.  245773 
.243547 
.241332 
.239128 

49 
48 
47 
46 
45 
44 
43 
42 

19 

.762337 

oO.  rlo 

.999272 

.763065 

oO.  OO 

.236935 

41 

20 

.764511 

36.23 
36.07 

.999265 

.  12 
.13 

.  765246 

36.  35 
36.18 

.234754 

40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

8.  766675 
.  768828 
.  770970 
.  773101 
.775223 
.  777333 
.779434 
.  781524 
.783605 
.  785675 

35.88 
35.70 
35.52 
35.37 
35.17 
35.02 
34.83 
34.68 
34.50 
84.35 

9.999257 
.999250 
.999242 
.999235 
.  999227 
.999220 
.999212 
.999205 
.999197 
.999189 

.12 
.13 
.12 
.13 
.12 
.13 
.12 
.13 
.13 
.13 

8.767417 
.  769578 
.771727 
.  773866 
.  775995 
.778114 
.  780222 
.  782320 
.  784408 
.786486 

36.  02 
35.82 
35.65 
35.48 
35.32 
35.13 
34.97 
34.80 
34.63 
34.47 

11.232583 
.  230422 
.  228273 
.226134 
.224005 
.221886 
.219778 
.217680 
.215592 
.213514 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 

32 
33 

8.  787736 
.789787 
.  791828 

34.18 
34.02 

9.999181 
.999174 
.  999166 

.12 
.13 

f  0 

8.  788554 
.790613 
.  792662 

34.32 
34.15 

oo  no 

11.211446 

.209387 
.207338 

29 
28 
27 

34 
35 
36 

.  793859 
.795881 
.  797894 

33.  85 
33.70 
33.55 

00   00 

.999158 
.999150 
.999142 

.id 

.13 
.13 

•10 

.  794701 
.  796731 
.  798752 

BO.  y» 
33.83 
33.68 

QQ   CO 

.205299 
.  2032G9 
.201248 

26 
25 
24 

37 

.799897 

OO.  Oo 

.999134 

•  lo 

10 

.800763 

oo.  0^ 

on  07 

.  199237 

23 

38 
39 

.801892 
.803876 

33.  25 

33.07 
oo  no 

.999126 
.999118 

•  lo 

.13 

1  Q 

.802765 
.804758 

OO.  Of 

33.22 

OO  A  7 

.  197235 
.195242 

22 
21 

40 

.805852 

62,.  V6 
32.78 

.999110 

•  lo 

.13 

.806742 

oo.  U/ 

32.  92 

.  193258 

20 

41 
42 

8.807819 
.809777 

32.63 

oo  AQ 

9.999102 
.999094 

.13 

1  °. 

8.808717 
.  810683 

32.77 

39  A9. 

11.191283 
.189317 

19 
18 

43 
44 
45 
46 
47 
48 
49 
50 

.811726 
.813667 
.815599 
.817522 
.  819436 
.821343 
.  823240 
.825130 

oZ.  4o 

32.35 
32.20 
32.05 
31.90 
31.78 
31.62 
31.50 
31.35 

.999086 
.999077 
.999069 
.999061 
.  999053 
.999044 
.999036 
.999027 

-  lo 

.15 
.13 
.13 
.13 
.15 
.13 
.15 
.13 

.  812641 
.  814589 
.816529 
.818461 
.820384 
.  822298 
.824205 
.826103 

J.  Do 

32.  47 
32.33 
32.20 
32.05 
31.90 
31.78 
31.63 
31.48 

.  187359 
.185411 
.  183471 
.181539 
.179616 
.177702 
.  175795 
.  173897 

17 
16 
15 
14 
13 
12 
11 
10 

51 

8.827011 

01  oo 

9.999019 

1  £ 

8.  827992 

01   Q7 

11.172008 

9 

52 

.828884 

31.  && 

.999010 

.  lo 

.  829874 

ol.  of 
01  Ol 

.  170126 

8 

53 
64 
65 

.  830749 
.  832607 
.  834456 

31.  08 
30.97 
30.82 

gn  KQ 

.999002 
.998993 
.998984 

.  13 
.15 
.15 

1  Q 

.  831748 
.833613 
.  835471 

Ol.  ^0 

31.08 
30.97 

or\  oo 

.168252 
.166387 
.  164529 

7 
6 
5 

66 
57 
68 
59 
60 

.  836297 
.838130 
.  839956 
.841774 
8.843585 

60.  oo 
30.55 
30.43 
30.30 
30.18 

.998976 
.998967 
.998958 
.998950 
9.998941 

*  lo 

.15 
.15 
.13 
.15 

.  837321 
.839163 
.840998 
.  842825 
8.  844644 

oU.  oO 

30.70 
30.58 
30.45 
30.32 

.  162679 
.  160837 
.  159002 
.  157175 
11.155356 

4 
3 
2 

0 

' 

Cosine. 

D.  1". 

Cine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

/ 

80' 


130 


TANGENTS,  AND  COTANGENTS. 


175' 


' 

Sine. 

D.  1". 

Cosine. 

D.I". 

Tang. 

D.I". 

Cotang. 

' 

0 

1 

2 

3 
4 
5 
6 
7 
8 
9 
10 

8.  843585 
.  845387 
.  8471S3 
.  848971 
.  850751 
.  852525 
.  854291 
.  856049 
.857801 
.  859546 
.  861283 

30.03 
29.93 
29.80 
29.67 
29.57 
29.43 
29.30 
29.  20 
29.08 
28.95 
28.85 

9.  998941 
.  998932 
.  998923 
.  998914 
.998905 
.  998896 
.  998887 
.  998878 
.998869 
.998860 
.998851 

.15 
.15 
.15 
.15 
.15 
.15 
.15 
.15 
.15 
.15 
.17 

8.844644 
.  846455 
.  848260 
.850057 
.  851846 
.  853628 
.  855403 
.  857171 
.  858932 
.860686 
.  862433 

30.18 
30.08 
29.95 
29.82 
29.70 
29.58 
29.47 
29.35 
29.23 
29.12 
29.00 

11.  155356 
.  153545 
.  151740 
.  149943 
.  148154 
.  146372 
.144597 
.  142829 
.  141068 
.  139314 
.  137567 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 

8.  863014 
.  864738 
.  866455 
.  868165 

28.73 
28.62 
28.50 

9.  998841 
.  998832 
.  998823 
.  998813 

.15 
.15 
.17 

8.  864173 
.865906 
.  867632 
.  869351 

28.88 
28.77 
28.65 

11.  135827 
.  134094 
.  132368 
.  130649 

49 

48 
47 
46 

15 
16 
17 

18 
19 
20 

.  869868 
.  871565 
.  873255 
.  874938 
.  876615 
.  878285 

28.28 
28.17 
28.05 
27.95 
27.83 
27.73 

.  998804 
.  998795 
.  998785 
.  998776 
.  998766 
.  998757 

.15 

.17 
.15 
.17 
.15 
.17 

.871064 
.  872770 
.  874469 
.  876162 
.  877849 
.  879529 

28.43 
28.32 
28.22 
28.12 
28.00 
27.88 

.  128936 
.  127230 
.  125531 
.  123838 
.  122151 
.  120471 

45 
44 
43 
42 
41 
40 

21 
22 

8.  879949 
.  881607 

27.63 

9.  998747 
.  998738 

.15 

8.  881202 
.  882869 

27.78 

11.  118798 
.  117131 

39 
38 

23 
24 
25 
26 

27 
28 
29 
30 

.  883258 
.  884903 
.886542 
.  888174 
.  889801 
.  891421 
.  893035 
.  894643 

27.42 
27.32 
27.20 
27.12 
27.00 
26.90 
26.80 
26.72 

.  998728 
.  998718 
.  998708 
.  998699 
.998689 
.  998679 
.  998669 
.  998659 

.17 
.17 
.15 
.17 
.17 
.17 
.17 
.17 

.  884530 
.  886185 
.  887833 
.  889476 
.891112 
.  892742 
.  894366 
.  895984 

27.58 
27.47 
27.38 
27.27 
27.17 
27.07 
26.97 
26.87 

.  115470 
.  113815 
.  112167 
.  110524 
.  108888 
.  107258 
.  105634 
.  104016 

37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 

8.  896246 
.  897842 
.  899432 
.  901017 
.  902596 

26.60 
26.50 
26.42 
26.32 

9.  998649 
.  998639 
.  998629 
.  998619 
.998609 

.17 
.17 
.17 
.17 

8.  897596 
.  899203 
.900803 
.  902398 
.  903987 

26.78 
26.67 
26.58 

26.48 

11.  102404 
.  100797 
.  099197 
.097602 
.096013 

29 

28 
27 
26 
25 

36 
37 
38 
39 
40 

.  904169 
.  905736 
.  907297 
.908853 
.  910404 

26.12 
26.02 
25.93 
25.85 
25.75 

.  998599 
.  998589 
.  998578 
.  998568 
.  998558 

.17 
.18 
.17 
.17 
.17 

.  905570 
.  907147 
.  908719 
.  910285 
.  911846 

26.28 
26.20 
26.10 
26.02 
25.92 

.  094430 
.092853 
.  091281 
.  089715 
.  088154 

24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 

8.911949 
.  913488 
.  915022 
.  916550 
.  918073 
.  919591 
.  921103 
.  922610 
.  924112 
.  925609 

25.65 
25.57 
25.47 
25.38 
25.30 
25.20 
25.12 
25.03 
24.95 
24.85 

9.  998548 
.  998537 
.  998527 
.  998516 
.  998506 
.  998495 
.  998485 
.  998474 
.  998464 
.  998453 

.18 
.17 
.18 
.17 

.18 
.17 
.18 
.17 
.18 
.18 

8.  913401 
.  914951 
.  916495 
.  918034 
.  919568 
.921096 
.  322619 
.  924136 
.  925649 
.  927156 

25.83 
25.73 
25.63 
25.57 
25.47 
25.38 
25.28 
25.22 
25.12 
25.03 

11.  086599 
.  085049 
.083505 
.  081966 
.  080432 
.  078904 
.  077381 
.  075864 
.  074351 
.  072844 

19 
18 
17 
16 
15 
14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

8.  927100 
.  928587 
.  9300G8 
.  931544 
.  933015 
.  934481 
.  935942 
.  937398 
.  938850 
8.  940296 

24.78 
24.68 
24.60 
24.52 
24.43 
24.35 
24.27 
24.20 
24.10 

9.  998442 
.  998431 
.  998421 
.  998410 
.  998399 
.  998388 
.  998377 
.  998366 
.  998355 
9.  998344 

.18 
.17 
.18 
.18 
.18 
.18 
.18 
.18 
.18 

8.  928658 
.  930155 
.  931647 
.  933134 
.  934616 
.  936093 
.  937565 
.  939032 
.  940494 
8.  941952 

24.95 
24.87 
24.78 
24.70 
24.62 
24.  53 
24.45 
24.37 
24.30 

11.071342 

.  069845 
.068353 
.  066866 
.  065384 
.063907 
.  062435 
.060968 
.  059506 
11.  058048 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

D.I". 

Sine. 

D.I". 

Cotang. 

D.I". 

Tang. 

' 

94 c 


85s 


131 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


174° 


' 

Sine. 

D.I". 

Cosine. 

D.I" 

Tang. 

D.I". 

Cotang. 

' 

0 

1 

2 
3 

8.  940296 
.941738 
.943174 
.944606 

24.03 
23.  93 
23.87 

9.  998344 
.  998333 
.  998322 
.  998311 

.18 
.18 
.18 

8.941952 
.943404 
.944852 
.946295 

24.20 
24.13 
24.05 

11.058048 
.  056596 
.055148 
.  053705 

60 
59 
58 
57 

4 
5 

.946034 
.947456 

23.70 

.  998300 
.998289 

.18 

.947734 
.949168 

23.90 

.0522C6 
.050832 

56 
55 

6 
7 
8 
9 
10 

.  948874 
.950287 
.951696 
.953100 
.954499 

23.55 
23.48 
23.40 
23.32 
23.25 

.998277 
.998266 
.  998255 
.998243 
.  998232 

.18 
.18 
.20 
.18 
.20 

.950597 
.  952021 
.953441 
.  954856 
.956267 

23.73 
23.  67 
23.58 
23.52 
23.45 

.  049403 
.047979 
.046.559 
.045144 
.043733 

54 
53 
52 
51 
50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

8.955894 
.957284 
.958670 
.960052 
.961429 
.  962801 
.964170 
.965534 
.966893 
.968249 

23.17 
23.10 
23.03 
22.95 
22.  87 
22.82 
22.73 
22.65 
22.60 
22.52 

9.  998220 
.998209 
.998197 
.  998186 
.998174 
.998163 
.998151 
.998139 
.998128 
.998116 

.18 
.20 
.18 
.20 
.18 
.20 
.20 
.18 
.20 
.20 

8.957674 
.959075 
.960473 
.961866 
.963255 
.964639 
.966019 
.  967394 
.968766 
.970133 

23.35 
23.30 
23.22 
23.15 
23.07 
23.00 
22.92 
22.87 
22.78 
22.72 

11.042326 
.040925 
.039527 
.038134 
.036745 
.035361 
.033981 
.032606 
.031234 
.029867 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

8.  969600 
.970947 
.972289 
.973628 
.974962 
.976293 
.977619 
.978941 
.980259 
.981573 

22.45 
22.37 
22.32 
22.23 
22.18 
22.10 
22.03 
21.97 
21.90 
21.83 

9.998104 
.998092 
.998080 
.998068 
.998056 
.998044 
.998032 
.998020 
.  998008 
.997996 

.20 
.20 
.20 
.20 
.20 
.20 
.20 
.20 
.20 
.20 

8.971496 
.972855 
.974209 
.975560 
.  976906 
.978248 
.979586 
.980921 
.982251 
.983577 

22.65 
22.57 
22.  52 
22.43 
22.  37 
22.30 
22.25 
22.17 
22.10 
22.03 

11.028504 
.027145 
.025791 
.024440 
.023094 
.021752 
.020414 
.019079 
.017749 
.016423 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 

8.  982883 
.984189 
.  985491 
.986789 

21.77 
21.72 
21.63 

9.997984 
.997972 
.997959 
.997947 

.20 
.22 
.20 

8.984899 
.986217 
.987532 
.988842 

21.97 
21.92 
21.83 

11.015101 
.  013783 
.012468 
.011158 

29 
28 
27 
26 

35 
36 
37 

.  988083 
.989374 
.  990660 

21.52 
21.43 

.997935 
.997922 
.997910 

.22 
.20 
oo 

.990149 
.991451 
.992750 

21.70 
21.65 

.009851 
.008549 
.007250 

25 
24 
23 

38 
39 

.991943 
.993222 

21.32 

.997897 
.997885 

.20 

.994045 
.995337 

21.53 

.005955 
.004663 

22 
21 

40 

.994497 

21.18 

.997872 

.  996624 

21.40 

.003376 

20 

41 

42 
43 
44 
45 

8.995768 
.  997036 
.998299 
8.  999560 
9.000816 

21.13 

21.05 
21.02 
20.93 

9.997860 
.997847 
.997835 
.  997822 
.997809 

.22 
.20 
.22 

.22 

8.997908 
8.999188 
9.  000465 
.001738 
.003007 

21.33 
21.28 
21.22 
21.15 

11.002092 
11.000812 
10.  999535 
.998262 
.996993 

19 
18 
17 
16 
15 

46 
47 

48 
49 
50 

.002069 
.003318 
.004563 
.005805 
.007044 

20.82 
20.75 
20.70 
20.65 
20.57 

.997797 
.997784 
.997771 
.997758 
.997745 

.22 
.22 
.22 
.22 
.22 

.004272 
.  005534 
.  006792 
.008047 
.009298 

21.03 
20.97 
20.92 
20.85 
20.80 

.995728 
.994466 
.993208 
.991953 
.990702 

14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

9.  008278 
.009510 
.010737 
.011962 
.013182 
.014400 
.015613 
.016824 
.018031 
9.019235 

20.53 
20.45 
20.42 
20.33 
20.30 
20.22 
20.18 
20.12 
20.07 

9.997732 
.997719 
.997706 
.997693 
.997680 
.997667 
.  997654 
.997641 
.997628 
9.997614 

.22 
.22 
.22 
.22 
.22 
.22 
.22 
.22 
.23 

9.010546 
.011790 
.013031 
.  014268 
.015502 
.016732 
.017959 
.019183 
.020403 
9.021620 

20.73 
20.68 
20.62 
20.57 
20.50 
20.45 
20.40 
20.33 
20.28 

10.  989454 
.988210 
.  986969 
.985732 
.984498 
.  983268 
.  982041 
.980817 
.979597 
10.  978380 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

D.I" 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

95C 


84C 


132 


TANGENTS,  AND  COTANGENTS. 


173° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

9.  019235 
.  020435 

20.00 

1  Q  Q-^ 

9.  997614 
.  997601 

.22 
oo 

9.  021620 
.  022834 

20.  23 
on  i  v 

10.  978380 
.  977166 

60 
59 

2 
3 

.  021632 
.  022825 

iy.  yo 

19.88 

1  Q  ft^ 

.  997588 
.  997574 

.  ZZ 
.23 

OO 

.  024044 
.  025251 

Z(J.  1  t 
20.12 
on  n7 

.  975956 
.  974749 

58 
57 

4 
5 
6 
7 
8 
9 
10 

.  024016 
.  025203 
.  026386 
.  027567 
.  028744 
.  029918 
.  031089 

iy.  so 
19.78 
19.72 
19.68 
19.62 
19.  57 
19.  52 
19.47 

.  997561 
.  997547 
.  997534 
.  997520 
.  997507 
.  997493 
.  997480 

.  zz 
.23 
.22 
.23 
.22 
.23 
.22 
.23 

.  026455 
.  027655 
.  02S852 
.  030046 
.  031237 
.  032425 
.  033609 

ZO.  Ot 
20.00 
19.95 
19.90 
19.  85 
19.80 
19.73 
19.70 

.  973545 
.  972345 
.971148 
.  969954 
.968763 
.  967575 
.  966391 

56 
55 
54 
53 
52 
51 
50 

11 

9.  032257 

19  40 

9.  997466 

383 

9.  034791 

1  Q  fd 

10.  985209 

49 

12 
13 
14 
15 
16 
17 
18 
19 
20 

.  033421 
.  034582 
.  035741 
.  036896 
.  038048 
.  039197 
.  040342 
.  041485 
.  042625 

19^35 
19.32 
19.  25 
19.20 
19.15 
19.  08 
19.05 
19.00 
18.95 

.  997452 
.  997439 
.  997425 
.  997411 
.  997397 
.  997383 
.  997369 
.  997355 
.  997341 

.  Zo 
.22 
.23 
.23 
.23 
.23 
.23 
.23 
.23 
.23 

.  035969 
.  037144 
.  038316 
.  039485 
.  040651 
.  041813 
.  042973 
.  044130 
.  045284 

iy.  0*3 
19.58 
19.53 
19.48 
19.43 
19.  37 
19.33 
19.28 
19.23 
19.17 

.  964031 
.  962856 
.  961684 
.  960515 
.  959349 
.  958187 
.  957027 
.  955870 
.  954716 

48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 

9.  043762 
.  044895 
.  046026 
.  047154 

18.88 
18.85 
18.80 

1  Q  7£ 

9.  997327 
.  997313 
.  997299 
.  997285 

.23 
.23 
.23 

rto 

9.  046434 

.  047582 
.  048727 
.  049869 

19.13 
19.08 
19.03 

10.  953566 
.  952418 
.  951273 
.  950131 

39 
38 
37 
36 

25 

.  048279 

lo.  /O 

I  Q  fiQ 

.997271 

-  _  •  » 
OQ 

.  051008 

18.  98 

1  O  QQ 

.  948992 

35 

26 
27 

.  049400 
.  050519 

lo.  Da 

18.65 

10  f'A 

.  997257 
.  997242 

.  Zo 

.25 

OQ 

.  052144 
.  053277 

lo.  yo 
18.88 

1  Q  QQ 

.  947856 
.  946723 

34 
33 

28 
29 
30 

.  051635 
.  052749 
.  053859 

lo.  OU 

18.  57 
18.50 
18.45 

.  997228 
.  997214 
.  997199 

*  Zo 

.23 
.25 
.23 

.  054407 
.  055535 
.  056659 

lo.  OO 

18.80 
18.73 
18.70 

.  945593 
.  944465 
.  943341 

32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  054966 
.  056071 
.  057172 
.  058271 
.  059367 
.  060460 
.  061551 
.  062639 
.  063724 
.  064806 

18.42 
18.35 
18.32 
18.27 
18.22 
18.  18 
18.13 
18.08 
18.  03 
17.98 

9.  997185 
.  997170 
.  997156 
.  997141 
.  997127 
.997112 
.  997098 
.  997083 
.  997068 
.  997053 

.25 
.'23 

.25 
.23 
.25 
.23 
.25 
.25 
.25 
.23 

9.  057781 
.  058900 
.  060016 
.061130 
.  062240 
.  063348 
.  064453 
.  065556 
.  066655 
.  067752 

18.65 
18.  (50 
18.57 
18.50 
18.47 
18.42 
18.38 
18.32 
18.28 
18.25 

10.  942219 
.  941100 
.  939984 
.  938870 
.  937760 
.  936652 
.  935547 
'  .934444 
.  933345 
.  932248 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 

9.065885 
.066962 
.  068036 
.  OS9107 

17.  95 
17.90 
17.85 

1  7  QO 

9.  997039 
.  997024 
.997009 

.  996994 

.25 
.25 
.25 

9.  068846 
.  069938 
.  071027 
.072113 

.18.  20 
18.15 
18.10 

10.  931154 
.  930062 
.  928973 

.  927887 

19 
18 
17 
16 

45 
46 
47 

48 

.  070176 
.  071242 
.  072306 
.  073366 

I/-  &Z 

17.77 
17.73 
17.67 

1  7  ftQ 

.  996979 
.  996964 
.  996949 
.  996934 

.  25 
.25 
.25 
.25 

or 

.  073197 
.  074278 
.  075356 
.  076432 

18.  07 
18.02 
17.97 
17.93 

.  926803 
.  925722 
.  924644 
.  923568 

15 
14 
13 
12 

49 
50 

.  074424 
.  075480 

1  /.  uo 

17.60 
17.55 

.  996919 
.  996904 

•  j&D 

.25 
.25 

.  077505 
.  078576 

17.  88 
17.85 
17.80 

.  922495 
.  921424 

11 
10 

51 
52 
53 
54 
55 
56 
57 
58 

9.  076533 
.  077583 
.  078631 
.  079676 
.  080719 
.  081759 
.  082797 
.083832 

17.50 
17.47 
17.42 
17.38 
17.  33 
17.30 
17.  25 

•|  7  nf\ 

9.  996889 
.  996874 
.  996858 
.  996843 
.996828 
.996812 
.  996797 
.  996782 

.25 
.27 
.25 
.27 
.27 
.25 
.25 

9.  079644 
.080710 
.  081773 
.  082833 
.  083891 
.  084947 
.  086000 
.  087050 

17.77 

17.72 
17.  67 
17.63 
17.60 
17.55 
17.50 

10.  920356 
.  919290 
.  918227 
.  917167 
.  916109 
.  915053 
.914000 
.  912950 

9 
8 
7 
6 
5 
4 
3 
2 

59 
60 

.  084864 
9.  085894 

1  /  .  Z\) 

17.17 

.  996766 
9.  996751 

.27 
.25 

.  088098 
9.089144 

17.  47 
17.43 

.911902 
10.  910856 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Co  tang. 

D.  1". 

Tang. 

/ 

96° 


83C 


133 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


172' 


J 

Sine. 

D.I". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang.  J  ' 

0 

9.  085894 

9.  996751 

9.089144 

10.910856 

GO 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 

.  086922 
.  087947 
.  088970 
.  089990 
.091008 
.  092024 
.  093037 
.  094047 
.  095056 
.  096062 

17.08 
17.05 
17.00 
16.97 
16.93 
16.88 
16.83 
16.82 
16.77 
16.72 

.  996735 
.  996720 
.  996704 
.  996688 
.  996673 
.  996657 
.  996641 
.  996625 
.  996610 
.  996594 

.25 
.27 
.27 
.25 
.27 
.27 
.27 
.25 
.27 
.27 

.090187 
.091228 
.  092266 
.  093302 
.  094336 
.  095367 
.  096395 
.  097422 
.  098446 
.  099468 

17.35 
17.30 
17.27 
17.23 
17.18 
17.13 
17.12 
17.07 
17.03 
16.98 

.909813 
.  908772 
.  907734 
.  906698 
.  905664 
.  904633 
.  903605 
.  902578 
.  901554 
.900532 

59 
58 
57 
56 
55 
54 
53 
32 
51 
50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.  097065 
.  098066 
.  099065 
.100062 
.  101056 
.  102048 
.  103037 
.  104025 
.  105010 
.  105992 

16.68 
16.65 
16.62 
16.57 
16.53 
16.48 
16.47 
16.42 
16.37 
16.35 

9.  996578 
.  996562 
.  996546 
.  996530 
.  996514 
.  996498 
.  996482 
.  9964(i5 
.  996449 
.  996433 

.27 
.27 
.27 
.27 
.27 
.27 
.28 
.27 
.27 
.27 

9.  100487 
.  101504 
.  102519 
.  103532 
.  104542 
.  105550 
.  106556 
.  107559 
.108560 
.  109559 

16.95 
16.92 
16.88 
16.83 
16.80 
16.77 
16.  72 
16.68 
16.65 
16.62 

10.  899513 
.  898496 
.  897481 
.  896-468 
.  895458 
.  894450 
.  893444 
.  892441 
.  891440 
.890441 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  106973 
.  107951 
.  108927 
.109901 
.  110873 
.  111842 
.  112809 
.113774 
.  114737 
.  115698 

16.30 
16.27 
16.23 
16.20 
16.15 
16.12 
16.08 
16.05 
16.02 
15.97 

9.  996417 
.  996400 
.  996384 
.  996368 
.  996351 
.996335 
.  996318 
.996302 
.  996285 
.  996269 

.28 
.27 
.27 
.28 
.27 
.28 
.27 
.28 
.27 
.28 

9.  110556 
.111551 
.  112543 
.113533 
.  114521 
.  115507 
.  116491 
.  117472 
.  118452 
.  119429 

16.58 
1C).  53 
16.50 
16.47 
16.43 
16.  40 
16.35 
16.33 
16.28 
16.25 

10.  889444 
.888449 
.  887457 
.  886467 
.885479 
.  884493 
.  883509 
.  882528 
.  881548 
.  880571 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  116656 
.  117613 
.  118567 
.119519 
.  120469 
.  121417 
.  122362 
.  123306 
.  124248 
.  125187 

15.95 
15.90 
15.87 
15.83 
15.80 
15.75 
15.73 
15.70 
15.65 
15.63 

9.  996252 
.  996235 
.  996219 
.  996202 
.  996185 
.  996168 
.  996151 
.  996134 
.996117 
.  996100 

.28 
.27 
.28 
.28 
.28 
.28 
.28 
.28 
.28 
.28 

9.  120404 
.121377 
.  122348 
.  123317 
.  124284 
.  125249 
.  126211 
.  127172 
.  128130 
.  129087 

16.22 
16.  18 
16.15 
16.  12 
16  08 
16.03 
16.  02 
15.97 
15.95 
15.90 

10.  8795% 

.  878623 
.  877652 
.  876683 
.  875716 
.  874751 
.  873789 
.  872828 
.  871870 
.  870913 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 

9.  126125 
.  127060 
.  127993 
.  128925 
.  129854 
.  130781 
.  131706 
.  132630 
.  133551 
.  134470 

15.58 
15.  55 
15.53 
15.48 
15.45 
15.42 
15.40 
15.35 
15.32 
15.28 

9.  996083 
.996066 
.  996049 
.  996032 
.  996015 
.  995998 
.  995980 
.  995963 
.  995946 
.  995928 

.28 
.28 
.28 
.28 
.28 
.30 
.28 
.28 
.30 
.28 

9.  130041 
.  130994 
.  131944 
.  132893 
.  133839 
.  134784 
.  135726 
.  136667 
.137605 
.  138542 

15.88 
15.83 
15.82 
15.77 
15.75 
15.70 
15.68 
15.63 
15.62 
15.57 

10.  869959 
.  869006 
.  868056 
.  88^107 
.  866161 
.865216 
.  864274 
.  863333 
.  862395 
.  861458 

19 
18 
17 
16 
15 
14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 

58 
59 
60 

9.  135387 
.  136303 
.  137216 
.  138128 
.  139037 
.  139914 
.  140850 
.  141754 
.  142655 
9.  143555 

15.27 
15.22 
15.20 
15.15 
15.12 
15.10 
15.07 
15.02 
15.00 

9.  995911 
.  995894 
.  995876 
.  995859 
.  995841 
.  995823 
.  995806 
.995788 
.  995771 
9.  995753 

.28 
.30 
.28 
.30 
.30 
.28 
.30 
.28 
.30 

9.  139476 
.  140409 
.  141340 
.  142269 
.  143196 
.144121 
.  145044 
.  145966 
.  146885 
9.  147803 

15.55 
15.52 
15.  48- 
15.45 
15.42 
15.38 
15.37 
15.  32 
15.30 

10.  860524 
.  859591 
.  858660 
.  857731 
.856804 
.  855879 
.  854956 
.  854034 
.853115 
10.  852197 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

D.I". 

Sine. 

D.I". 

Cotang. 

D.I". 

Tang. 

' 

97* 


82' 


134 


TANGENTS,  AND  COTANGENTS. 


171' 


' 

Sine. 

D.I". 

Cosine. 

D.I". 

Tang. 

D.I". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 

9.  143555 
.  144453 
.  145349 
.  146243 
.  147136 
.  148026 
.  148915 
.  149802 
.  150686 
.151569 

14.97 
14.93 
14.90 
14.88 
14.83 
14.  82 
14.78 
14.73 
14.72 

9.  995753 
.  995735 
.  995717 
.  995699 
.  995681 
.  995664 
.  995646 
.  995628 
.  995610 
.  995591 

.30 
.30 
.30 
.30 
.28 
.30 
.30 
.30 
.32 

Ofl 

9.  147803 
.  148718 
.  149632 
.  150544 
.  151454 
.  152363 
.  153269 
.  154174 
.  155077 
.  155978 

15.25 
15.23 
15.20 
15.17 
15.15 
15.10 
15.08 
15.05 
15.02 

UQQ 

10.  852197 
.851282 
.  850368 
.  849456 
.  848546 
.  847637 
.  846731 
.  845826 
.  844923 
.  844022 

60 
59 
58 
57 
66 
55 
54 
53 
52 
51 

10 

.  152451 

14.  70 
14.65 

.  995573 

.  oU 

.30 

.  156877 

.  ys 
14.97 

.  843123 

50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.  153330 
.  154208 
.155083 
.  155957 
.  156830 
.  157700 
.  158569 
.  159435 
.  160301 
.  161164 

14.  63 
14.58 
14.57 
14.55 
14.50 
14.48 
14.43 
14.43 
14.38 
14.35 

9.  995555 
.  995537 
.  995519 
.  995501 
.  995482 
.  995464 
.  995446 
.995427 
.  995409 
.  995390 

.30 
.30 
.30 
.32 
.30 
.30 
.32 
.30 
.32 
.30 

9.  157775 
.  158671 
.  159565 
.  160457 
.  161347 
.  162236 
.  163123 
.164008 
.  164892 
.  165774 

14.93 
14.90 
14.87 
14.83 
14.82 
14.78 
14.75 
14.73 
14.70 
14.67 

10.  842225 
.  841329 
.  840435 
.  839543 
.838653 
.  837764 
.  836877 
.  835992 
.  835108 
.  834226 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  162025 
.  162885 
.  163743 
.  164600 
.  165454 
.  166307 
.  167159 
.  1C8008 
.  168856 
.  169702 

14.33 
14.30 
14.28 
14.  23 
14.22 
14.20 
14.15 
14.13 
14.10 
14.08 

9.  995372 
.  995353 
.  995334 
.995316 
.  995297 
.995278 
.  995260 
.  995241 
.  995222 
.  995203 

.32 
.32 
.30 
.32 
.32 
.30 
.32 
.32 
.32 
.32 

9.  166654 
.  167532 
.  168409 
.  169284 
.  170157 
.  171029 
.  171899 
.  172767 
.  173634 
.  174499 

14.63 
14.  62 
14.58 
14.55 
14.53 
14.50 
14.47 
14.45 
14.42 
14.38 

10.  833346 
.  832468 
.  831591 
.830716 
.  829843 
.  828971 
.  828101 
.827233 
.  826366 
.825501 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 

9.  170547 
.  171389 
.  172230 
.  173070 
.  173908 
.  174744 
.  175578 

14.03 
14.02 
14.00 
13.97 
13.93 
13.90 

1  O  OO 

9.  995184 
.995165 
.  995146 
.995127 
.  995108 
.995089 
.  995070 

.32 
.32 
.32 
.32 
.32 
.32 

00 

9.  175362 
.  176224 
.  177084 
.  177942 
.  178799 
.  179655 
.180508 

14.  37 
14.33 
14.30 
14.28 
14.27 
14.22 

HQrt 

10.  824638 
.823776 
.822916 
.822058 
.  821201 
.  820345 
.  819492 

29 

28 
27 
26 
25 
24 
23 

38 
39 

17R411    io.  oo 

.  1/D411     1Q  CK 

177242 

.  995051 
.  995032 

.  O4 

.32 

Ort 

.  181360 
.182211 

.  £\J 

14.18 

1  A.  1  Q 

.  818640 
.  817789 

22 
21 

40 

'.  178072   Jjj-  |j 

.995013 

*  OA 

.33 

.  183059 

14.  lo 

14.13 

.816941 

20 

41 

9.  178900 

1  Q  77 

9.  994993 

00 

9.  183907 

UriQ 

10.  816093 

19 

42 

.  179726 

lo.  /  / 
1  Q  7£ 

.994974 

•  O£ 

qo 

.  184752 

.  uo 
i  A.  nft 

.815248 

18 

43 

.  180551 

io.  to 

.994955 

•  o£ 

.  185597 

14.  Uo 

.814403 

17 

44 
45 
46 
47 
48 
49 
50 

.  181374 
.  182196 
.  183016 
.  183834 
.  184651 
.  185466 
.  186280 

13.72 
13.70 
13.67 
13.  63 
13.62 
13.58 
13.57 
13.53 

.994935 
.994916 
.994896 
.  994877 
.  994857 
.  994838 
.  994818 

.  33 
.32 
.33 
.32 
.33 
.32 
.33 
.33 

.  186439 
.  187280 
-.188120 
.  188958 
.  189794 
.  190629 
.  191462 

14.  03 
14.02 
14.00 
13.97 
13.93 
13.  92 
13.88 
13.87 

.  813561 
.  812720 
.  811880 
.  811042 
.  810206 
.  809371 
.  808538 

16 
16 
14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

9.  187092 
.  187903 
.  188712 
.  189519 
.  190325 
.  191130 
.  191933 
.  192734 
.  193534 
9.  194332 

13.52 
13.48 
13.45 
13.  43 
13.42 
13.  38 
13.  35 
13.  33 
13.30 

9.  994798 
.  994779 
.994759 
.  994739 
.994720 
.  994700 
.  994680 
.  994660 
.  994640 
9.  994620 

.32 
.33" 
.33 
.32 
.33 
.33 
.33 
.33 
.33 

9.  192294 
.  193124 
.  193953 
.  194780 
.  195606 
.  196430 
.  197253 
.  198074 
.  198S94 
9.  199713 

13.83 
13.82 
13.78 
13.77 
13.73 
13.72 
13.68 
13.67 
13.65 

10.  807706 
.80b876 
.806047 
.  8U5220 
.804394 
.  80b570 
.802747 
.  801926 
.  801106 
10.800287 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

81' 


135 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


170e 


/ 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 

9.194332 
.  195129 
.  195925 
.196719 

13.28 
13.27 
13.23 
i  9  on 

9.  994620 
.  994600 
.  994580 
.  994560 

.33 
.33 
.33 

oo 

9.199713 
.  200529 
.201345 
.202159 

13.60 
13.00 
13.57 

10.800287 
.  799471 
.  798055 
.  797841 

60 
59 

58 
57 

4 
5 

.197511 
.  198302 

1  O.  £\J 

13.18 

19    1  S. 

.  994540 
.  994519 

*  oo 

.35 

00 

.  202971 
.  203782 

13.  53 
13.52 

.  797029 
.796218 

56 
55 

6 
7 
8 
9 

.  199091 
.  199879 
.  200660 
.  201451 

Jo.  1  Q 

13.13 
13.12 
13.08 

i     .  994499 
.  994479 
.  994459 
.  994438 

•  OO 

.33 
.33 
.35 

.  204592 
.  205400 
.  200207 
.207013 

13.  50 
13.47 
13.45 
13.43 

.  795408 
.794600 
.  793793 
.  792987 

54 
53 
52 
51 

10 

.  202234 

13.  05 
13.05 

.994418 

.  33 
.33 

.  207817 

13.40 
13.37 

.792183 

50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.203017 
.  203797 
.  204577 
.  205354 
.206131 
.  20ti906 
.  207679 
.  208452 
.  209222 
.  209992 

13.00 
13.00 
12.95 
12.95 
12.92 
12.88 
12.88 
12.83 
12.83 
12.80 

9.994398 
.  994377 
.  994357 
.  994330 
.994316 
.  994295 
.  994274 
.  994254 
.  994233 
.  994212 

.35 
.33 
.35 
.33 
.35 
.35 
.33 
.35 
.35 
.35 

9.  208619 
.  209420 
.210220 
.211018 
.211815 
.  212011 
.  213405 
.214198 
.214989 
.  215780 

13.35 
13.33 
13.30 
13.28 
13.27 
13.23 
13.22 
13.18 
13.18 
13.13 

10.  791381 
.  790580 
.  789780 
.  788982 
.788185 
.  787389 
.  786595 
.  785802 
.785011 
.  784220 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  210760 
.  211526 
.212291 
.213055 
.213818 
.214579 
.215338 
.216097 
.216854 
.217609 

12.77 
12.75 
12.73 
12.72 
12.68 
12.65 
12.  05 
12.62 
12.58 
12.57 

9.  994191 
.994171 
.  994150 
.994129 
.994108 
.  994087 
.  994006 
.  994045 
.  994024 
.  994003 

.33 
.35 
.35 
.35 
.35 
.35 
.35 
.35 
.35 
.35 

9.216568 
.  217356 
.218142 
.218926 
.219710 
.  220492 
.  221272 
.  222052 
.  222830 
.  223607 

13.13 
13.10 
13.07 
13.07 
13.03 
13.00 
13.00 
12.97 
12.95 
12.92 

10.  783432 
.  782644 
.781858 
.781074 
.  780290 
.  779508 
.  778728 
.  777948 
.777170 
.  776393 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 

9.  218303 

9.  993982 

9.  224382 

10.  775618 

29 

32 
33 
34 
35 
36 
37 
38 
39 
40 

.219116 

.  219808 
.220018 
.221307 
.222115 
.222861 
.  223006 
.224349 
.225092 

12.55 
12.53 
12.50 
12.48 
12.47 
12.43 
12.42 
12.38 
12.38 
12.35 

.  993960 
.  993939 
.  993918 
•993897 
.993875 
.993854 
.  993832 
.993811 
.  993789 

.  37 
.35 
.35 
.35 
.37 
.35 
.37 
.35 
.37 
.35 

.  225156 
.  225929 
.  226700 
.  227471 
.  228239 
.  229007 
.  229773 
.  230539 
.231302 

12.90 
12.88 
12.85 
12.85 
12.80 
12.80 
12.77 
12.77 
12.72 
12.72 

.  774844 
.  774071 
.  773300 
.  772529 
.771761 
.770993 
.  770227 
.  769461 
.  768698 

28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 

0.  225833 
.226573 
.227311 

.228048 
.  228784 
.229518 
.  230252 

12.33 
12.30 
12.28 
12.27 
12.23 
12.23 

9.  993768 
.  993746 
.  993725 
.  993703 
.  993681 
.993660 
.  993038 

.37 
.35 
.37 
.37 
.35 
.37 

9.  232065 
.  232826 
.  233586 
.  234345 
.235103 
.  235859 
.  236614 

12.68 
12.67 
12.65 
12.63 
12.60 
12.58 

10.  767935 
.767174 
.766414 
.  765655 
.  764897 
.764141 
.  763386 

19 
18 
17 
16 
15 
14 
13 

48 
49 
50 

.  230984 
.231715 
.  232444 

12.  20 
12.18 
12.15 
12.13 

.993616 
.  993594 
.  993572 

.  37 
.37 
.37 
.37 

.  237368 
.238120 
.  238872 

12.  57 
12.53 
12.53 
12.50 

.  762032 
.  761880 
.761128 

12 
11 

10 

51 
52 
53 
54 
55 
56 
57 
58 

9.233172 

.  233899 
.  234625 
.  235349 
.  236073 
.  236795 
.237515 
.  238235 

12.12 
12.10 
12.  07 
12.07 
12.03 
12.00 
12.00 

nn*7 

9.  993550 
.  993528 
.  993506 
.  993484 
.  993462 
.  993440 
.  993418 
.  993396 

.37 
.37 
.37 
.37 
.37 
.37 
.37 

9.  239622 
.  240371 
.241118 
.  241865 
.  242010 
.  243354 
.  244097 
.  244839 

12.48 
12.45 
12.45 
12.42 
12.40 
12.38 
12.37 

10.  760378 
.  759629 
.  758882 
.  758135 
.  757390 
.  756640 
.  755903 
.  755101 

9 
8 
7 
6 
5 
4 
3 
2 

59 
60 

.  238953 
9.  239670 

.  97 
11.95 

.  993374 
9.  993351 

.  37 
.38 

.  245579 
9.  240319 

12.  33 
12.33 

.  754421 
10.  753681 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1".  i 

Cotang. 

D.I". 

Tang. 

' 

99° 


80' 


136 


10C 


TANGENTS,  AND  COTANGENTS. 


169C 


' 

Sine. 

D.  1". 

Cosine, 

D.  1". 

Tang. 

D.I". 

Cotang. 

' 

0 

1 

2 

9.239670 
.  240386 
.241101 

11.93 
11.92 

noo 

9.  993351 
.  993329 
.  993307 

37 
.37 

oo 

9.  246319 
.  247057 
.  247794 

12.30 
12.28 
1  9  97 

10.  753681 
.  752943 
.  752206 

60 
59 
58 

3 

4 
5 
6 
7 
8 
9 
10 

.  241814 
.  242526 
.  243237 
.  243947 
.244656 
.  245363 
.  246069 
.  246775 

.  OO 

11.87 
11.85 
11.83 
11.82 
11.78 
11.77 
11.77 
11.72 

.  993284 
.  993262 
.  993240 
.993217 
.  993195 
.  993172 
.  993149 
.  993127 

.  OO 

.37 
.37 
.38 
.37 
.38 
.38 
.37 
.38 

.  248530 
.  249264 
.  249998 
.  250730 
.251461 
.  252191 
.  252920 
.  253648 

12^23 
12.23 
12.20 
12.18 
12.17 
12.15 
12.13 
12.10 

.  751470 
.  750736 
.750002 
.  749270 
.  748539 
.  747809 
.  747080 
.  746352 

57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 
15 
16 
17 

9.  247478 
.  248181 
.248883 
.249583 
.  250282 
.250980 
.  251677 

11.72 
11.70 
11.67 
11.65 
11.63 
11.62 

nAA 

9.  993104 
.  993081 
.  993059 
.  993036 
.  993013 
.  992990 
.  992967 

.38 
.37 
.38 
.38 
.38 
.38 

OQ 

9.  254374 
.  255100 
.255824 
.  256547 
.  257269 
.  257990 
.  258710 

12.10 
12.07 
12.05 
12.03 
12.02 
12.00 

nQO 

10.  745626 
.  744900 
.  744176 
.  743453 
.  742731 
.  742010 
.  741290 

49 
48 
47 
46 
45 
44 
43 

18 

.  252373 

.  OU 

.  992944 

•  00 
OQ 

.  259429 

.    i7O 

.  740571 

42 

19 

.253067 

11.  57 

HK7 

.  922921 

.  OO 
OQ 

.260146 

11.  95 

.  739854 

41 

20 

.  253761 

..  of 

11.53 

.  992898 

.  OO 

.38 

.  260863 

11."  92 

.  739137 

40 

21 

9.  254453 

nco 

9.  992875 

OQ 

9.  261578 

10.  738422 

39 

22 

.255144 

.  -  '_: 

.  992852 

•  OO 
OQ 

.  262292 

11.  90 

.  737708 

38 

23 
24 

.  255834 
.256523 

1L48 

nA7 

.  992829 
.  992806 

.  OO 

.38 

OQ 

.  263005 
.263717 

11.  88 
11.87 

.  736995 
.  736283 

37 
36 

25 

.257211 

.  4/ 

UAK 

.  992783 

.  OO 

.  264428 

11.  85 

Hoo 

.  735572 

35 

26 

257898 

.  30 

UAC\ 

.  992759 

QQ 

.  265138 

.  OO 

.  734862 

34 

27 

.258583 

.  *±£ 

nAO 

.  992736 

.  OO 

OQ 

.  265847 

11.  82 
Ucn 

.  734153 

33 

28 

.  259268 

.  *±Z 

nOQ 

.  992713 

•  OO 
OQ 

.  266555 

.  oU 

U77 

.  733445 

32 

29 
30 

.  259951 
.260633 

.  OO 

11.37 
11.35 

.  992690 
.  992666 

.  OO 

.40 
.38 

.  267261 
.  267967 

.  /  / 

11.77 
11.73 

.  732739 
.  732033 

31 
30 

31 
32 
33 
34 
35 
36 
37 

9.  261314 
.261994 
.262673 
.263351 
.264027 
.264703 
.  265377 

11.33 
11.32 
11.30 
11.27 
11.27 
11.23 
1  1   2S 

9.  992643 
.  992619 
.  992596 
.  992572 
.  992549 
.  992525 
.  992501 

.40 
.38 
.40 
.38 
.40 
.40 

oo 

9.  268671 
.  269375 
.270077 
.  270779 
.271479 
.  272178 
.272876 

11.73 
11.70 
11.70 
11.67 
11.65 
11.63 

10.  731329 
.  730625 
.  729923 
.  729221 
.  728521 
.  727822 
.  727124 

29 
28 
27 
26 
25 
24 
23 

38 
39 
40 

.266051 
.  266723 
.  267395 

1L20 
11.20 
11.17 

.  992478 
.  992454 
.  992430 

.  OO 

.40 
.40 

.40 

.  273573 
.  274269 
.  274964 

11.  62 
11.60 
11.  58 
11.57 

.  726427 
.  725731 
.  725036 

22 
21 
20 

41 

9  268065 

ni  ^ 

9.  992406 

9.  275658 

nKK 

10.  724342 

19 

42 
43 
44 
45 

.  268734 
.  269402 
270069 
.  270735 

.  lo 
11.  13 
11.12 
11.10 

Uf\Q 

.  992382 
.  992359 
.  992335 
.992311 

!38 
.40 
.40 

A{\ 

.  276351 
.  277043 
.277734 

•  .  278424 

.  OO 

11.53 
11.52 
11.50 

nAQ 

.  723649 
.  722957 
.  722266 
.  721576 

18 
17 
16 
15 

46 
47 
48 
49 
50 

.  271400 
.272064 
.  272726 
.273388 
.  274049 

.  UO 

11.07 
11.03 
11.03 
11.02 
10.98 

.  992287 
.  992263 
.  992239 
.  992214 
.  992190 

•  4U 
.40 
.40 
.42 
.40 
.40 

.  279113 
.  279801 
.280488 
.281174 

.281858 

•  4o 
11.47 
11.45 
11.43 
11.40 
11.40 

.  720887 
.  720199 
.  719512 
.  718826 
.  718142 

14 
13 
12 
11 
10 

51 

9.  274708 

-If)    QO 

9.  992166 

40 

9.  282542 

nOQ 

10.  717458 

9 

52 
53 
54 

.275367 
.276025 
.276681 

1U.    *7O 

10.97 
10.93 
in  QQ 

.  992142 
.  992118 
.992093 

.  4U 

.40 

.42 

A(\ 

.  283225 
.283907 
.  284588 

.  OO 

11.37 
11.35 

.716775 
.  716093 
.  715412 

8 
7 
6 

55 
56 

57 
58 
59 
60 

.277337 
.  277991 
.  278645 
.279297 
.  279948 
9.  280599 

J.U.  VM 
10.90 
10.90 
10.87 
10.85 
10.85 

.992069 
.  992044 
.  992020 
.991996 
.  991971 
9.  991947 

.  4U 

.42 

.40 
.40 
.42 
.40 

.  285268 
.  285947 
.  286624 
.  287301 
.  287977 
9.  288652 

11.  33 
11.32 
11.28 
11.28 
11.27 
11.25 

.  714732 
.  714053 
.713376 
.  712699 
.  712023 
10.  711348 

5 
4 
3 
2 
1 
0 

Cosine,    i  D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

100 c 


79' 


137 


11' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


168° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 

9.  280599 
.  281248 
.  281897 
.  282544 
.283190 
.283836 

10.82 
10.82 
10.78 
10.77 
10.77 

9.  991947 
.  991922 
.  991897 
.  991873 
.  991848 
.  991823 

.42 
.42 
.40 
.42 
.42 

9.  288652 
.  289326 
.  289999 
.  290671 
.  291342 
.  292013 

11.23 
11.22 
11.20 
11.18 
11.18 

10.  711348 
.  710674 
.  710001 
.  709329 

.708658 
.  707987 

60 
59 
58 
57 
56 
55 

6 
7 
8 

.  284480 
.285124 
.  285766 

10.73 
10.70 

.  991799 
.  991774 
.  991749 

.42 
.42 

.  292682 
.  293350 
.  294017 

11.13 
11.12 

.  707318 
.706650 
.705983 

54 
53 
52 

9 
10 

.  286408 
.287048 

10.67 
10.67 

.  991724 
.  991699 

.42 
.42 

.  294684 
.  295349 

11.08 
11.07 

.705316 
.  704651 

51 
50 

11 
12 
13 
14 

9.  287688 
.288326 
.288964 
.289600 

10.63 
10.63 
10.60 

9.  991674 
.  991649 
.  991624 
.  991599 

.42 
.42 
.42 

9.296013 
.  296677 
.  297339 
.  298001 

11.07 
11.03 
11.03 

10.  703987 
.  703323 
.  702661 
.  701999 

49 
48 
47 
46 

15 
16 
17 
18 
19 
20 

.  290236 
.290870 
.  291504 
.  292137 
.  292768 
.  293399 

10.57 
10.57 
10.55 
10.52 
10.52 
10.50 

.  991574 
.  991549 
.  991524 
.  991498 
.  991473 
.  991448 

.42 
.42 
.43 
.42 
.42 
.43 

.  298662 
.  299322 
.  299980 
.  300638 
.  301295 
.  301951 

11.00 
10.97 
10.97 
10.95 
10.93 
10.93 

.  701338 
.700678 
.700020 
.  699362 
.  698705 
.  698049 

45 
44 
43 
42 

41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  294029 
.  294658 
.  295286 
.  295913 
.  296539 
.  297164 
.  297788 
.  298412 
.  299034 
.299655 

10.48 
10.47 
10.45 
10.43 
10.42 
10.40 
10.40 
10.37 
10.  35 
10.35 

9.  991422 
.  991397 
.  991372 
.  991346 
.  991321 
.  991295 
.  991270 
.  991244 
.  991218 
.  991193 

.42 
.42 
.43 
.42 
.43 
.42 
.43 
.43 
.42 
.43 

9.  302607 
.  303261 
.  303914 
.  304567 
.  305218 
.  305869 
.306519 
.  307168 
.  307816 
.  308463 

10.90 
10.88 
10.88 
10.85 
10.85 
10.83 
10.82 
10.80 
10.78 
10.77 

10.  697393 
.  696739 
.  696086 
.  695433 
.  694782 
.  694131 
.  693481 
.692832 
.  692184 
.  691537 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  300276 
.  300895 
.301514 
.  302132 
.  302748 
.  303364 
.  303979 
.  304593 
.  305207 
.  305819 

10.32 
10.32 
10.30 
10.27 
10.27 
10.25 
10.23 
10.23 
10.20 
10.18 

9.  991167 
.  991141 
.  991115 
.991090 
.  991064 
.  991038 
.  991012 
.  990986 
.990960 
.  990934 

.43 
.43 
.42 
.43 
.43 
.43 
.43 
.43 
.43 
.43 

9.  309109 
.  309754 
.  310399 
.  311042 
.311685 
.  312327 
.  312968 
.  313608 
.  314247 
.314885 

10.75 
10.75 
10.72 
10.72 
10.70 
10.68 
10.67 
10.65 
10.63 
10.63 

10.  690891 
.  690246 
.  689601 
.688958 
.688315 
.  687673 
.687032 
.686392 
.685753 
.  685115 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 

9.  306430 
.  307041 
.  307650 
.  308259 
.  308867 
.  309474 
.310080 
.310685 
.  311289 
.  311893 

10.18 
10.15 
10.15 
10.13 
10.12 
10.10 
10.08 
10.07 
10.07 
10.03 

9.  990908 
.990882 
.990855 
.990829 
.990803 
.  990777 
.  990750 
.  990724 
.  990697 
.990671 

.43 
.45 
.43 
.43 
.43 
.45 
.43 
.45 
.43 
.43 

9.  315523 
.  316159 
.  316795 
.  317430 
.  318064 
.  318697 
.  319330 
.  319961 
.  320592 
.  321222 

10.60 
10.60 
10.58 
10.57 
10.55 
10.55 
10.52 
10.52 
10.50 
10.48 

10.  684477 
.683841 
.683205 
.  682570 
.  681936 
.  681303 
.680670 
.680039 
.  679408 
.  678778 

19 
18 
17 
16 
15 
14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

9.  312495 
.  313097 
.  313698 
.  314297 
.  314897 
.315495 
.  316092 
.  316689 
.  317284 
9.  317879 

10.03 
10.02 
9.98 
10.00 
9.97 
9.95 
9.95 
9.92 
9.92 

9.990645 
.990618 
.990591 
.990565 
.  990538 
.  990511 
.990485 
.  990458 
.  990431 
9.  990404 

.45 
.45 
.43 
.45 
.45 
.43 
.45 
.45 
.45 

9.  321851 
.  322479 
.323106 
.  323733 
.324358 
.  324983 
.  325607 
.  326231 
.326853 
9.  327475 

10.47 
10.45 
10.45 
10.42 
10.42 
10.40 
10.  40 
10.  37 
10.37 

10.  678149 
.  677521 
.  676894 
.  676267 
.  675642 
.  675017 
.  674393 
.  673769 
.  673147 
10.  672525 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

IX  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

101 


78C 


138 


TANGENTS,  AND  COTANGENTS. 


167' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 

9.  317879 
.  318473 
.319060 
.319058 
.  320249 
.  320840 
.321430 
.  322019 
.  322007 
.  323194 
.  323780 

9.90 
9.88 
9.87 
9.85 
9.85 
9.83 
9.82 
9.80 
9.78 
9.77 
9.77 

9.  990404 
.  990378 
.990351 
.  990324 
.  990297 
.  990270 
.  990243 
.990215 
.  990188 
.  990101 
.  990134 

.43 
.45 
.45 
.45 
.45 
.45 
.47 
.45 
.45 
.45 
.45 

9.  327475 
.  328095 
.  328715 
.  329334 
.  329953 
.  330570 
.331187 
.  331803 
.  332418 
.  333033 
.  333646 

10.33 
10.  33 
10.32 
10.32 
10.28 
10.28 
10.27 
10.25 
10.25 
10.22 
10.22 

10.  672525 
.  671905 
.  671285 
.  670606 
.  670047 
.  669430 
.  668813 
.  668197 
.  667582 
.  666967 
.666354 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 
15 
16 
17 
18 
19 

9.  324306 
.  324950 
.  325534 
.  320117 
.  326700 
.  327281 
.  327862 
.  328442 
.  329021 

9.73 
9.73 
9.72 
9.72 
9.68 
9.68 
9.67 
9.05 

9.  990107 
.  990079 
.  990052 
.  990025 
.  989997 
.  989970 
.  989942 
.  989915 
.  989887 

.47 
.45 
.45 
.47 
.45 
.47 
.45 
.47 

9.  334259 
.  334871 
.  335482 
.  336093 
.  336702 
.  337311 
.  337919 
.  338527 
.  339133 

10.20 
10.18 
10.18 
10.15 
10.15 
10.13 
10.13 
10.10 

10.  665741 
.665129 
.  664518 
.  663907 
.  663298 
.  662689 
.662081 
.  661473 
.  660807 

49 
48 
47 
46 
45 
44 
43 
42 
41 

20 

.  329599 

9.  03 
"9.02 

.  989800 

.  45 
.47 

.  339739 

10.  10 
10.08 

.600261 

40 

21 
22 

9.  330176 
.  330753 

9.02 
Q  An 

9.  989832 
.  989804 

.47 

AK 

9.  340344 
.  340948 

10.07 
10  07 

10.  659656 
.  659052 

39 
38 

23 
24 
25 
26 

27 
28 

.  331329 
.  331903 
.  332478 
.  333051 
.  333624 
.  334195 

y.  ou 
9.57 
9.58 
9.55 
9.55 
9.52 

O  ro 

.  989777 
.  989749 
.  989721 
.  989093 
.  989005 
.989637 

»  4O 

.47 
.47 
.47 
.47 
.47 

.  341552 
.  342155 
.  342757 
.  343358 
.  343958 
.  344558 

mos 

10.03 
10.02 
10.00 
10.00 

&ftO 

.  658448 
.  657845 
.  657243 
.656642 
.  056042 
.655442 

37 
36 
35 
34 
33 
32 

29 
30 

.  334767 
.  335337 

y.  oo 
9.50 
9.48 

.  989010 
.  989582 

!47 

.48 

.  345157 
.  345755 

.  uo 
9.97 
9.97 

.  654843 
.654245 

31 
30 

31 

9.  335906 

&AQ 

9.  989553 

An 

9.  346353 

10.  653647 

29 

32 

.  336475 

•  4o 

&A1 

.  989525 

•  4/ 

.  346949 

ft  ft 

.653051 

28 

33 

.  337043 

.  4/ 

Q  45 

.  989497 

47 

.  347545 

Q  CM 

.  652455 

27 

34 

.  337610 

&.40 

.  989469 

*  A7 

.348141 

o  nn 

.651859 

26 

35 

.  338176 

.  4o 

.  989441 

"  47 

.348735 

ft  QA 

.  651265 

25 

36 
37 

.  338742 
.  339307 

9!  42 

Q  40 

.  989413 
.  989385 

.  4* 

.47 

AQ 

.  349329 
.  349922 

y.  yu 
9.88 

Q  Q7 

.  650671 
.650078 

24 
23 

38 

.  339871 

y.  4U 

.  989356 

•  4o 

.  350514 

y.  o/ 

Q  C7 

.  649486 

22 

39 

.340434 

ft  07 

.  989328 

AfJ 

.351106 

y.  o* 

.  648894 

21 

40 

.  340996 

y.  o/ 
9.37 

.  989300 

.  4/ 

.48 

.  351697 

9.  85 
9.83 

.  648303 

20 

41 

42 

9.  341558 
.342119 

9.35 

9.  989271 
.  989243 

.47 

9.  352287 

.  352876 

9.82 
900 

10.  647713 
.  647124 

19 
18 

43 
44 

.  342679 
.  343239 

9!  33 

9  on 

.  989214 
.  989186 

!47 

AQ 

.  &5346S 
.  354053 

.  Ow5 

9.80 

.646535 
.  645947 

17 
16 

45 
46 

.  343797 
.  344355 

.  oU 

9.30 
9  28 

.  989157 
.  989128 

•  4o 

.48 

An 

.  354640 
.355227 

9!  78 

Q  77 

.  645360 
.  644773 

15 
14 

47 
48 
49 

.  344912 
.  345469 
.  346024 

9!  28 
9.25 

.  989100 
.  989071 
.  989042 

*  4/ 

.48 
.48 

.  355813 
.356398 
.  356982 

y.  /  / 
9.75 
9.73 

970 

.  644187 
.643602 
.  643018 

13 
12 
11 

50 

.  346579 

9!  25 

.  989014 

!48 

.  357566 

.  /O 

9.72 

.  642434 

10 

51 

9.  347134 

ft  OO 

9.  988985 

AQ 

9.358149 

97n 

10.  641851 

9 

52 
53 

.347687 
.  348240 

y.  £& 
9.22 
Q  on 

.  988956 
.988927 

m  4O 

.48 

AQ 

.358731 
.  359313 

.  /U 
9.70 

Q  A7 

.  641209 
.640687 

8 
7 

54 

.  348792 

y.  z\j 

ft  -1  D 

.  988898 

•  4o 

AQ 

.  359893 

y.  o/ 

ft   /?0 

.  640107 

6 

55 

.  349343 

y.  io 

Q  17 

.988869 

.  4o 

AQ 

.  360474 

y.  oo 

ft  fie 

.  639526 

5 

56 

.  349893 

y.  j.  / 

.  988840 

•  4o 

.  361053 

y.  IK) 

.  638947 

4 

57 

58 

.  350443 
.350992 

9.  17 
9.15 

Q  1  0 

.988811 
.  988782 

.48 
.48 

AQ 

.  361632 
.  362210 

9.  G5 

9.63 
n  f\*y 

.  638308 
.637790 

3 
2 

59 
60 

.  351540 
9.352088 

y.  io 
9.13 

.  988753 
9.  988724 

•  4o 

.48 

.  362787 
9.363364 

y.  \)£i 
9.62 

.  637213 
10.  636636 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

77° 


139 


13' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


166C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  I". 

Cotang. 

• 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 

9.  352088 
.  352635 
.  353181 
.  353726 
.  354271 
.  354815 
.  355358 
.  355901 
.  356443 
.  356984 
.  357524 

9.12 
9.10 
9.08 
9.08 
9.07 
9.05 
9.05 
9.03 
9.02 
9.00 
9.00 

9.  988724 
.  988695 
.988666 
.988636 
.  988607 
.  988.578 
.988548 
.  988519 
.  988489 
.  988460 
.  988430 

.48 
.48 
.50 
.48 
.48 
.50 
.48 
.50 
.48 
.50 
.48 

9.  363364 
.  363940 
.  364515 
.365090 
.  365664 
.  366237 
.  366810 
.  367382 
.  367953 
.  368524 
.369094 

9.60 
9.58 
9.58 
9.57 
9.55 
9.55 
9.53 
9.52 
9.52 
9.50 
9.48 

10.  636636 
.636060 
.635485 
.  634910 
.  634336 
.  633763 
.633190 
.  632618 
.  632047 
.  631476 
.630606 

60 

59 
58 
57 
56 
55 
54 
53 

51 

50 

11 
12 

9.  358064 
.  358603 

8.98 

O  Q7 

9.  988401 
.988371 

.50 

AQ 

9.  369663 
.  370232 

9.48 

10.  630337 

.  629768 

49 

48 

13 
14 
15 

.  359141 
.  359678 
.  360215 

o.  y* 
8.95 
8.95 

o  QC 

.988342 
.988312 
.  988282 

.  48 

.50 
.50 

.  370799 
.  371367 
.  371933 

9.  45 
9.47 
9.43 

.  629201 
.  628633 
.  628067 

47 
46 
45 

16 

.  360752 

o.  yo 

0  QO 

.  988252 

.  50 

.  372499 

9.  43 

.  627501 

44 

17 
18 
19 

.  361287 
.  361822 
.  362356 

o.  v£ 

8.92 
8.90 

O  00 

.  988223 
.  988193 
.  988163 

'.50 
.50 

CA 

.  373064 
.  373629 
.  374193 

9.  42 
9.42 
9.40 

.  626936 
.  626371 
.  625807 

43 
42 
41 

20 

.  362889 

0.  OO 

8.88 

.  988133 

•  ou 
.50 

.  374756 

9.  38 
9.38 

.  625244 

40 

21 
22 
23 
24 
25 

9.  363422 
.  363954 
.  364485 
.  365016 
.  365546 

8.87 
8.85 
8.85 
8.83 

Q  QO 

9.  988103 
.  988073 
.  988043 
.  988013 
.  987983 

.50 
.50 
.50 
.50 

9.  375319 
.  375881 
.  376442 
377003 
.  377563 

9.37 
9.35 
9.35 
9.33 

9QO 

10.  624681 
.624119 
.  623558 
.  622997 
.622437 

39 
38 
37 
36 
35 

26 
27 
28 
29 
30 

.  366075 
.366604 
.  367131 
.  367659 
.368185 

o.  cV£ 

8.82 
8.78 
8.80 
8.77 
8.77 

.  987953 
.  987922 
.  987892 
.  987862 
.  987832 

.52 
.50 
.50 
.50 
.52 

.  378122 
.  378681 
.  379239 
.  379797 
.380354 

.  62 
9.32 
9.30 
9.30 
9.28 
9.27 

.  621878 
.  621319 
.  620761 
.  620203 
.  619646 

34 
33 
32 
31 
30 

31 
32 
33 

9.368711 
.  369236 
.  369761 

8.75 
8.75 

87O 

9.  987801 
.  987771 
.  987740 

.50 

.52 

CA 

9.  380910 
.381466 
.  382020 

9.27 
9.23 

10.  619090 
.  618534 
.  617980 

29 
28 
27 

34 
35 
36 
37 
38 

.  370285 
.  370808 
.  371330 
.  371852 
.  372373 

.  /  £i 

8.72 
8.70 
8.70 
8.68 

8AQ 

.  987710 
.  987679 
.987649 
.  987618 
.  987588 

•  -ill 

.52 
.50 
.52 
.50 

.  382575 
.  383129 
.383682 
.  384234 
.  384786 

9.  25 
9.23 
9.22 
9.20 
9.20 

.  617425 
.  616871 
.  616318 
.  615766 
.  615214 

26 
25 
24 
23 
22 

39 

.372894 

.  DO 

.  987557 

.52 

.  385337 

9.  18 

.  614663 

21 

40 

.  373414 

8.  67 
8.65 

.  987526 

.  52 
.50 

.385888 

9.  18 
9.17 

.614112 

20 

41 
42 

9.  373933 
.  374452 

8.65 

o  ^Q 

9.  987496 
.  987465 

.52 

9.  386438 
.  386987 

9.15 

91  K 

10.  613562 
.  613013 

19 

18 

43 
44 

.  374970 
.  375487 

O.  UO 

8.62 

O  f\f\ 

.  987434 
.  987403 

'.52 

.387536 
.  388084 

.  lo 
9.13 

.  612464 
.611916 

17 
16 

45 

46 
47 

.376003 
.  376519 
.  377035 

O.  \)\J 

8.60 
8.60 

o  C7 

.  987372 
.  987341 
.  987310 

'.52 
.52 
co 

.388631 
.  389178 
.  389724 

9!  12 
9.10 

.  611369 
.  610822 
.  610276 

15 
14 
13 

48 
49 

.  377549 
.  378063 

O.  O/ 

8.57 

o  c7 

.  987279 
.  987248 

•  •  >- 
.52 

.390270 

.  390815 

9.  10 
9.08 

&f\Q 

.  609730 
.  609185 

12 
11 

50 

.  378577 

o.  o/ 
8.53 

.  987217 

'.52 

.  391360 

.  Uo 

9.05 

.  608640 

10 

51 
52 
53 
54 

9.379089 
.379601 
.380113 
.  380624 

8.53 
8.53 
8.52 

8CA 

9.  987186 
.  987155 
.  987124 
.  987092 

.52 
.52 
.53 

CO 

9.  391903 
.  392447 
.  392989 
.  393531 

9.07 
9.03 
9.03 

9  no 

10.  60S097 
.  607553 
.  607011 
.  606469 

9 

8 
7 
6 

55 

.381134 

.  oU 

O  AO 

.  987061 

.  394073 

.  Ud 

.  605927 

5 

56 

.  381643 

o.  48 

8AQ 

.  987030 

CO 

.  394614 

9.  02 

9AA 

.  605386 

4 

57 
58 

.  382152 
.  382661 

*  4o 

8.48 

.  986998 
.  986967 

.  GO 

.52 

.  395154 
.  395694 

.  UU 

9.00 

Q  QQ 

.  604846 
.  604306 

3 

2 

59 

.  383168 

8   AX. 

.  986936 

**** 

.  396233 

o.  yo 

8O7 

.  603767 

1 

60 

9.  383675 

.  4o 

9.  986904 

9.  396771 

.  y/ 

10.  603229 

0 

r 

Cosine. 

D.  I". 

Sine, 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

103 c 


76C 


140 


14° 


TANGENTS,  AND  COTANGENTS. 


165C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 

9.  383675 
.  384182 
.  384687 
.385192 

8.45 
8.42 
8.42 

9.  986904 
.  986873 
.  986841 
.  986809 

.52 
.53 
.53 

CO 

9.396771 
.  397309 
.397846 
.398383 

8.97 
8.95 
8.95 

10.  603229 
.602691 
.602154 
.  601617 

60 
59 
58 
57 

4 

5 

.  385697 
.  386201 

8.  40 

O  OO 

.  986778 
.  986746 

•  '  >  _ 

.53 

CO 

.  398919 
.  399455 

a  93 

.  601081 
.  600545 

56 
55 

6 
7 
8 
9 

.  386704 
.  387207 
.  387709 
.  388210 

o.  oo 

8.38 
8.37 
8.35 

ft  *JK 

.  986714 
.  986683 
.986651 
.  986619 

•  Oo 

.52 
.53 
.53 

CO 

.399990 
.400524 
.  401058 
.  401591 

&90 
8.90 
8.88 

O  QO 

.600010 
.599476 
.598942 
.598409 

54 
53 
52 
51 

10 

.  388711 

O.  OO 

8.33 

.  986587 

•  Do 

.53 

.  402124 

O.  OO 

8.87 

.597876 

50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.389211 
.  389711 
.  390210 
.  390708 
.  391206 
.  391703 
.  392199 
.  392695 
.  393191 
.393685 

8.33 

8.32 
8.30 
8.30 
8.28 
8.27 
8.27 
8.27 
8.23 
8.23 

9.  986555 
.  986523 
.  986491 
.  986459 
.  986427 
.  986395 
.  986363 
.  986331 
.  986299 
.  986266 

.53 
.53 
.53 
.53 
.53 
.53 
.53 
.53 
.55 
.53 

9.  402656 
.  403187 
.  403718 
.  404249 
.  404778 
.  405308 
.405836 
.406364 
.406892 
.  407419 

8.85 
8.85 
8.85 
8.82 
8.83 
8.80 
8.80 
8.80 
8.78 
8.77 

10.597344 
.596813 
.  596282 
.  595751 
.  595222 
.594692 
.594164 
.593636 
.593108 
.592581 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 
23 

24 
25 
26 
27 
28 
29 

9.  394179 
.  394673 
.  395166 
.  395658 
.  396150 
.  396641 
.  397132 
.  397621 
.  398111 

8.23 

8.22 
8.20 
8.20 
8.18 
8.18 
8.15 
8.17 

0  1  C 

9.  986234 
.  986202 
.  986169 
.  986137 
.  986104 
.  986072 
.  986039 
.  986007 
.  985974 

.53 
.55 
.53 
.55 
.53 
.55 
.53 
.55 

CO 

9.  407945 
.  408471 
.  408996 
.  409521 
.  410045 
.  410569 
.  411092 
.  411615 
.  412137 

8.77 
8.75 
8.75 
8.73 
8.73 
8.72 
8.72 
8.70 

8fyQ 

10.592055 
.591529' 
.591004 
.590479 
.589955 
.  589431 
.588908 
.588385 
.587863 

39 
38 
37 
36 
35 
34 
33 
32 
31 

30 

.  398600 

o.  1O 

8.13 

.985942 

•  Oo 

.55 

.  412658 

.  OO 

8.68 

.587342 

30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.399088 
.  399575 
.400062 
.  400549 
.  401035 
.  401520 
.  402005 
.  402489 
.  402972 
.  403455 

8.12 
8.12 
8.12 
8.10 
8.08 
8.08 
8.07 
8.05 
8.05 
8.05 

9.985909 
.  985876 
.  985843 
.  985811 
.  985778 
.  985745 
.  985712 
.  985679 
.  985646 
.  985613 

.55 
.55 
.53 
.55 
.55 
.55 
.55 
.55 
.55 
.55 

9.  413179 
.  413699 
.  414219 
.  414738 
.  415257 
.  415775 
.  416293 
.  416810 
.  417326 
.  417842 

8.67 
8.67 
8.65 
8.65 
8.63 
8.63 
8.62 
8.60 
8.60 
8.60 

10.586821 
.586301 
.585781 
.  585262 
.  584743 
.584225 
.  583707 
.583190 
.582674 
.  582158 

29 

28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 

9.  403938 
.  404420 
.  404901 
.  405382 
.  405862 

8.03 
8.02 
8.02 
8.00 

9.  985580 
.  985547 
.985514 
.  985480 
.  985447 

.55 
.55 
.57 
.55 

re 

.9.  418358 
.  418873 
-.419387 
.  419901 
.  420415 

8.58 
8.57 
8.57 
8.57 

10.  581642 
.581127 
.580613 
.580099 
.579585 

19 
18 
17 
16 
15 

46 
47 
48 
49 
50 

.406341 
.  406820 
.  407299 
.  407777 
.  408254 

7^98 
7.98 
7.97 
7.95 
7.95 

.  985414 
.  985381 
.  985347 
.  985314 
.  985280 

.00 

.55 

.57 
.55 
.57 
.55 

.  420927 
.  421440 
.  421952 
.422463 
.  422974 

8.  55 
8.55 
8.53 
8.52 
8.52 
8.50 

.579073 
.578560 
.578048 
.577537 
.577026 

14 
13 
12 
11 
10 

51 

9.  408731 

7  93 

9.  985247 

9.  423484 

Q  AQ 

10.  576516 

9 

52 

.  409207 

.  985213 

•  57 

.  423993 

a.  48 

.576007 

8 

53 
54 
55 
56 
57 

.  409682 
.  410157 
.  410632 
.411106 
.  411579 

7^92 
7.92 
7.90 

7.88 

700 

.  985180 
.  985146 
.  985113 
.  985079 
.  985045 

.55 
.57 
.55 
.57 
.57 

.  424503 
.  425011 
.  425519 
.426027 
.  426534 

8.  50 
8.47 
8.47 
8.47 
8.45 

.575497 
.574989 
.574481 
.  573973 
.  573466 

7 
6 
5 
4 
3 

58 
59 
60 

.  412052 
.  412524 
9.  412996 

•  OO 

7.87 
7.87 

.  985011 
.  984978 
9.  984944 

'.55 
.57 

.  427041 
.  427547 
9.428052 

8.  45 
8.43 
8.42 

.  572959 
.  572453 
10.  571948 

2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Co  tang. 

D.  1". 

Tang. 

' 

104° 


75° 


141 


15C 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


164:e 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 

9.  412996 
.  413467 
.  413938 
.  414408 
.  414878 
.  415347 
.  415815 
.  416283 
.  416751 
.  417217 
.  417684 

7.85 
7.85 
7.83 
7.83 
7.82 
7.80 
7.80 
7  80 
7.77 
7.78 
7.77 

9.  984944 
.  984910 
.  984876 
.  984842 
.  984808 
984774 
.  984740 
.  984706 
.  984672 
.  984638 
.984603 

.57 
.57 
.57 
.57 
.67 
.67 
.67 
.57 
.57 
.58 
.57 

9.  428052 
.  428558 
.429062 
.  429566 
.  430070 
.  430573 
.  431075 
.  431577 
.  432079 
.  432580 
.  433080 

8.43 
8.40 
8.40 
8.40 
8.38 
8.37 
837 
8.37 
8.35 
8.33 
8.33 

10.  571948 
.  571442 
.  570938 
.  570434 
569930 
.569427 
.  568925 
.  568423 
.567921 
.  567420 
.566920 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 

9.  418150 
.  418615 
.  419079 
.  419544 

7.75 
7.73 
7.75 

77O 

9.  984569 
.  984535 
.  984500 
.  984466 

.67 

.58 

K7 

9.  433580 
.434080 
.  434579 
.  435078 

8.33 
8.32 
8.32 

o  on 

10.  566420 
.  565920 
.565421 
.564922 

49 

48 
47 
46 

15 
16 
17 
18 
19 
20 

.420007 
420470 
.  420933 
.  421395 
.421857 
.  422318 

.  tZ 

7.72 
7.72 
7.70 
7.70 
7.68 
7.67 

.  984432 
.  984397 
.  984363 
.  984328 
.  984294 
.984259 

•  •)  i 

.68 
.57 
.58 
.57 
.58 
.58 

43,5576 
.  436073 
.  436570 
.  437067 
.  437563 
.  438059 

o.  OU 

8.28 
8.28 
8.28 
8.27 
8.27 
8.25 

.  564424 
.  563927 
.563430 
.  562933 
.562437 
.  561941 

45 
44 
43 
42 
41 
40 

21 
22 
23 

9.  422778 
.  423238 
.  423697 

7.67 
7.65 

.984224 
.  984190 
.  984155 

.57 
.58 

CO 

9.  438.554 
.  439048 
.  439543 

8.23 
8.25 

O  OO 

10.  561446 
.560952 

.  /i60457 

39 

38 
37 

24 
25 
26 
27 

.  424156 
.  424615 
.  425073 
.425530 

7.  65 
7.65 
7.63 
7.62 

.  984120 
.984085 
.984050 
.  984015 

.  58 
.58 
.58 
.58 

.  440036 
.  440529 
.  441022 
.  441514 

o.  Z2 
8.22 
8.22 
8.20 
Son 

.  559964 
.559471 

.558978 
.  558486 

36 
35 
34 
33 

28 
29 

.425987 
.  426443 

7.  62 
7.60 

7nf\ 

.  983981 
.  983946 

'.58 

pro 

.442006 
.  442497 

.  Z\) 

8.18 

ft  1  C 

.557994 
.557503 

32 
31 

30 

.426899 

.  oU 
7.58 

.  983911 

•  Oo 

.60 

.442988 

o.  lo 

8.18 

.  557012 

30 

31 
32 

9.  427354 
.  427809 

7.58 

9.  983875 
.  983840 

.58 

to 

9.  443479 
.443968 

8.15 

81  7 

10.556521 
.556032 

29 
28 

33 
34 
35 
36 

.  428263 
.  428717 
.  429170 
.  429623 

7.  57 
7.57 
7.55 
7.55 

7  CO 

.  983805 
.  983770 
.  983735 
.983700 

.  OO 

.58 
.58 
.58 
fin 

.  444458 
.  444947 
.  445435 
.  445923 

1  / 

8.15 
8.13 
8.13 

010 

.555542 
.555053 
.  554565 
.  554077 

27 
26 
25 
24 

37 
38 

.430075 
.  430527 

.  Oo 

7.53 

7  ^2 

.  983664 
.  983629 

.  ou 
.58 

CO 

.446411 
.  446898 

o.  lo 

8.12 
8  10 

.  553589 
.553102 

23 
22 

39 
40 

.  430978 
.431429 

7.  52 
7.50 

.  983594 
.983558 

*  Oo 
.60 

.58 

.  447384 
.  447870 

a  10 

8.10 

.552616 
.552130 

21 
20 

41 
42 
43 

9.  431879 
.  432329 
.  432778 

7.50 

7.48 

9.  983523 
.  983487 
.  983452 

.60 
.58 

9.  448356 
.  448841 
.  449326 

8.08 
8.08 

8fY7 

10  551644 
.551159 
.  550674 

19 
18 
17 

44 
45 

.  433226 
.433675 

7.  47 

7.48 

.  983416 
.983381 

".58 

AA 

.  449810 
.  450°94 

••  U/ 

8.07 
c  n^. 

.  550190 
.  549706 

16 
15 

46 
47 

.  434122 
.  434569 

7.  45 
7.45 

.983345 
.983309 

.  uU 
.60 

.  450777 
.451260 

o.  UO 

8.05 

0  f\C 

.  549223 
.  548740 

14 
13 

48 
49 
50 

.  435016 
.  435462 
.  435908 

7.  45 
7.43 
7.43 

7.42 

.  983273 
.  983238 
.983202 

!ss 

.60 
.60 

.451743 
.452225 
.  452706 

o.  UO 

8.03 
8.02 
8.02 

.  548257 
.  547775 
.  547294 

12 
11 
10 

51 
52 

53 

9.  436353 
.  436798 
.437242 

7.42 
7.40 

7Af\ 

9.  983166 
.  983130 
.983094 

.60 
.60 
fin 

9.  453187 
.  453668 
.  454148 

8.02 
8.00 
8.  00 

10.  546813 
.  546332 
.545852 

9 
8 
7 

54 

.  437686 

.  4U 

700 

.983058 

.  ou 

.  454628 

700 

.  545372 

6 

55 

.  438129 

.  OO 

.983022 

AH 

.  455107 

.  oo 

7  oo 

.544893 

5 

56 

.  438572 

7.  38 

7*57 

.  982986 

.  OU 

fin 

.455586 

/.  yo 

7  97 

.544414 

4 

57 

58 
59 
60 

.439014 
.  439456 
.  439897 
9.  440338 

•  Oi 

7.37 
7.35 
7.35 

.  982950 
.982914 
.  982878 
9.  982842 

*  ou 
.60 
.60 
.60 

.  456064 
.456542 
.  457019 
9.457496 

7.  97 
7.95 
7.95 

.  543936 
.  543458 
.542981 
10.  542404 

3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

103 e 


142 


16° 


TANGENTS,  AND  COTANGENTS. 


163° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 

9.  440338 
.  440778 
.  441218 
.  441658 

7.33 
7.33 
7.33 

7  on 

9.  982842 
.  982805 
.  982769 
.  982733 

.62 
.60 
.60 

AO 

9.  457496 
.  457973 
.  458449 
.458925 

7.95 
7.93 
7.93 
7  02 

10.  542504 
.542027 
.  541551 
.  541075 

60 
59 

58 
57 

4 
5 

.442096 
.  442535 

.  oU 

7.32 

7  on 

.  982696 
.  982660 

•  D  J 

.60 

.  459400 
.  459875 

7!  92 

.540600 
.  540125 

56 
55 

6 

7 
8 

.  442973 
.  443410 
.  443847 

oU 

7.28 
7.28 

7OQ 

.  982624 
.  982587 
.  982551 

'.62 
.60 

.460349 
.  460823 
.  461297 

7^90 
7.90 

7CQ 

.539651 
.539177 
.538703 

54 
53 

52 

9 

.  444284 

.  Jo 
797 

.  982514 

*  62 

.  461770 

.  oO 

707 

.  538230 

51 

10 

.  444720 

.  -  i 

7.25 

.  9S2477 

!60 

.  462242 

.  O* 

7.88 

.537758 

50 

11 
12 
13 

9.  445155 
.  445590 
.  446025 

7.25 
7.25 

700 

9.  982441 
.  982404 
.  982307 

.62 
.62 

AA 

9.  462715 
.  463186 
.463658 

7.85 
7.87 

700 

10.  537285 
.  536814 
.536342 

49 
48 

47 

14 
15 
16 

.  446459 
.  446893 
.  447326 

.Jo 
7.23 

7.22 

7OO 

.  982331 
.  982294 
.  982257 

•  DU 

.62 
.62 

.  464128 
.  464599 
.465069 

.  80 
7.85 
7.83 

.  535872 
.  535401 
.  534931 

46 
45 
44 

17 

.  447759 

.  11 

.  982220 

.  62 

.465539 

7.  83 

.534461 

43 

18 

.  448191 

7  on 

.  982183 

.  62 

.466008 

7.  82 

.533992 

42 

19 

.  448623 

.  JU 
7-10 

.  982146 

.  62 

£?O 

.466477 

7.  82 

7OA 

.533523 

41 

20 

.  449054 

•  lo 

7.18 

.  982109 

.  '  ).. 
.62 

.  466945 

.  oU 

7.80 

.533055 

40 

21 
22 

9.  449485 
.  449915 

7.17 

717 

9.  982072 
.  982035 

.62 

9.  467413 
.  467880 

7.78 

77C 

10.  532587 
.  532120 

39 

38 

23 
24 

.450345 
.  450775 

•  ll 

7.17 

71  PI 

.  981998 
.  981961 

'.62 

AO 

.468347 
.  468814 

to 
7.78 

777 

.  531653 
.531186 

37 
36 

25 

26 

.  451204 
.  451632 

•  lo 

7.13 

7-10 

.  981924 

.  981880 

•  D  J 

.63 

AO 

.  469280 
.  409746 

.  /  i 

7.77 

77C 

.  530720 
.  530254 

35 
34 

27 
28 
29 
30 

.  4520GO 
.  452488 
.  452915 
.453342 

.  lo 
7.13 
7.12 
7.12 
7.10 

.  981849 
.  981812 
.  981774 
.  981737 

*  D  J 

.62 
.63 
.62 
.62 

.470211 
.  470676 
.  471141 

.  471005 

.  /O 

7.75 
7.75 
7.73 
7.73 

.  529789 
.  529324 
.528859 
.528395 

33 
32 
31 
30 

31 
32 
33 

9.  453768 
454194 
454619 

7.10 
7.08 

9.  981700 
.  981662 
.  981625 

.63 
.62 

£0 

9.  472069 
.  472532 
.  472995 

7.72 

7.72 
77n 

10.  527931 

.  527408 
.527005 

29 
28 
27 

34 
35 
36 
37 
38 
39 
40 

.  455044 
.  455469 
.  455893 
.456316 
.  456739 
.  457162 
.  457584 

7.  08 
7.07 
7.05 
7.05 
7.05 
7.03 
7.03 

.  981587 
.  981549 
.  981512 
.  981474 
.  981436 
.  981399 
.  981361 

•  Do 

.63 
.62 
.63 
.63 
.62 
.63 
.63 

.  473457 
.  473919 
.  474381 
.  474842 
.  475303 
.  475703 
.  476223 

.  rU 

7.70 
7.70 
7.68 
7.68 
7.67 
7.67 
7.67 

.  526543 
.  526081 
.  525619 
.525158 
.  524697 
.  524237 
.  523777 

26 
25 
24 
23 
22 
21 
20 

41 
42 
43 

9.  458006 
.  458427 

.458848 

7.02 
7.02 
7nn 

9.  981323 
.981285 
.  981247 

.63 
.63 

AQ 

9.  476683 
.  477142 
.  477601 

7.65 
7.65 

7AQ 

10.  523317 

.  522858 
.  522399 

19 
18 
17 

44 
45 
46 
47 

.459268 
.459688 
.  460108 
.460527 

»  UU 

7.00 
7.00 
6  98 
c  oo 

.  981209 
.  981171 
.  981133 
.981095 

.  Do 

.63 
.63 
.63 

.  478059 
.  478517 
.  478975 
.  479432 

.  Do 

7.63 
7.63 
7.62 

.  521941 

.521483 
.  521025 
.  520568 

16 
15 
14 
13 

48 
49 
50 

.  460946 
.  461364 
.  461782 

o.  yjs 
6.97 
6.97 
6.95 

.  981057 
.  981019 
.980981 

.  63 
.63 
.63 

.65 

.  479889 
.  480345 
.480801 

7.  62 
7.60 
7.60 
7.60 

.520111 
.  519655 
.  519199 

12 
11 
10 

51 
52 
53 

9.  462199 
.  462616 
.463032 

6.95 
6.93 

R  QO 

9.  980942 
.  980904 
.980866 

.63 
.63 

9.  481257 
.  481712 
.  482167 

7.58 
7.58 

10.  518743 

.  518288 
.  517833 

9 
8 
7 

54 
55 
56 
67 

.463448 
.463864 
.464279 
.464694 

D.  yo 
6.93 
6.92 
6.92 

.980827 
.980789 
.  980750 
.  980712 

!63 
.65 
63 

.  482621 
.  4&3075 
.  483529 
.  483982 

7.  57 
7.57 
7.57 
7.55 

.  517379 
.  516925 
.516471 

.516018 

6 
5 
4 
3 

58 
59 

.463108 
.465522 

&90 

ft  CC 

.  980673 
.  980635 

.  65 
.63 

AK 

.  484435 

.484887 

7.  55 
7.53 

7  "*> 

.  515565 
.515113 

2 

1 

60 

9.  465935 

D.  oo 

9.  980596 

.  Do 

9.  485339 

•  oo 

10.  514601 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

A 

10U 


73' 


143 


17' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


162° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  465935 

9.  980596 

9.  485339 

10.  514661 

60 

1 

.  466348 

6.  88 

.  980558 

.  63 

.  485791 

7.  53 

.  514209 

59 

2 
3 

.  466761 
.  467173 

6.  88 
6.87 

A  ft7 

.  980519 
.980480 

.  65 
•  65 

.  486242 
.  486693 

7.52 
7.52 

7rn 

.513758 
.  513307 

58 
57 

4 
5 
6 

7 
8 
9 

.  467585 
.  467996 
.  468407 
.468817 
.  469227 
.  469637 

D.  01 

6.85 
6.85 
6.83 
6.83 
6.83 

A  QO 

.  980442 
.  980403 
.  980364 
.  980325 
.  980286 
.  980247 

!es 

.65 
.65 

.65 
.65 

.  487143 
.  487593 
.  488043 
.  488492 
.  488941 
.  489390 

.  OU 

7.50 
7.50 

7.48 
7.48 
7.48 

7X7 

.  512857 
.  512407 
.511957 
.  511508 
.511059 
.  510610 

56 
55 
54 
53 
52 
51 

10 

.  470046 

D.  oZ 

6.82 

.  980208 

!65 

.  489838 

.  4* 

7.47 

.  510162 

50 

11 

9.  470455 

A  cn 

9.  980169 

AK 

9.  490286 

7.  45 

10.509714 

49 

12 

.  470863 

D.  oU 
A  Qrt 

.  980130 

.  DO 
AK 

.  490733 

.  509267 

48 

13 

.  471271 

O.  oU 

.980091 

.  DO 
AK 

.  491180 

7.  45 

.  508820 

47 

14 
15 
16 
17 

.  471679 
.  472086 
.  472492 

.  472898 

6.  80 
6.78 
6.77 
6.77 

077 

.980052 
.  980012 
.  979973 
.  979934 

.  66 
.67 
.65 
.65 

.  491627 
.  492073 
.  492519 
.492965 

7.  45 
7.43 
7.43 
7.43 

7  42 

.  508373 
.  507927 
.  507481 
.  507035 

46 
45 
44 
43 

18 
19 
20 

.  473304 
.  473710 
.  474115 

.  /  / 

6.77 
6.75 
6.73 

.  979895 
.  979855 
.  979816 

!67 
.65 
.67 

.  493410 
.  493854 
.  494299 

7.  40 
7.42 
7.40 

.506590 
.506146 
.  505701 

42 
41 
40 

21 

9.  474519 

9.  979776 

AK 

9.  494743 

10.  505257 

39 

22 

23 
24 
25 
26 
27 
28 

.  474923 
.  475327 
.  475730 
.  476133 
.  476536 
.  476938 
.  477340 

6.  73 
6.73 
6.72 
6.72 
6.72 
6.70 
6.70 
A  ro 

.  979737 
.  979697 
.979658 
.  979618 
.  979579 
.  979539 
.  979499 

.  65 
.67 
.65 
.67 
.65 
.67 
.67 

A7 

.  495186 
.495630 
.496073 
.496515 
496957 
.  497399 
.  497841 

7.  38 
7.40 
7.38 
7.37 
7.37 
7.37 
7.37 

7   OF 

.504814 
.  504370 
.  503927 
.  503485 
.  503043 
.  502601 
.  502159 

38 
37 
36 
35 
34 
33 
32 

29 

.  477741 

o.  oo 
6  Aft 

.  979459 

.  D/ 
ftR 

.  498282 

.  OO 

700 

.501718 

31 

30 

.  478142 

Do 

6.67 

.  979420 

.  DO 

.67 

.  498722 

.  OO 

7.35 

.  501278 

30 

31 
32 
33 
34 
35 
36 
37 
38 

9.  478542 
.  478942 
.  479342 
.  479741 
.  480140 
.  480539 
.  480937 
.  481334 

6.67 
6.67 
6.65 
6.65 
6.65 
6.63 
6  62 

A  AO 

9.  979380 
.  979340 
.  979300 
.  979260 
.  979220 
.  979180 
.  979140 
.  979100 

.67 
.67 
.67 
.67 
.67 
.67 
.67 

AQ 

9.  499163 
.499603 
.500042 
.500481 
.500920 
.  501359 
.501797 
.502235 

7.33 
7.32 
7.32 
7.32 
7.32 
7.30 
7.30 

10.  500837 
.  500397 
.  499958 
.  499519 
.  499080 
.  498641 
.  498203 
.  497765 

29 
28 
27 
26 
25 
24 
23 
22 

39 

40 

.  481731 

.  482128 

O.  vZ 
6.62 
6.62 

.  979059 
.  979019 

•  Oo 

.67 
.67 

.  502672 
.503109 

7.28 

7.28 

.  497328 
.  496891 

21 
20 

41 
42 
43 
44 

9.  482525 
.  482921 
.483316 
.  483712 

6.60 
6.58 
6.60 

A  £Q 

9.  978979 
.  978939 
.  978898 
.978858 

.67 
.68 
.67 

AQ 

9.  503546 
.  503982 
.  504418 
.504854 

7.27 
7.27 
7.27 

7OC 

10.  496454 
.  496018 
.  495582 
.  495146 

19 
18 
17 
16 

45 
46 
47 
48 
49 
50 

.  484107 
.  484501 
.  484895 
.  485289 
.485682 
.486075 

D.  OO 

6.57 
6.57 
6.57 
6  55 
6.55 
G.53 

.  978817 
.  978777 
.  978737 
.  978696 
.  978655 
.  978615 

.  Do 

.67 

.67 
.68 
.68 
.67 
.68 

.  505289 
.  505724 
.  506159 
.506593 
.  507027 
.  507460 

.  _•  > 

7.25 
7.25 
7.23 
7.23 
7.23 
7.22 

.494711 
.  494276 
.  493841 
.  493407 
.  492973 
.492540 

15 
14 
13 
12 
11 
10 

51 
52 
53 

9.  486467 
.486860 
.  487251 

6.55 
6.52 

A  £•} 

9.  978574 
-  978533 
.  978493 

.68 
.67 

CQ 

9.507893 
.508326 
.  508759 

7.22 
7.22 
7  on 

10.  492107 
.  491674 
.  491241 

9 
8 

7 

54 
55 
56 

.  487643 
.  488034 
.488424 

O.  OO 

6.52 
6.50 

.  978452 
.978411 
.  978370 

.  OO 

.68 
.68 

AO 

.509191 
.509622 
.510054 

.  ZO 
7.18 
7.20 

71  Q 

.  490809 
.  490378 
.  489946 

6 
5 
4 

57 
58 

.488814 
.  489204 

6.  50 
6.50 

A  AQ 

.  978329 

.  978288 

.  DO 

.68 

AQ 

.  510485 
.510916 

.  lo 
7.18 

71  7 

.  489515 
.  489084 

3 

2 

59 
60 

.  489593 
9.  489982 

o.  4o 
6.48 

.  978247 
9.  978206 

.  DO 

.68 

.511346 
9.  511776 

.  1  1 

7.17 

.488654 
10.  488224 

1 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

107 c 


144 


IS c 


TANGENTS,  AND  COTANGENTS. 


161s 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

9.  489982 
.  490371 

6.48 

i\  47 

9.  978208 
.  978165 

.68 

Aft 

9.  511776 
.  512206 

7.17 

71  K 

10.  488224 
.  487794 

60 
59 

2 
3 

.  490759 
.  491147 

0.  4/ 

6.47 
fi  47 

.  978124 
.  978083 

*  Oo 

.68 

Aft 

512635 
.  513064 

.  10 
7.15 

71  £ 

.  4873G5 
.  486936 

58 
57 

4 
5 
6 

.  491535 
.  491922 
.  492308 

U.  TI 

6.45 
6.43 

6Afl 

.  978042 
.  978001 
.  977959 

.  Do 

.68 
.70 

Aft 

.  513493 
.  513921 
.514349 

10 
7.13 
7.13 

71  Q 

.  486507 
.  486079 
.  485651 

56 
55 
54 

7 

.  492695 

.  4o 

6,40 

.  977918 

•  Oo 

ftO 

.  514777 

lo 

71O 

.485223 

53 

8 
9 

.  493081 
.  493466 

.  4o 

6.42 

A  AO 

.  977877 
.  977835 

.  DO 

.70 

AQ 

.  515204 
.515631 

.  L& 

7.12 

7-1  rv 

.  484796 
.  484369 

52 

51 

10 

.  493851 

0.  4-& 

6.42 

.  977794 

.  DO 

.70 

.516057 

.  10 

7.12 

.483943 

50 

11 
12 

9.  494236 

.  494021 

6.42 

fi  Af\ 

9.  977752 
.  977711 

.68 

>jf\ 

9.  516484 
.  516910 

7.10 

7  no 

10.  483516 
.  483090 

49 
48 

13 

.  495005 

0.  4U 

fi  QQ 

.  977669 

.  iO 

Aft 

.517335 

.  Uo 
71  ft 

.  482665 

47 

14 

.  495388 

0.  oo 

A  Af\ 

.  977628 

«  DO 
7ft 

.  517761 

.  1U 

7ftQ 

.  482239 

46 

15 

.  495772 

0.  4U 
607 

977586 

.  tO 
7ft 

.518186 

Oo 

7(Y7 

.   .  481814 

45 

16 

.  49G154 

.  01 

6QQ 

.  977544 

•  /U 

ftO 

.518610 

•  \)t 
7ft7 

.  481390 

44 

17 

18 

.  496537 
.  496919 

.  oo 

6.37 

fi  Q7 

.  977503 
.  977461 

oo 
.70 

7ft 

.519034 
.  519458 

.  U/ 

7.07 

7ft7 

.  480966 
.  480542 

43 

42 

19 
20 

.  497301 

.  497682 

U.  Of 

6.35 
6.35 

.  977419 
.  977377 

•  /  U 

.70 
.70 

.  519882 
.520305 

.  U* 

7.05 
7.05 

.480118 
.  479695 

41 
40 

21 
22 

23 
24 
25 
26 
27 
28 
29 
30 

9.  498064 
.  498444 
.  498825 
.  499204 
.  499584 
.  499963 
.  500342 
.  500721 
.  501099 
.  501476 

6.33 
6.35 
6.32 
6.33 
6.32 
6.32 
6.32 
6.30 
6.28 
6.30 

9.  977335 
.  977293 
.  977251 
.  977209 
.  977167 
.  977125 
.  977083 
.  977041 
.  976999 
.  976957 

.70 
.70 
.70 
.70 
.70 
.70 
.70 
.70 
.70 
.72 

9.  520728 
.521151 
.  521573 
.  521995 
.522417 
.522838 
.  523259 
.523680 
.  524100 
.  524520 

7.05 
7.03 
7.03 
7  03 
7.02 
7.02 
7.02 
7.00 
7.00 
7.00 

10  479272 
.  478849 
.  478427 
.  478005 
.  477583 
.  477162 
.  476741 
.  476320 
.  475900 
.  475480 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 

9.  501854 

A  oo 

9.  976914 

7ft 

9.  524940 

A  QQ 

10.  475060 

29 

32 

.502231 

D.  ^o 
697 

.  976872 

.  tO 

7ft 

.525359 

o.  y& 

A  QQ 

.  474641 

28 

33 

.  502607 

•  £1 

600 

.  976830 

.  lU 
7O 

.  525778 

0.  y$ 
A  QQ 

.  474222 

27 

34 
35 

.  502984 
.  503360 

.  Zo 

6.27 

6  or 

.  976787 
.  976745 

.  t£ 

.70 

70 

.  526197 
.  526615 

D.  yo 
6.97 

A  Q7 

.  473803 
.  473385 

26 
25 

36 
37 

38 

.  503735 
.504110 
.  504485 

.  _•  • 

6.25 
6.25 

6  or. 

.  976702 
.  976660 
.  976617 

•  i  ~ 

.70 

.72 

7O 

.  527033 
.  527451 

.  527868 

o.  y/ 
6.97 
6.95 
A  QP; 

.  472967 
.  472549 
.  472132 

24 
23 

22 

39 
40 

.  504860 
.  505234 

.  _•  ) 

6.23 
6  23 

.  976.574 
.  976532 

.  '  J 

.70 

.72 

.  528285 
.528702 

o.  yo 
6.95 
6.95 

.  471715 
.  471298 

21 
20 

41 
42 
43 
44 
45 
46 
47 

9.  505608 
.505981 
.506354 
.  506727 
.507099 
.  507471 
.507843 

6.22 
6.22 
6.22 
6.20 
6.20 
6  20 

fi  1Q 

9.  976489 
.  976446 
.  976404 
.  976361 
.  976318 
.  976275 
.  976232 

.72 
.70 
.72 
.72 
.72 
.72 

79 

9.529119 
.529535 
.  529951 
.  530366 
.530781 
.  53119G 
531611 

6.93 
6.93 
6.92 
6.92 
6  92 
6.92 
6  on 

10.  470881 
.  470465 
.  470049 
.  469634 
.  469219 
.468804 
.468389 

19 

18 
17 
16 
15 
14 
13 

48 
49 
50 

.  508214 
.508585 
.  508956 

O.  io 

6.18 
6.18 
6.17 

.  976189 
.  976146 
.  976103 

•  /w 

.72 
.72 

.72 

.  532025 
.  532439 
.  532853 

yu 
6.90 
6.90 
6.88 

-  467975 
.  467561 
.  467147 

12 
11 
10 

51 

9.  509326 

A  1  7 

9.  976060 

7O 

9.  533266 

/*  QQ 

10.  466734 

9 

52 

.  509696 

O.  Li 

A  i  c; 

.  976017 

.  VA 
70 

.533679 

D.  00 

600 

.  466321 

8 

53 
54 

.510065 
.  510434 

D.  io 
6.15 

.  975974 
.  975930 

.  i  Z 
.73 

7O 

.  534092 
.  534504 

.  oo 

6.87 

.  465908 
.  465496 

7 
6 

55 

.  510803 

6.  15 

ft  1  c 

.  975887 

.  12, 

7O 

.  534916 

6.  87 

607 

.  465084 

5 

56 

.511172 

D.  lO 
61  Q 

.  975844 

•  f  - 
71 

.  535328 

.  o* 

.  464672 

4 

57 

.  511540 

.  lo 
611 

.  975800 

.  to 

.  535739 

6.  85 

.  464261 

3 

58 
59 

.511907 
.  512275 

.  12 

6.13 
610 

.  975757 
.975714 

.  72 

.72 
•70 

.  536150 
.536561 

6.  85 
6.85 

6  or; 

.  463850 
.  463439 

2 
1 

60 

9.  512642 

.  i  - 

9.  975670 

.  /o 

9.  536972 

.  oo 

10.  463028 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.I" 

Cotang. 

D.  1". 

Tang. 

' 

108C 


71' 


41479—10 10 


145 


19° 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  512642 

A  19 

9.  975670 

79 

9.  536972 

A  CQ 

10.  463028 

60 

1 

2 
3 
4 
5 
6 

.  513009 
.  513375 
.  513741 
.  514-107 
.  514472 
.  514837 

D.  1  - 

6.10 
6.10 
6.10 
6.08 
6.08 
A  no 

.  975627 
.975583 
.  975539 
.  975496 
.  975452 
.  975408 

[73 

.73 
.72 
.73 
.73 

.  537382 
.  537792 
.  538202 
.538611 
.539020 
.  539429 

O.  Oo 

6.83 
6.83 
6.82 
6.82 
6.82 
6on 

.  462618 
.  46220S 
.  461798 
.  461389 
.  460980 
.  460571 

59 
58 
57 
56 
55 
54 

7 
8 
9 

.  515202 
.  515566 
.  515930 

0.  Uo 

6.07 
6.07 

A  H7 

.  975365 
.  975321 
.  975277 

'.73 
.73 

70 

.  539837 
.  540245 
.540653 

•  oU 
6.80 
6.80 
A  cn 

.  4601  G3 
.  459755 
.  459347 

53 

52 
51 

10 

.  516294 

U.  U/ 

6.05 

.975233 

.  to 
.73 

.541061 

O.  oU 
6.78 

.  458939 

50 

11 
12 
13 
14 
15 
16 
17 

9.  516657 
.  517020 
.  517382 
.  517745 
.  518107 
.  518468 
.  518829 

6.05 
6.03 
6.05 
6.03 
6.02 
6.02 
A  no 

9.  975189 
.  975145 
.  975101 
.  975057 
.  975013 
.  974969 
.  974925 

.73 
.73 
.73 
.73 
.73 
.73 

7fr 

9.  541468 
.  541875 
.542281 
.  542088 
.543094 
.  543499\ 
.  543905\ 

6.78 
6.77 
6.78 
6.77 
6.75 
6.77 

10.  458532 
.  458125 
.  457719 
.  457312 
.  456906 
.  456501 
.  456095 

49 
48 
47 
46 
45 
44 
43 

18 
19 

.  519190 
.  519551 

o.  UJ 
6.02 
A  fin 

.  974880 
.  974836 

.  to 
.73 

70 

.544310 
.  544715 

v  6.  75 
\  6.75 

.  455690 
.  455285 

42 
41 

20 

.  519911 

u.  UU 
6.00 

.  974792 

.  to 

.73 

.545119 

«!S 

.  454881 

40 

21 
22 

9.  520271 
.  520631 

6.00 

5QC 

9.  974748 
.  974703 

.75 

70 

9.  545524 
.  545928 

6.73 

ff   7Q 

10.  454476 
.  454072 

39 
38 

23 

.520990 

.  yo 

.  974659 

.  16 

.546331 

O.  (2 

.  4536G9 

37 

24 

.  521349 

5.  98 

5Q7 

.  974614 

.  75 
70 

.  546735 

6.  73 

A  79 

.  453265 

36 

25 

.  521707 

.  y/ 

5QO 

.  974570 

.  id 

<7f. 

.  547138 

O.  t  Z 

.  452862 

35 

26 

.  522066 

.  *7O 

5Q7 

.  974525 

.  /O 

.547540 

6.  70 

A  79 

.  452460 

34 

27 

28 
29 

.  522424 
.522781 
.  523138 

.  y/ 
5.95 
5.95 

5QC 

.  974481 
.  974436 
.  974391 

!75 
.75 

70 

.  547943 
.  548345 
.  548747 

0.  t  £ 

6.70 
6.70 

.  452057 
.  451655 
.  451253 

33 
32 
31 

30 

.  523495 

.  yo 
5.95 

.  974347 

.  to 

.75 

.  549149 

a  as 

.450851 

30 

31 
32 

9.  523852 
.  524208 

5.93 

9.  974302 
.  974257 

.75 

9.549550 
.  549951 

6.68 

10.  450450 

.  450049 

29 

28 

33 
34 
35 
36 
37 

.524564 
.  524920 
.  525275 
.525630 
.  525984 

5.  93 
5.93 
5.92 
5.92 
5.90 

.  974212 
.  974167 
.  974122 
.  974077 
.  974032 

.  75 
.75 
.75 
.75 
.75 

.550352 
.550752 
.551153 
.551552 
.  551952 

6.  68 
6.67 
6.68 
6.65 
6.67 

6ACC 

.  449648 
.  449248 
.  448847 
.  448448 
.  448048 

27 
26 
25 
24 
23 

38 
39 

.526339 
.  526693 

5.'  90 

.  973987 
.  973942 

•  75 

.75 

7C 

.552351 
.  552750 

•  UO 

6.65 

6CC 

.  447649 
.  447250 

22 
21 

40 

.  527046 

5^90 

.  973897 

.  to 
.75 

.  553149 

.  UO 

6.65 

.446851 

20 

41 

9.  527400 

9.  973852 

7C 

9.  553548 

A  TQ 

10.  446452 

19 

42 

.  527753 

5.  88 

507 

.  973807 

.  to 

77 

.  553946 

D.  UO 
A  AQ 

.446054 

18 

43 

.  528105 

.  ot 

500 

.  973761 

•  •it 

7C 

.  554344 

0.  UO 

.445656 

17 

44 
45 
46 
47 
48 
49 
50 

.  528458 
.528810 
.  529161 
.  529513 
.  529864 
.530215 
.530565 

.  oo 
5.87 
5.85 
5.87 
5.85 
5.85 
5.83 
5.83 

.  973716 
.  973671 
.  973625 
.  973580 
.  973535 
.  973489 
.  973444 

.  to 
.75 

.77 
.75 
.75 
.77 
.75 
.77 

.  554741 
.555139 
.555536 
.555933 
.556329 
.  556725 
.  557121 

6^63 
6.62 
6.62 
6.60 
6.60 
6.60 
6.60 

.  445259 
.  444861 
.  444464 
.  444067 
.  443671 
.  443275 
.  442879 

16 
15 
14 
13 
12 
11 
10 

51 
52 
53 
54 

9.  530915 
.  531265 
.531614 
.531963 

5.83 
5.82 
5.82 

5Q9 

9.  973398 
.  973352 
.  973307 
.  973261 

.77 
.75 

.77 

77 

9.  557517 
.  557913 
.  558308 
.  558703 

6.60 
6.58 
6.58 

A  K7 

10.  442483 
.  442087 
.  441692 
.  441297 

9 

8 
7 
6 

55 
56 

.  532312 
.  532661 

•  XM 

5.82 
Sen 

.  973215 
.  973169 

•  ii 

.77 

.559097 
.  559491 

U.  O/ 

6.57 

A  £7 

.  440903 
.440509 

5 
4 

57 
58 
59 

.  533009 
.  533357 
.  533704 

.  oU 

5.80 
5.78 

5  on 

.  973124 
.  973078 
.  973032 

'.77 
.77 

77 

.  559885 
.  560279 
.  560673 

D.  Ot 

6.57 
6.57 

A  ££ 

.440115 
.  439721 
.  439327 

3 
2 
1 

60 

9.  534052 

.  oU 

9.  972986 

.  /  / 

9.  561066 

O.  OO 

10.  438934 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

109 c 


7O° 


146 


TANGENTS,  AND  COTANGENTS. 


159 ( 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 

9.  534052 
.  534399 
.  534745 

5.78 
5.77 

57Q 

9.  972986 
.  972940 

.  972894 

.77 
.77 
77 

9.  561066 
.  501459 
.  561851 

6.55 
6.53 

A  KC 

10.  438934 

.  438541 
.  438149 

GO 
59 
58 

3 

.  535092 

.  IO 

.  972848 

77 

.  562244 

O.  OO 

£*  CO 

.  437756 

57 

4 

.  535438 

5.  77 

.  972802 

,11 
7O 

.  56263G 

D.  Oo 

6  CO 

.  4373G4 

56 

5 

.  5.'35783 

5.  75 

.  972755 

.  IO 

.  /7 

.563028 

.  OO 

.  436972 

55 

6 

.  536129 

5.  77 

.  972709 

77 

.  503419 

6  pro 

.  436581 

54 

7 

.  536474 

5.  75 

579. 

.  972G63 

.  /  / 
77 

.563811 

.  Oo 
a  co 

.  436189 

53 

8 

.  536818 

.  /o 

.972617 

.  /  / 
7Q 

.  564202 

O.  O-6 

.  435798 

52 

9 

.  537103 

5.  75 

5   MO 

.  972570 

.  IO 

77 

.  5G4593 

C\  ^0 

.  435407 

51 

10 

.537507 

.  i  •• 

5.73 

.  972524 

.  564983 

O.  OU 

6.50 

.  435017 

50 

11 

9.  537851 

57O 

9.  972478 

78 

9.  5G5373 

6  ^n 

10.  434G27 

49 

12 

.  538194 

.  tZ 

.  972431 

.  IO 
77 

.  5G57G3 

D.  OU 

.  434237 

48 

13 

.  538538 

5.  73 

f  7Q 

.  972385 

•  /  / 

7ft 

.  566153 

648. 

.  433847 

47 

14 
15 

.538880 
.  539223 

5^72 

.  972338 
.  972291 

.  lo 

.78 

77 

.566542 
.  566932 

.  T1O 

'6.50 

,   .  433458 
.  4330G8 

46 
45 

10 
17 
18 

.  539565 
.  539907 
.  540249 

5.  70 
5.70 
5.68 

.  972245 
.  972198 
.  972151 

.11 

.78 
.78 

.  567320 
.  567709 
.568098 

6.  47 
6.48 
6.48 

A  47 

.  432680 
.  432291 
.  431902 

44 
43 
42 

19 
20 

.  540590 
.  540931 

5!  68 
5.68 

.  972105 
.  972058 

i78 
.78 

.  568486 
.508873 

O.  3i 

6.45 
6.47 

.431514 
.  431127 

41 
40 

21 

9.541272 

5/10 

9.  972011 

9.  569261 

6,|C 

10.  430739 

39 

22 
23 

24 
25 

.  541613 
.  541953 
.  542293 
.  542G32 

.  Go 
5.67 
5.67 
5.65 

.  9719G4 
.  971917 
.  971870 
.  971823 

.78 
.78 
.78 

.509(148 
.  570035 
.  570422 
.  570809 

.  4o 

6.45 
6.45 
6.45 

.  430352 
.  429965 
.  429578 
.  429191 

38 
37 
36 
35 

26 
27 
28 
29 
30 

.  542971 
.  543310 
.  543G49 
.  543987 
.  544325 

5.  65 
5.65 
5.65 
5.63 
5.63 
5.63 

.  971776 
.  971729 
.  971GS2 
.  971635 
.  971588 

.78 
.78 
.78 
.78 
.78 
.80 

.571195 
.  571581 
.  571967 
.  572352 

.  572738 

6.  43 
6.43 
6.43 
6.42 
6.43 
6.42 

.  428805 
.  428419 
.  428033 
.  427648 
.  427262 

34 

33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  544663 
.  545000 
.  545338 
.  545674 
.  546011 
.  546347 
.  546683 
.  547019 
.547354 
.  547689 

5.62 
5.63 
5.60 
5.62 
5.60 
5.60 
5.60 
5.58 
5.58 
5.58 

9.  971540 
.  971493 
.  971446 
.  971398 
.  971351 
.  971303 
.  971256 
.  971208 
.971161 
.971113 

.78 
.78 
.80 
.78 
.80 
.78 
.80 
.78 
.80 
.78 

9.573123 
.  573507 
.  573892 
.  574276 
.  574660 
.575044 
.  575427 
.  575810 
.  576193 
.  .576576 

6.40 
6.42 
6.40 
6.40 
6.40 
6.3S 
6.38 
6.38 
6.38 
6.38 

10.  426877 
.  426493 
.  426108 
.  425724 
.  425340 
.  424956 
.  424573 
.  424190 
.  423807 
.423424 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
40 
47 

9.  548024 
.  548359 
.  548693 
.  549027 
.  549360 
.  549693 
.550026 

5.58 
5.57 
5.57 
5.55 
5.55 
5.55 

9.  971066 
.  971018 
.  970970 
.  970922 
.  970874 
.  970827 
.  970779 

.80 
.80 
.80 
.80 
.78 
.80 

Of\ 

9.576959 
.  577341 
.577723 
.  578104 
.  578486 
.  578867 
.  579248 

6.37 
6.37 
6.35 
6.37 
6.35 
6.35 

A  9.rc 

10.  423041 
.422659 
.  422277 
.  421896 
.421514 
.  421133 
.  420752 

19 
18 
17 
16 
15 
14 
13 

48 

.  550359 

5.  55 

5r  r 

.  970731 

.  o(J 

.579629 

O.  OO 
f\  °/i 

.  420371 

12 

49 
50 

.  550G92 
.  551024 

.  Oo 
5.53 
5.53 

.970683 
.  970635 

'.80 

.82 

.580009 
.  580389 

O.  oo 

6.33 
6.33 

.  419991 
.419611 

11 
10 

51 
52 
53 
54 

9.  551356 
.551687 
.  552018 
.552349 

5.52 
5.52 
5.52 

9.  970586 
.  970538 
.  970490 
.  970442 

.80 
.80 
.80 

on 

9.  5807G9 
.581149 
.  581528 
.  581907 

6.33 
6.32 
6.32 

/?  OO 

10.  419231 
.418851 
.  418472 
.  418093 

9 
8 

7 
6 

55 
56 
57 
58 
59 

.  552680 
.  553010 
.  553341 
.  553670 
.  554000 

5.  52 
5.50 
5.52 
5.48 
5.50 

.  970394 
.  970345 
.  970297 
.  970249 
.  970200 

.  8U 
.82 
.80 
.80 
.82 

.  582286 
.  582665 
.  583044 
.583422 
.583800 

O.  OA 

6.32 
6.32 
6.30 
6.30 

A  Oft 

.  417714 
.  417335 
.  416956 
.  416578 
.  416200 

5 
4 
3 
2 
1 

GO 

9.  554329 

5.  48 

9.  970152 

.80 

9.  584177 

O.  Zo 

10.  415823 

0 

r 

Cosine. 

D  1". 

Sine. 

D.  I". 

Cotang. 

D.  I". 

Tang. 

' 

110° 


69 


147 


21' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


158< 


' 

Sine. 

D.  I". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

9.554329 

.  554658 

5.48 

9.  970152 
.  970103 

.82 

9.584177 
.  584555 

6.30 

10.  415823 
.  415445 

60 

59 

2 
3 

.  554987 
.  555315 

5.  48 
5.47 

.970055 
.  970006 

.  80 
.82 

.584932 
.  585309 

6.28 
6.28 

A  OW 

.  415008 
.  414691 

58 
57 

4 
5 
6 

.  555643 
.555971 
.  556299 

5^47 
5.47 

5AR 

.  969957 
.  969909 
.  969860 

!so 

.82 

.  585686 
.  586062 
.586439 

D.  Zo 

6.27 
6.28 

A  O7 

.414314 
.  413938 
.  413561 

56 
55 
54 

7 
8 
9 
10 

.  556626 
.  556953 
.  557280 
.  557606 

,  4o 

5  45 
5.45 
5.43 
5.43 

.  969811 
.  969762 
.  969714 
.  969665 

'.82 
.80 
.82 

.82 

.  586815 
.  587190 
.  587566 
.587941 

O.  Zt 

6.25 
6.  27 
6.25 
6.25 

.  413185 
.  412810 
.  412434 
.  412059 

53 
52 
51 

50 

11 
12 
13 

9.  557932 

.  558258 
.558583 

5.43 
5.42 

C  A'l 

9.  969616 
.  969567 
.  969518 

.82 
.82 

9.  588316 
.  588691 
.  589066 

6.25 
6.25 

60O 

10.411684 
.  411309 
.  410934 

49 
48 
47 

14 
15 
16 

.  558909 
.  559234 
.  559558 

O.  4o 

5.42 
5.40 

.  969469 
.  969420 
.  969370 

!82 
.83 

OO 

.  589440 
.  589814 
.  590188 

.  Zo 

6.23 
6.23 

.  410560 
.  410186 
.  409812 

46 
45 
44 

17 
18 
19 
20 

.  559883 
.560207 
.  560531 
.560855 

5!  40 
5.40 
5.40 
5.38 

.  969321 
.  969272 
.  969223 
.  969173 

.  'N  .- 

.82 
.82 
.83 

.82 

.  590562 
.590935 
.  591308 
.  591681 

6!  22 
6.22 
6.22 
6.22 

.  409438 
.  409065 
.  408692 
.  408319 

43 
42 
41 
40 

21 
22 
23 
24 
25 
26 

9.561178 
.  561501 
.561824 
.562146 
.  562468 
.  562790 

5.38 
6.38 
5.37 
5.37 
5.37 

c  07 

9.  969124 
.  969075 
.  969025 
.  968976 
.  968926 
.968877 

.82 
.83 
.82 
.83 
.82 

00 

9.  592054 
.  592426 
.  592799 
.  593171 
.  593542 
.593914 

6.20 
6.22 
6.20 
6.18 
6.20 

61  ft 

10.  407946 
.  407574 
.  407201 
.  406829 
.  40045s 
.  406086 

39 
38 
37 
36 
35 
34 

27 
28 
29 
30 

.563112 
.  563433 
.  563755 
.564075 

0.  ot 

5.35 
5.37 
5.33 
5.35 

.968827 
.  968777 
.  968728 
.  968678 

.  OO 

.83 
.82 
.83 

.83 

.  594285 
.  594656 
.595027 
.  595398 

.  lo 

6.18 
6.18 
6.18 
6.17 

.  405715 
.  405344 
.  404973 
.  404602 

33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 

9.  564396 
.  564716 
.  565036 
.565356 
.  565676 
.565995 
.566314 
.  566632 

5.33 
5.33 
5.33 
5.33 
5.32 
5.32 
5.30 

50O 

9.  968628 
.968578 
.968528 
.  968479 
.968429 
.968379 
.968329 
.  968278 

.83 
.83 
.82 
.83 
.83 
.83 
.85 

OO 

9.  595768 
.  596138 
.596508 
.596878 
.  597247 
.  597616 
.  597985 
.  598354 

6.17 
6.17 
6.17 
6.15 
6.15 
6.15 
6.15 

61  Q 

10.  404232 
.  403862 
.  403492 
.  403122 
.  402753 
.  402384 
.  402015 
.  401646 

29 
28 
27 
26 
25 
24 
23 
22 

39 
40 

.  566951 
.  567269 

*  '  »- 

5.30 
5.30 

.  968228 
.  968178 

.  OO 

.83 

.83 

.  598722 
.599091 

.  lo 

6.15 
6.13 

.  40127S 
.  400909 

21 
20 

41 
42 
43 
44 

9.  567587 
.  567904 
.  568222 
.568539 

5.28 
5.30 

5.28 

5OQ 

9.  968128 
.  968078 
.  968027 
.  967977 

.83 
.85 
.83 

OO 

9.  599459 
.  599827 
.  600194 
.  600562 

6.13 
6.12 
6.13 

61  O 

10.  400541 
.  400173 
.  399806 
.  399438 

19 
18 
17 
16 

45 
46 
47 

.568856 
.  569172 
.569488 

.  Jo 
5.27 
5.27 

5O7 

.  967927 
.  967876 
.  967826 

.  oo 
.85 
.83 

Qf 

.600929 
.  601296 
.  601663 

.  \.Z 
6.12 
6.12 

61  f\ 

.  399071 
.  398704 
.  398337 

15 
14 
13 

48 
49 
50 

.  569804 
.  570120 
.  570435 

.  2,1 
5.27 
5.25 
5.27 

.  967775 
.  967725 
.  967674 

.  OO 

.83 
.85 
.83 

.602029 
.  602395 
.602761 

.  1U 

6.10 
6.10 
6.10 

.  397971 
.  397605 
.  397239 

12 
11 
10 

51 
52 

9.  570751 
.571066 

5.25 

5OQ 

9.  967624 
.  967573 

.85 

QC 

9.  603127 
.  603493 

6.10 

A  nc 

10.  396873 
.  396507 

9 

8 

53 
54 

.  571380 
.  571695 

.  Jo 

5.25 

.  967522 
.  967471 

.  OO 

.85 

OO 

.603858 
.604223 

o.  Uo 
6.08 
A  nc 

.396142 
.  395777 

7 
6 

55 

.572009 

5OQ 

.  967421 

.  OO 

CK 

.  604588 

D.  Uo 

A  nc 

.  395412 

5 

56 
57 
58 
59 
60 

.  572323 
.  572636 
.  572950 
.  573203 
9.  573575 

.  Jo 
5.22 
5.23 
5.22 
5.20 

.  967370 
.967319 
.  967268 
.967217 
9.  967166 

.  OO 

.85 
.85 
.85 
.85 

.  604953 
.  605317 
.605682 
.  606046 
9.  606410 

O.  Uo 

6.07 
6.08 
6.07 
6.07 

.  395047 
.  394683 
.394318 
.  393954 
10.  393590 

4 
3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

111 


68' 


148 


22' 


TANGENTS,  AND  COTANGENTS. 


157e 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Co  tang. 

' 

0 

1 

9.573575 

.  573888 

5.22 

9.  967166 
.967115 

.85 

9.  606410 
.606773 

6.05 

6(VJ 

10  393590 
.  393227 

60 
59 

2 
3 
4 
5 
6 
7 
8 
9 
10 

.  574200 
.  574512 
.  574824 
.  575136 
.  575447 
.  575758 
.  5760G9 
.  576379 
.  576689 

5.  20 
5.20 
5.20 
5.20 
5.18 
5.18 
5.18 
5.17 
5.17 
5.17 

.  967064 
.  967013 
.  966961 
.  966910 
.  966859 
.  966808 
.  966756 
.  966705 
.  966653 

.  85 

.85 
.87 
.85 
.85 
.85 
.87 
.85 
.87 
.85 

.  607137 
.607500 
.  607863 
.  608225 
.  608588 
.  608950 
.  609312 
.  609674 
.  610036 

.  u/ 
6.05 
6.05 
6.03 
6.05 
6.03 
6.03 
6.03 
6.03 
6.02 

.  392863 
.  392500 
.  392137 
.  391775 
.  391412 
.391050 
.  390688 
.  390326 
.  389964 

58 
57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.  576999 
.  577309 
.  577618 
.  577927 
.  578236 
.  578545 
.578853 
.  579162 
.  579470 
.  579777 

5.17 
5.15 
5.15 
5.15 
5.15 
5.13 
5.15 
5.13 
5.12 
5.13 

9.  966602 
.  966550 
.  966499 
.  966447 
.  966395 
.  966344 
.  966292 
.  966240 
.  966188 
.  966136 

.87 
.85 
.87 
.87 
.85 
.87 
.87 
.87 
.87 
.85 

9.  610397 
.  610759 
.611120 
.  611480 
.  611841 
.  612201 
.  612561 
.  612921 
.  613281 
.  613641 

6.03 
6.02 
6.00 
6.02 
6.00 
6.00 
6.00 
6.00 
6.00 
5.98 

10.  389603 
.  389241 
.  388880 
.388520 
.  388159 
.  387799 
.  387439 
.387079 
.  386719 
.386359 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 

9.  580085 

5  1O 

9.  966085 

Q7 

9.614000 

5QO 

10.  386000 

39 

22 
23 

.  580392 
.  580699 

.  \.& 

5.12 
51  n 

.  966033 
.  965981 

•  O/ 

.87 

C7 

.  614359 
.  614718 

.  yo 
5.98 

5QQ 

.  385641 
.  385282 

38 
37 

24 
25 
26 
27 

28 

.581005 
.581312 
.  581618 
.  581924 
.  582229 

.  1U 
5.12 
5.10 
5.10 
5.08 
51  n 

.  965929 
.  965876 
.  965824 
.  965772 
.  965720 

.  o/ 

.88 
.87 
.87 
.87 

O7 

.  615077 
.  615435 
.  615793 
.  616151 
.  616509 

.  yo 

5.97 
5.97 
5.97 
5.97 

5O7 

.  384923 
.  384565 
.  384207 
.  383849 
.  383491 

36 
35 
34 
33 
32 

29 

.  582535 

.  J.U 
5nc 

.  965668 

•  Of 

OQ 

.  616867 

.  y/ 

5  or 

.383133 

31 

30 

.  582840 

.  Uo 
5.08 

.  965615 

.  00 

.87 

.  617224 

.  yo 
5.97 

.  382776 

30 

31 
32 

9.  583145 
.  583449 

5.07 

9.  965563 
.  965511 

.87 

9.  617582 
.  617939 

5.95 

5  no 

10.  382418 
.  3820(51 

29 
28 

33 

.  583754 

5.  08 

5/Y7 

.  965458 

.  88 

Q7 

.  618295 

.  yo 

5QC 

.  381705 

27 

34 

.584058 

.  U/ 

.  965406 

.  Oi 

CO 

.  618652 

.  yo 

5QO 

.381348 

26 

35 
36 
37 

.  584361 
.  584665 
.  584968 

5.  05 
5.07 
5.05 

5A7 

.965353 
.  965301 

.  965248 

.  88 
.87 
.88 

go 

.619008 
.  619364 
.  619720 

.  yo 
5.93 
5.93 

5  no 

.  380992 
.  380636 
.  380280 

25 
24 
23 

38 

.  585272 

.  U/ 

.  965195 

.  OO 

.  620076 

.  yo 

.  379924 

22 

39 

.  585574 

5.03 

5fkC 

.  965143 

.87 

OO 

.  620432 

5.  93 

509 

.  379568 

21 

40 

.  585877 

.  Uo 
5.03 

.965090 

.  OO 

.88 

.  620787 

.  yz 
5.92 

.  379213 

20 

41 

9.586179 

9.  965037 

QQ 

9.621142 

5(V> 

10.  378858 

19 

42 

.  586482 

5.  05 
5  no 

.  964984 

.  00 
on 

.  621497 

.  VrJ 

5QO 

.  378503 

18 

43 

44 

.  586783 
.  587085 

.  \}£ 
5.03 
5  no 

.  964931 
.  964879 

.  OO 

.87 

CO 

.  621852 
.  622207 

.  y^ 
5.92 

Son 

.  378148 
.  377793 

17 
16 

45 

.  587386 

.  \j£ 

K  HO. 

.  964826 

.  OO 
00 

.  622561 

.  yu 

5  on 

.  377439 

15 

46 

.587688 

o.  Uo 

.  964773 

.  00 

.  622915 

.  yu 

.  377085 

14 

47 

.587989 

5.  02 
5ni\ 

.  964720 

.  88 

on 

.  623269 

5.  90 
5  on 

.  376731 

13 

48 

.  588289 

.  UU 

.  964666 

.  yu 

CO 

.  623623 

.  yu 

.376377 

12 

49 

.588590 

5.  02 

.  964613 

.  oo 

.  623976 

5.  88 

.376024 

11 

50 

.588890 

5.  00 
5.00 

.  964560 

.  88 
.88 

.  624330 

5.  90 

5.88 

.  375670 

10 

51 

9.  589190 

4  no 

9.  964507 

9.  624683 

10.  375317 

9 

52 

.  589489 

.  98 

.  964454 

.  88 

.  625036 

5.  88 

.  374964 

8 

53 
54 

.  589789 
.590088 

5.  00 

4.98 

4QQ 

.  964400 
.  964347 

.  90 

.88 

go 

.  625388 
.  625741 

5.  87 

5.88 

5Q7 

.374612 
.  374259 

7 
6 

55 

.590387 

.  yo 

4QO 

.  964294 

.  oo 

on 

.  626093 

.  Of 
507 

.  373907 

5 

56 

.  590686 

.  "o 
4  Q7 

.  964240 

.  yu 

00 

.  626445 

.  o/ 
c  07 

.  373555 

4 

57 

.  590984 

*±.  y/ 

.  964187 

.  oo 

.  626797 

O.  01 

.  373203 

3 

58 

.591282 

4.  97 

.  964133 

.  90 

.  627149 

5.  87 

.372851 

2 

59 
60 

.  591580 
9.  591878 

4.  97 
4.97 

.  964080 
9.  964026 

.88 
.90 

.  627501 
9.  627852 

5.  87 
5.85 

.  372499 
10.  372148 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Co  tang. 

D.  1". 

Tang. 

' 

112° 


67' 


149 


23  < 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


156° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.591878 

4Q7 

9.  964026 

f\f\ 

9.  627852 

5   QC 

10.372148 

60 

1 

.592176 

.  y/ 

4  nr 

.  963972 

.  yu 

go 

.  628203 

.  OO 
c  or 

.  371797 

59 

2 
3 
4 

.  592473 
.  592770 
.  593067 

.  yo 
4.95 
4.95 

4QO 

.  963919 
.  863865 
.963811 

.  OO 

.90 
.90 
on 

.  628554 

o.  oo 
5.85 
5.83 

5  Or 

.371446 
.  371095 
.  370745 

58 
57 
56 

5 

.593363 

.  y<5 

.  963757 

.  yu 

!  629606 

.  oO 

.  370394 

55 

6 

7 

.593659 
.593955 

4.  93 

4.93 

4QO 

.  963704 
.963650 

.88 
.90 
on 

.  629956 
.630306 

5.  83 
5.83 

500 

.  370044 
.  369694 

54 
53 

8 
9 
10 

.  594251 
.  594547 
.  594842 

.  yo 
4.93 
4.92 
4.92 

.963596 
.963542 
.963488 

•  yu 
.90 
.90 
.90 

.630656 
.  631005 
.631355 

.  OO 

5.82 
5.83 
5.82 

.  369344 
.  368995 
.  368645 

52 
51 
50 

11 
12 
13 
14 
15 
16 
17 

9.595137 
.  595432 
.595727 
.596021 
.  596315 
.  596609 
.  596903 

4.92 
4.92 
4.90 
4.90 
4.90 
4.90 

4  OD 

9.  963434 
.  963379 
.  963325 
.  963271 
.963217 
.963163 
.  963108 

.92 
.90 
.90 
.90 
.90 
.92 
on 

9.  631704 
.  (>32053 
.  632402 
.  632750 
.633099 
.  633447 
.633795 

5.82 
5.82 
5.80 
5.82 
5.80 
5.80 

r  on 

10.  3682% 
.  367947 
.  367598 
.  367250 
.  366901 
.  366553 
.  366205 

49 
48 
47 
46 
45 
44 
43 

18 
19 

.597196 
.597490 

.  OO 

4.90 

4GQ 

.963054 
.  962999 

.  yu 
.92 
on 

.  634143 
.  634490 

O.  oU 

5.78 

C  Oft 

.365857 
.  365510 

42 
41 

20 

.  597783 

.  OO 

4.87 

.  962945 

.  yu 
.92 

.634838 

O.  OU 

5.78 

.  365162 

40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  598075 
.598368 
.  598660 
.598952 
.599244 
.  599536 
.  599827 
.600118 
.600409 
.600700 

4.88 
4.87 
4.87 
4.87 
4.87 
4.85 
4.85 
4.85 
4.85 
4.83 

9.  962890 
.  962836 
.  962781 
.  962727 
.  962672 
.  962617 
.  962562 
.  962508 
.  962453 
.  962398 

.90 
.92 
.90 
.92 
.92 
.92 
.90 
.92 
.92 
.92 

9.  635185 
.635532 
.635879 
.636226 
.  636572 
.636919 
.637265 
.637611 
.  637956 
.638302 

5.78 
5.78 
5.78 
5.77 
5.78 
5.77 
5.77 
5.75 
5.77 
5.75 

10.  364815 
.  364468 
.  364121 
.  363774 
.  363428 
.  363081 
.  362735 
.  362389 
.  362044 
.  361698 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 

9.600990 

A  QQ 

9.  962343 

OO 

9.638647 

5ije 

10.  361353 

29 

32 
33 
34 
35 

.  601280 
.  601570 
.  601860 
.602150 

4.  oo 
4.83 
4.83 
4.83 

A  CO 

.  962288 
.  962233 
.  962178 
.  962123 

.  92 
.92 
.92 
.92 

OQ 

.638992 
.639337 
.639682 
.640027 

.  iO 

5.75 
5.75 
5.75 

c  70 

.  361008 
.  360663 
.360318 
.  359973 

28 
27 
26 
25 

36 

.  602439 

4.  o/ 

4  CO 

.  962067 

•  .  '  -  > 
OO 

.640371 

O.  /O 

r  7K 

.  359629 

24 

37 
38 
39 
40 

.602728 
.  603017 
.  603305 
.603594 

.  o2 
4.82 
4.80 
4.82 
4.80 

.  962012 
.  961957 
.  961902 
.  961846 

.  v2 
.92 
.92 
.93 
.92 

.  640716 
.  641060 
.  641404 
.  641747 

O.  /O 

5.73 
5.73 
5.72 
5.73 

.  359284 
.  358940 
.  358596 
.  358253 

23 
22 
21 
20 

41 
42 
43 

9.  603882 
.  604170 
.  604457 

4.80 

4.78 
4  on 

9.  961791 
.  961735 
.  961680 

.93 

.92 

QO 

9.642091 
.  642434 

.  642777 

5.72 
5.72 

r  70 

10.  357909 
.  357566 
.  357223 

19 
18 
17 

44 
45 
46 

47 
48 

.  604745 
.605032 
.  605319 
.  605606 
.605892 

.  oU 

4.78 
4.78 
4.78 
4.77 

.  961624 
.  961569 
.  961513 
.  96145S 
.  961402 

.  y*5 
.92 
.93 
.92 
.93 

.  643120 
.  643463 
.  643806 
.  644148 
.  644490 

O.  iZ 

5.72 
5.72 
5.70 
5.70 
r  7A 

.356880 
.356537 
.356194 
.  355852 
.355510 

16 
15 
14 
13 
12 

49 
50 

.606179 
.606465 

4.  78 
4.77 

4.77 

.  961346 
.  961290 

.  93 
.93 
.92 

.  644832 
.  645174 

O.  i(j 

5.70 
5.70 

.355168 

.  354826 

11 
10 

51 

9.  606751 

47.rr 

9.  961235 

no 

9.  645516 

5  AC 

10.  354484 

9 

52 

.  607036 

.  /O 

477 

.  961179 

.  "o 

OQ 

.  645857 

.  Uo 
r  nr\ 

.354143 

8 

53 

.  607322 

•  1  / 

.961123 

.  yo 

.  646199 

O.  *U 

S/'O 

.  353S01 

7 

54 

.607607 

4.  75 

47K 

.  961067 

.  93 

OQ 

.  646540 

.  OO 

5t\Q 

.353460 

6 

55 

.  607892 

.  Id 

47FC 

.961011 

.  •  '•} 
o*> 

.646881 

.  Oo 

r  £Q 

.353119 

5 

56 

57 
58 

.608177 
.  608461 
.  608745 

.  /O 

4.73 
4.73 

.  960955 
.  960899 
.  960843 

.  yo 
.93 
.93 

.  647222 
.  647562 
.  647903 

O.  Oo 

5.67 
5.68 

5/;7 

.  352778 
.  352438  ' 
.  352097 

4 
3 
2 

59 

.  609029 

4.  73 

.  960786 

.  95 

.  648243 

.  ol 

5/*7 

.  351757 

1 

60 

9.  609313 

4.  73 

9.  960730 

.  93 

9.  648583 

.  O/ 

10.351417 

0 

( 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang 

D.  I". 

Tang. 

' 

113 


66° 


150 


TANGENTS  AND  COTANGENTS. 


155° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  609313 

479 

9.  960730 

" 

9.  648583 

10.  351417 

60 

1 

.  609597 

.  /O 

47O 

.  960674 

Q9 

.  648923 

5.  67 

5f>7 

.  351077 

59 

2 
3 

.609880 
.  610164 

.  <  1- 

4.73 

47O 

.  960618 
.  960561 

!95 

.  649263 
.649602 

.  u/ 
5.65 

5A7 

.  350737 
.  350398 

58 
57 

4 

.  610447 

.  i£ 

.  960505 

*• 

.  649942 

.  O* 

.350058 

56 

5 

.  610729 

4.  /O 
4  79 

.  960448 

'  Q^ 

.650281 

5.  65 

.349719 

55 

6 

.611012 

3.  i£ 
47rt 

.  960392 

.  yo 

QC 

.  650620 

5  or 

.  349380 

54 

7 

.611294 

.  t(J 

A  7n 

.  960335 

.  yo 

.  (550959 

.  OO 

.  349041 

53 

8 

.611576 

4.  /(J 

.  960279 

f\K 

.  651297 

5.  63 

5cr 

.  348703 

52 

9 
10 

.611858 
.  612140 

4^70 
4.68 

.  960222 
.960165 

.  yo 
.95 
.93 

.651636 
.  651974 

.  OO 

5.63 
5.63 

.  348364 
.  348026 

51 
50 

11 
12 
13 
14 

9.  612421 
.  612702 
.  612983 
.  613264 

4.68 
4.68 
4.68 

9.  960109 
.  960052 
.  959995 
.  959938 

.95 
.95 
.95 

9.  652312 
.652650 
.  652988 
.  653326 

5.63 
5.63 
5.63 

10.  347688 
.  347350 
.347012 
.  346674 

49 
48 
47 
46 

15 
16 

.  613545 
.  613825 

4.  68 
4.67 
4  (\7 

.  959882 
.  959825 

.  93 
.95 

QC 

.  6536(53 
.654000 

5.  62 

5.62 

5AO 

.  346337 
.  346000 

45 
44 

17 
18 
19 
20 

.  614105 
.614385 
.  614665 
.614944 

3.  O/ 

4.67 
4.67 
4.65 
4.65 

.  959768 
.959711 
.  959654 
.  959596 

*  yo 
.95 
.95 
.97 
.95 

.  654337 
.  (554674 
.655011 
.  655348 

.  oJ 
5.62 
5.62 
5.62 
5.60 

.  345663 
.  345326 
.  344989 
.  344652 

43 
42 
41 
40 

21 

22 

9.  615223 
.  615502 

4.65 

9.  959539 
.  959482 

.95 

9.  655684 
.656020 

5.60 

10.  344316 
.  343980 

39 
38 

23 
24 
25 
26 
27 
28 
29 
30 

.  615781 
.  6160(50 
.  616338 
.  61661(5 
.616894 
.617172 
.  617450 
.  617727 

4.65 
4.63 
4.63 
4.63 
4.63 
4.63 
4.62 
4.62 

.  959425 
.  959368 
.  959310 
.  959253 
.  959195 
.  959138 
.959080 
.959023 

!95 
.97 
.95 
.97 
.95 
.97 
.95 
.97 

.656356 
.656692 
.  657028 
.  657364 
.657699 
.  658034 
.  658369 
.  658704 

5.  60 
5.60 
5.60 
5.60 
5.58 
5.58 
5.58 
5.58 
5.58 

.  343644 
.  343308 
.  342972 
.  342636 
.  342301 
.  341966 
.341631 
.  341296 

37 
36 
35 
34 
33 
32 
31 
30 

31 
32 

9.  618004 
.  618281 

4.62 

9.  958965 
.  958908 

.95 

Q7 

9.  659039 
.  659373 

5.57 

5  CO 

10.340961 
.  340627 

29 
28 

33 

.  618558 

A  f*fi 

.958850 

.  y/ 

(17 

.  659708 

.  on 

.  340292 

27 

34 

.  618834 

4.  l)U 

4m 

.  958792 

.  y/ 

.  660042 

5.  57 

.  339958 

26 

35 
36 
37 

.619110 
.  619386 
.  619662 

.  oU 
4,60 
4.60 

.  958734 
.  958677 
.  958619 

•  97 
.95 
.97 

.  660376 
.  660710 
.  661043 

5.  57 
5.57 
5.55 

.  339624 
.  339290 
.  338957 

25 
24 
23 

38 

.  619938 

4.  60 

4  CO 

.  958561 

.  97 

(17 

.  661377 

5.57 

.  338623 

22 

39 

40 

.  620213 
.  620488 

.  OS 

4.58 
4.58 

.  958.503 
.  958445 

.  y/ 
.97 
.97 

.  661710 
.  662043 

5.  55 
5.55 
5.55 

.  338290 
.  337957 

21 
20 

41 
42 
43 
44 
45 

9.  620763 
.  621038 
.  621313 

.  621587 
.  621861 

4.58 
4.58 
4.57 
4.57 

4r7 

9.  958387 
.  958329 
.  958271 
.  958213 
.  958154 

.97 
.97 

.97 
.98 

r\7 

9.  662376 
.  662709 
.  663042 
.  663375 
.  663707 

5.55 
5.55 
5.55 
5.53 

SCO 

10.  337624 
.  337291 
.  336958 
.  336625 
.  336293 

19 

18 
17 
16 
15 

46 

.  622135 

.  O/ 

4K7 

.  958096 

.  y* 

.  664039 

.  56 

5  CO 

.  335961 

14 

47 

.  622409 

.  O/ 

4   PC 

.  958038 

.  97 

.  664371 

.  53 

.  335629 

13 

48 
49 
50 

.  622682 
.  622956 
.  623229 

.  OO 

4.57 
4.55 
4.55 

.  957979 
.  957921 
.  957863 

!97 
.97 
.98 

.  664703 
.  665035 
.  665366 

5.  53 
5.53 
5.52 
5.53 

.  335297 
.  334965 
.  334634 

12 
11 

10 

51 

9.  623502 

4  pro 

9.  957804 

9.  665698 

K  CO 

10.  334302 

9 

52 

.  623774 

:.  OO 

4  err 

.  957746 

•  ^  ' 

.  666029 

O.  O4 

.  333971 

8 

53 
54 

.  624047 
.624319 

.  OO 

4.  53 

.  957687 
.  957628 

!98 

.  666360 
.  666691 

5.  52 
5.52 

.  333640 
.  333309 

7 
6 

55 

.  624591 

4.  53 

A  £.9 

.  957570 

.  97 

.  667021 

5.50 

.  332979 

5 

56 
57 

.  624863 
.  625135 

4.  Oo 

4.53 

.957511 
.  957452 

!98 

.  667352 
.  667682 

5.  52 
5.50 

.  332648 
.  332318 

4 
3 

58 
59 
60 

.  625406 
.  625677 
9.  625948 

4.  52 
4.  52 
4.52 

.  957393 
.  957335 
9.  957276 

.98 
.97 
.98 

.  668013 
.668343 
9.  668673 

5.52 
5.50 
5.50 

.  331987 
.331657 
10.  331327 

2 
1 

0 

' 

Cosine.   D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

114' 


65' 


151 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


154' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  625948 

A  SCO 

9.  957276 

O.Q 

9.  668673 

5AQ 

10.  331327 

60 

1 

.  626219 

4.  o£ 

.  957217 

.  yo 

no 

.669002 

.  4o 

.  330998 

59 

2 

.  626490 

*.  .  52 

,   CA 

.  957158 

.  yo 

(JO 

.  6(39332 

5.  50 

5AQ 

.330668 

58 

3 

.  626760 

.  OU 

rn 

.  957099 

.  yo 

no 

.  669661 

.  4o 

.  330339 

57 

4 

.  627030 

.  oU 

.  957040 

.  yo 

.  669991 

5.  50 

.330009 

56 

5 

.  627300 

^  .  50 

A    f^(\ 

.  956981 

.  98 
IAA 

.  670320 

5.  48 

5AQ 

.  329(580 

55 

6 

.  627570 

.  t)U 
4  e/\ 

.  956921 

.  uu 

no 

.  670649 

.  4o 
E  A*! 

.  329351 

54 

7 

.  627840 

.  oO 

A  AQ 

.  9568(52 

.  yo 

QC 

.  670977 

o.  4/ 

e  AQ 

.329023 

53 

8 

.  628109 

4.  4o 
4AQ 

.956803 

.  yo 

no 

.  671306 

O.  4o 

c  AQ 

.  328694 

52 

9 
10 

.  628378 
.  628647 

.  4o 

4.48 
4.48 

.  956744 
.  956684 

.  yo 
1.00 

.98 

.  671635 
.671963 

O.  4o 
5.47 
5.47 

.  328-365 
.  328037 

51 
50 

11 
12 
13 

9.  628916 
.  629185 
.  629453 

4.48 
4.47 

4  AT 

9.  956625 
.956566 
.  956.506 

.98 
1.00 

QQ 

9.  672291 
.  672619 
.  672947 

5.47 
5.47 

£   AF 

10.  327709 
.  327381 
.  327053 

49 
48 
47 

14 
15 
1C 
17 
18 
19 

.  629721 
.  629989 
.  630257 
.630524 
.  630792 
.631059 

.  *±t 

4.47 
4.47 
4.45 
4.47 
4.45 

.  956447 
.  956387 
.  956327 
.  956268 
.  956208 
.956148 

.  yo 
1.00 
1.00 
.98 
1.00 
1.00 
no 

.  673274 
.673602 
.  673929 
.  674257 
.  674584 
.674911 

o.  45 
5.47 
5.45 
5.47 
5.45 
5.45 

5   JO 

.  326726 
.  326398 
.  326071 
.  325743 
.  325416 
.  325089 

46 
45 
44 
43 
42 
41 

20 

.  631326 

4.  45 
4.45 

.  956089 

.  »o 
1.00 

.  675237 

.  4o 
5.45 

.  324763 

40 

21 

22 
23 
24 
25 
26 
27 
28 

9.  631593 
.631859 
.  632125 
.  632392 
.632658 
.632923 
.  633189 
.  633454 

4.43 

4.43 
4.45 
4.43 
4.42 
4.43 
4.42 

4AO 

9.  956029 
.  955969 
.  9r>.->909 
.  955849 
.  955789 
.  955729 
.  955669 
.955609 

1.00 
1.00 
1.00 
1.00 
1.00 
1.00 
1.00 

QO 

9.  675564 
.  675890 
.  676217 
.  676543 
.  676869 
.  677194 
.  677520 
.  677846 

5.43 
5.45 
5.43 
5.43 
5.42 
5.43 
5.43 

K  AO 

10.  324436 
.324110 
.  323783 
.  323457 
.  323131 
.  322806 
.  322480 
.  322154 

39 
38 
37 
36 
35 
34 
33 
32 

29 
30 

.633719 
.633984 

.  4*5 

4.42 
4,42 

.  955548 
.  955488 

.  yo 
1.00 
1.00 

.  678171 
.  678496 

o.  4J 
5.42 
5.42 

.  321829 
.  321504 

31 

30 

31 
32 
33 
34 
35 

9.  634249 
.  634514 
.  634778 
.635042 
.635306 

4.42 
4.40 
4.40 
4.40 

9.  955428 
.  955368 
.  955307 
.  955247 
.  955186 

1.00 
1.02 
1.00 
1.02 

9.  678821 
.  679146 
.  679471 
.  679795 
.680120 

5.42 
5.42 
5.40 
5.42 

10.  321179 
.  320854 
.  320529 
.  320205 
.  319880 

29 
28 
27 
26 
25 

36 

.  635570 

4.  40 

4A(\ 

.  955126 

1.  00 

Ino 

.  680444 

5.  40 

C   Af\ 

.  319556 

24 

37 

.635834 

.  10 

.  955065 

.  Uz 

.680768 

O.  4U 

5A(\ 

.  319232 

23 

38 

.636097 

4.  38 

40O 

.  955005 

1.  00 

1/V) 

.681092 

.  40 

K   Af\ 

.  318908 

22 

39 
40 

.636360 
.636623 

.  oo 
4.38 
4.38 

.  954944 
.954883 

.  uz 
1.02 
1.00 

.b81416 
.  681740 

O.  4U 

5.40 
5.38 

.  318584 
.  318260 

21 
20 

41 
42 

9.  636886 
.  637148 

4.37 

9.  954823 
.  954762 

1.02 

9.682063 
.  682387 

5.40 

5QQ 

10.  317937 
.  317613 

19 
18 

43 

.637411 

4.  38 

497 

.  954701 

1.  02 

1/V) 

.  682710 

.  OO 
5OQ 

.  317290 

17 

44 

.  637673 

.  O/ 

40*7 

.  954640 

.  0*2 

InO 

.683033 

.  OO 
5OQ 

.  316967 

16 

45 
46 

.  637935 
.  638197 

.  o7 
4.37 

.  954579 
.  954518 

.  U  J 

1.02 

.683356 
.683679 

.  OO 

5.38 

.  316644 
.  316321 

15 
14 

47 

.  638458 

4.35 

.  954457 

1.  02 

AO 

.684001 

5.  37 

500 

.  315999 

13 

48 

.638720 

4.  37 

4  or 

.  954396 

.  (j2 
no 

.  684324 

.  OO 
K  or 

.  315676 

12 

49 

.  638981 

.  OO 
4  OK 

.  954335 

.  \j£ 
no 

.  684646 

O.  O/ 

507 

.  315354 

11 

50 

.  639242 

.  oo 
4.35 

.954274 

.  U  2t 
.02 

.684968 

.  o/ 

5.37 

.  315032 

10 

51 
52 

9.  639503 
.  639764 

4.35 

400 

9.  954213 
.  954152 

.02 

rvo 

9.685290 
.685612 

5.37 

5Q7 

10.  314710 
.314388 

9 
8 

53 
54 

.  640024 
.  640284 

.  OO 

4.33 
400 

.  954090 
.  954029 

.  Uo 
.02 
no 

.685934 
.  686255 

.  o/ 

5.35 

5O7 

.  314066 
.313745 

7 
6 

55 
56 
57 

.  640544 
.  640804 
*  641064 

.  OO 

4.33 
4.33 

400 

.  953968 
.  953906 
.  953845 

.  uli 
.03 
.02 

flQ 

.686577 
.686898 
.  687219 

.  Ol 

5.35 
5.35 

e  oc 

.  313423 
.313102 
.  312781 

5 
4 
3 

58 

.  641324 

.  OO 

.  953783 

.  Uo 

.  687540 

O.  OO 
50C 

.  312460 

2 

59 
60 

,641583 
9.  641842 

4.  32 
4.32 

.  953722 
9.  953660 

.  02 
1.03 

.  687861 
9.688182 

.  oo 

5.35 

.312139 
10.  311818 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Co  tang. 

D.  1". 

Tang. 

' 

115' 


64° 


152 


TANGENTS,  AND  COTANGENTS. 


153C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  641842 
.  642101 

4.32 

409 

9.  953660 
.  953599 

1.02 

1AO 

9.  688182 
.688502 

5.33 

5Q9 

10.  311818 
.311498 

60 
59 

2 
3 

.  642360 
.  642618 

.  OZ 

.30 

y    00 

.  953537 
.  953475 

.  Uo 

1.03 

Ino 

.  688823 
.  689143 

.  &Z 

5.33 

50O 

.311177 

.  310857 

58 
57 

4 

5 

.642877 
.643135 

*  .  oZ 

.30 

,  on 

.  953413 
.  953352 

.  Uo 

1.02 

Ino 

.  689463 
.  689783 

.  OO 

5.33 

5OO 

.  310537 
.310217 

56 
55 

6 
7 

.  643393 
.  643650 

L.  .  oU 

.28 

i  on 

.  953290 
.  953228 

.  Uo 

1.03 

Ino 

.  690103 
.  690423 

.  OO 

5.33 

500 

.  309897 
.  309577 

54 
53 

8 

.  643908 

L.  .  oU 

00 

.  953166 

.  Uo 

Ino 

.  690742 

.  ')- 

500 

.  309258 

52 

9 
10 

.  644165 
.  644423 

.  ZQ 

.30 

.28 

.953104 
.  953042 

.  U«j 

1.03 
1.03 

.  691062 
.  691381 

.  OO 

5.32 
5.32 

.  308938 
.  308619 

51 
50 

11 

9.  644680 

97 

9.  952980 

InO 

9.  691700 

50O 

10.  308300 

49 

12 

.  644936 

.  Z  { 

,   OQ 

.952918 

.  Uo 
Ine 

.  692019 

.  oZ 
5OO 

.307981 

48 

13 
14 
15 

.645193 
.  645450 
.  645706 

*  .  Zo 

4.28 
4.27 

.  952855 
.952793 
.  952731 

.  Uo 
1.03 
1.03 

.  692338 
.  692656 
.  692975 

.  >)Z 

5.30 
5.32 

.  307662 
.  307344 
.  307025 

47 
46 
45 

16 
17 

.  645962 
.  646218 

4.  27 
4.27 

497 

.952669 
.  952606 

1.  03 
1.05 
InQ 

.  693293 
.  693612 

5.  30 
5.32 
5  on 

.  306707 
.  306388 

44 
43 

18 
19 

.  646474 
.  646729 

.  -  / 

4.25 

.  952544 
.  952481 

.  Uo 
1.05 

.  693930 
.  694248 

.  oU 
5.30 

.  306070 
.  305752 

42 
41 

20 

.  646984 

4.  25 
4.27 

.  952419 

1.  03 
1.05 

.  694566 

5.  30 
5.28 

.  305434 

40 

21 
22 
23 

9.  647240 
.  647494 
.  647749 

4.23 
4.25 
4  ori 

9.  952356 
.  952294 
.952231 

.03 

.05 

ne 

9.  694883 
.  695201 
.  695518 

5.30 

5.28 

Son 

10.305117 

.  304799 
.  304482 

39 
38 
37 

24 

.  648004 

4.  wO 
4OQ 

.  952168 

.  UO 
AQ 

.  695836 

.  oU 

50Q 

.  304164 

36 

25 
26 
27 

28 

.  648258 
.  648512 
.  648766 
.  649020 

.  -  > 

4.23 
4.23 
4.23 

49Q 

.  952106 
.  952043 
.  951980 
.951917 

.  Uo 

.05 
1.05 
1.05 

InC 

.  696153 
.  696470 
.  696787 
.  697103 

.  ZQ 

5.28 
5.28 
5.27 

500 

.  303847 
.  303530 
.303213 
.  302897 

35 
34 
33 
32 

29 
30 

.  649274 
.  649527 

.  Zo 

4.22 
4.23 

.  951854 
.  951791 

.  Uo 
1.05 
1.05 

.  697420 
.  697736 

.  Zo 

5.27 
5.28 

.302580 
.  302264 

31 
30 

31 
32 
33 

9.  649781 
.650034 
.  650287 

4.22 
4.22 

4Orv 

9.  951728 
.951665 
.  951602 

1.05 
1.05 

1AC 

9.  698053 
.  698369 
.  698685 

5.27 
5.27 

507 

10.  301947 
.  301631 
.301315 

29 

28 
27 

34 
35 

.  650539 
.  650792 

.  Z(J 

4.22 
4  on 

.  951539 
.  951476 

.  Uo 
1.05 

1AT 

.  699001 
.  699316 

.  •-  I 

5.25 

5O7 

.300999 
.  300684 

26 
25 

36 
37 

.  651044 
.  651297 

.  Z\j 

4.22 
4  90 

.  951412 
.951349 

.  Ol 

1.05 

Ine 

.  699632 
.  699947 

.  ~  / 

5.25 

597 

.300368 
.300053 

24 
23 

38 
39 
40 

.651549 
.651800 
.  652052 

4.  -£U 

4.18 
4.20 
4.20 

.  951286 
.951222 
.  951159 

.  Uo 
1.07 
1.05 
1.05 

.  700263 
.  700578 
.  700893 

.  -  / 

5.25 
5.25 
5.25 

.  299737 
.  299422 
.  299107 

22 
21 
20 

41 
42 
43 
44 

9.  652304 
.  652555 
.  652806 
.  653057 

4.18 
4.18 
4.18 

41  Q 

9.951096 
.  951032 
.  950968 
.  950905 

1.07 
1.07 
1.05 

1H7 

•9.701208 
.  701523 
.  701837 
.  702152 

5.25 
5.23 
5.25 

50O 

10.  298792 
.  298477 
.298163 
.  297848 

19 
18 
17 
16 

45 

.  653308 

.  lo 
41  7 

.  950841 

•  U/ 
Inr 

.  702466 

.  -•  ) 

5oc 

.  297534 

15 

46 

.  653558 

•  -I* 

41  7 

.  950778 

.  Uo 

1ft7 

.  702781 

.  Zo 
500 

.  297219 

14 

47 

.  653808 

;.  If 

41  o 

.950714 

.  Uf 

1H7 

.  703095 

.  _  1 

50Q 

.  296905 

13 

48 

.  654059 

.  lo 
417 

.  950650 

•  Of 
1A7 

.  703409 

.  ~  •  ) 

599 

.296591 

12 

49 

.  654309 

.  1  1 

41  c; 

.  950586 

.  U/ 
1H7 

.  703722 

.  ZiZi 

5OQ 

.  296278 

11 

50 

.  654558 

.  i  •> 
4.17 

.  950522 

•  U/ 
1.07 

.  704036 

.  Zo 

5.23 

.  295964 

10 

51 
52 

9.  654808 
.655058 

4.17 

41  X. 

9.  950458 
.  950394 

1.07 

1A.7 

9.  704350 
.  704663 

5.22 

599 

10.  295650 
.  295337 

9 

8 

53 
54 

.  655307 
.  655556 

.  J.O 

4.15 

41  ^ 

.  950330 
.  950266 

.  U/ 

1.07 

1/\7/ 

.  704976 
.  705290 

.  zz 
5.23 

599 

.  295024 
.  294710 

7 
6 

55 
56 

.  655805 
.  656054 

.  lo 

4.15 

410 

.  950202 
.  950138 

.  U/ 

1.07 

1A7 

.  705603 
.  705916 

.  &Z 

5.22 

59ft 

.  294397 
.294084 

5 
4 

57 

.  656302 

:.  XO 

.  950074 

.  U/ 

.  706228 

.  ZD 

.  293772 

3 

58 
59 

.  656551 
.  656799 

4.  15 
4.13 

41  Q 

.  950010 
.  949945 

1.07 
1.08 

1A7 

.706541 

.  706854 

5.  22 
5.22 
Son 

.293459 
.  293146 

2 
1 

60 

9.  657047 

•  lo 

9.  949881 

.  U* 

9.  707166 

.  ZO 

10.  292834 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

/ 

116° 


63 c 


153 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


' 

Sine. 

D.  I". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 
10 

9.  657047 
.  657295 
.657542 
.  657790 
.658037 
.  658284 
.658531 
.  658778 
.659025 
.659271 
.659517 

4.13 
4.12 
4.13 
4.12 
4.12 
4.12 
4.12, 
4.12 
4.10 
4.10 
4.10 

9.  949881 

.  949816 
.949752 
.  949688 
.  949623 
.  949558 
.  949494 
.  949429 
.  949364 
.  949300 
.949235 

1.08 
1.07 
1.07 
1.08 
1.08 
1.07 
1.08 
"  1.08 
1.07 
1.08 
1.08 

9.  707166 
.  707478 
.  707790 
.  708102 
.  708414 
.  708726 
.  709037 
.709349 
.  709660 
.709971 
.  710282 

5.20 
5.20 
5.20 
5.20 
5.20 
5.18 
5.20 
5.18 
5.18 
5.18 
5.18 

10.  292834 
.  292522 
.  292210 
.  291898 
.  291586 
.  291274 
.290963 
.  290651 
.  290340 
.290029 
.  289718 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.  659763 
.660009 
.660255 
.660501 
.660746 
.660991 
.661236 
.  661481 
.  661726 
.  661970 

4.10 
4.10 
4.10 
4.08 
4.08 
4.08 
4.08 
4.08 
4.07 
4.07 

9.  949170 
.  949105 
.  949040 
.  948975 
.  948910 
.  948845 
.  948780 
.  948715 
.  948050 
.948584 

1.08 
1.08 
1.08 
1.08 
1.08 
1.08 
1.08 
1.08 
1.10 
1.08 

9.  710593 
.  710904 
.711215 
.  711525 
.711836 
.  712146 
.  712456 
.  712766 
.  713076 
.  713386 

5.18 
5.18 
5.17 
5.18 
5.17 
5.17 
5.17 
5.17 
5.17 
5.17 

10.  289407 
.  289096 
.288785 
.  288475 
.  288164 
.  287854 
.  287544 
.  287234 
.  286924 
.286614 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 

9.  662214 

4AO 

9.  948519 

9.  713696 

10.  286304 

39 

22 
23 
24 
25 
26 
27 
28 
29 
30 

.662459 
.  662703 
.  662946 
.663190 
.663433 
.663677 
.663920 
.  664163 
.664406 

.  U8 
4.07 
4.05 
4.07 
4.05 
4.07 
.4.05 
4.05 
4.05 
4.03 

.  948454 
.948388 
.  948323 
.  948257 
.  948192 
.  948126 
.  948000 
.  947995 
.  947929 

1.08 
1.10 
1.08 
1.10 
1.08 
1.10 
1.10 
1.08 
1.10 
1.10 

.  714005 
.  714314 
.  714624 
.  714933 
.  715242 
.  715551 
.  715860 
.  716168 
.  716477 

5.15 
5.15 
5.17 
5.15 
5.15 
5.15 
5.15 
5.13 
5.15 
5.13 

.  285995 
.  285686 
.  285376 
.285067 
.  284758 
.  284449 
.284140 
.283832 
.  283523 

38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 

33 
34 
35 
36 
37 
38 
39 

9.  664648 
.664891 
.665133 
.  665375 
.665617 
.665859 
.666100 
.666342 
.666583 
.666824 

4.05 
4.03 
4.03 
4.03 
4.03 
4.02 
4.03 
4.02 
4.02 
4.02 

9.  947863 
.  947797 
.  947731 
.947665 
.  947600 
.  947533 
.  947467 
.  947401 
.  947335 
.  947269 

1.10 
1.10 
1.10 
1.08 
1.12 
1.10 
1.10 
1.10 
1.10 
1.10 

9.  716785 
.  717093 
.  717401 
.  717709 
.  718017 
.  718325 
.718633 
.  718940 
.  719248 
.719555 

5.13 
5.13 
5.13 
5.13 
5.13 
5.13 
5.12 
5.13 
5.12 
5.12 

10.  283215 
.282907 
.  282599 
.  282291 
.281983 
.  281675 
.  281367 
.281060 
.  280752 
.280445 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 

42 
43 
44 
45 
46 

9.667065 
.  667305 
.  667546 
.  667786 
.  668027 
.  668267 

4.00 
4.02 
.00 
.02 
.00 

'  QQ 

9.  947203 
.  947136 
.  947070 
.  947004 
.  946937 
.946871 

1.12 
1.10 
1.10 
1.12 
1.10 

110 

9.  719862 
.  720169 
.  720476 
.  720783 
.  7210S9 
.  721396 

5.12 
5.12 
5.12 
5.10 
5.12 
51  ft 

10.  280138 
.  279831 
.279524 
.279217 
.278911 
.  278604 

19 
18 
17 
16 
15 
14 

47 
48 
49 
50 

.668506 
.668746 
.  668986 
.  669225 

«  .  yo 
.00 
.00 
3.98 
3.98 

.  946804 
.  946738 
.  946671 
.946604 

.  1  - 

1.10 
1.12 
1.12 
1.10 

.  721702 
.  722009 
.  722315 
.  722621 

.  W 
5.12 
5.10 
5.10 
5.10 

.  278298 
.  277991 
.  277GS5 
.277379 

13 
12 
11 
10 

51 

9.  669464 

O  QO 

9.  946538 

11O 

9.  722927 

5  no 

10.  277073 

9 

52 

.  669703 

3  no 

.  946471 

•  ±£ 

.  723232 

.  (Jo 

.  276768 

8 

53 

.669942 

.  yj> 

.  946404 

1.  12 

.  723538 

5.  10 

.  276462 

7 

54 

.  670181 

o'  07 

.  946337 

1.  12 

11  O 

.  723844 

5.  10 

5  no 

.  276156 

6 

55 

.  670419 

o.  y/ 

0  QQ 

.  946270 

.  u 

.  724149 

.  (JQ 

.  275851 

5 

56 
57 
58 
59 
60 

.  670658 
.  6708% 
.  671134 
.  671372 
9.  671609 

3!  97 
3.97 
3.97 
3.95 

.  946203 
.  946136 
.  946069 
.  94()002 
9.  945935 

1.12 
1.12 
1.12 
1.12 

.  724454 
.  724760 
.725065 
.  725370 
9.  725674 

5.  08 
5.10 
5.08 
5.08 
5.07 

.275546 
.  275240 
.  274935 
.  274(530 
10.  274326 

4 
3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang.   i 

f 

154 


TANGENTS,  AND  COTANGENTS. 


151' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

'. 

0 

9.  671609 

o  O7 

9.  945935 

11  O 

9.  725674 

r  f\o 

10.  274326 

60 

1 

.  671847 

o.  y/ 

.  945868 

.  U 

.  725979 

O.  Uo 
5  no 

.274021 

59 

2 
3 

4 

.  672084 
.  672321 
.  672558 

3.  95 
3.95 
3.95 

.  945800 
.945733 
.  945666 

1.  13 
1.12 
1.12 

.  726284 
.  726588 
.  726892 

.  Uo 
5.07 
5.07 

.273716 
.  273412 
.  273108 

58 
57 
56 

5 
6 
7 
8 
9 
10 

.  672795 
.  673032 
.  673268 
.  673505 
.  673741 
.  673977 

3.  95 
3.95 
3.93 
3.95 
3.93 
3.93 
3.93 

.  945598 
.  945531 
.  945464 
.  945396 
.  945328 
.  945261 

1.  13 
1.12 
1.12 
1.13 
1.13 
1.12 
1.13 

.  727197 
.  727501 
.  727805 
.  728109 
.  728412 
.  728716 

5.  05 
5.07 
5.07 
5.07 
5.05 
5.07 
5.07 

.  272803 
.272499 
.  272195 
.  271891 
.  271588 
.  271284 

55 
54 
53 
52 
51 
50 

11 
12 
13 

9.  674213 

.  674448 
.  674684 

3.92 
3.93 

9.  945193 
.  945125 
.945058 

1.13 
1.12 

9.  729020 
.  729323 
.  729626 

5.05 
5.05 

10.  270980 
.270677 
.  270374 

49 
48 
47 

14 
15 
16 
17 
18 
19 
20 

.  674919 
.  675155 
.  675390 
.  675624 
.  675859 
.  676094 
.  676328 

3.  92 
3.93 
3.92 
3.90 
3.92 
3.92 
3.90 
3.90 

.  944990 
.  944922 
.  944854 
.  944786 
.  944718 
.  944650 
.  944582 

1.  13 
1.13 
1.13 
1.13 
1.13 
1.13 
1.13 
1.13 

.  729929 
.  730233 
.  730535 
.  730838 
.731141 
.  731444 
.  731746 

5.  05 
5.07 
5.03 
5.05 
5.05 
5.05 
5.03 
5.03 

.270071 
.  269767 
.  269465 
.269162 
.268859 
.268556 
.  268254 

46 
45 
44 
43 
42 
41 
40 

21 
22 
23 
24 
25 

9.  676562 
.  676796 
.  677030 
.  677264 
.  677498 

3.90 
3.90 
3.90 
3.90 

9.  944514 
.  944446 
.  944377 
.  944309 
.944241 

1.13 
1.15 
1.13 
1.13 

11  K 

9.  732048 
.  732351 
.  732653 
.  732955 
.  733257 

5.05 
5.03 
5.03 
5.03 

10.267952 
.  267649 
.267347 
.  267045 
.  266743 

39 
38 
37 
36 
35 

26 

27 
28 

.  677731 
.  677964 
.  678197 

3^88 
3.88 

.  944172 
.  944104 
.  944036 

.  lo 
1.13 
1.13 

.  733558 
.  733860 
.  734162 

5!  03 
5.03 

.  266442 
.266140 
.  265838 

34 
33 
32 

29 

.  678430 

3.  88 

.  943967 

1.  15 

.  734463 

5.  02 

.265537 

31 

30 

.678663 

3.  88 
3.87 

.  943899 

1.  13 
1.15 

.  734764 

5.  02 
5.03 

.265236 

30 

31 

9.  678895 

9.  943830 

9.735066 

10.264934 

29 

32 
33 

.  679128 
.  679360 

3.  88 
3.87 

.  943761 
.  943693 

1.  15 
1.13 

.  735367 
.735668 

5.  02 
5.02 

.264633 
.  264332 

28 
27 

34 
35 
36 
37 
38 
39 
40 

.  679592 
.  679824 
.  680056 
.680288 
.  680519 
.  680750 
.680982 

3.  87 
3.87 
3.87 
3.87 
3.85 
3.85 
3.87 
3.85 

.  943624 
.  943555 
.  943486 
.  943417 
.  943348 
.  943279 
.  943210 

1.  15 
1.15 
1.15 
1.15 
1.15 
1.15 
1.15 
1.15 

.  735969 
.  736269 
.  736570 
.  736870 
.  737171 
.  737471 
.  737771 

5.  02 
5.00 
5.02 
5.00 
5.02 
5.00 
5.00 
5.00 

.264031 
.  263731 
.263430 
.  263130 
.  262829 
.262529 
.  262229 

26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 

9.  681213 
.681443 
.  681674 
.  681905 
.682135 

3.83 
3.85 
3.85 
3.83 

0   00 

9.  943141 
.  943072 
.943003 
.  942934 
.  942864 

1.15 
1.15 
1.15 
1.17 

11  K 

9.  738071 
.  738371 
.  738671 
.  738971 
.  739271 

5.00 
5.00 
5.00 
5.00 

10.261929 
.  261629 
.  261329 
.  261029 
.260729 

19 
18 
17 
16 
15 

46 
47 
48 
49 

.682365 
.  682595 
.  682825 
.  683055 

O.  oO 

3.83 
3.83 
3.83 

.  942795 
.  942726 
.  942656 

.  942587 

•  lo 
1.15 
1.17 
1.15 

.  739570 
.  739870 
.  740169 
.  740468 

5.  00 

4.98 
4.98 

.  260430 
.260130 
.259831 
.  259532 

14 
13 
12 
11 

50 

.683284 

3.  82 
3.83 

.  942517 

1.  17 
1.15 

.  740767 

4'.  98 

.259233 

10 

51 

9.683514 

9.  942448 

117 

9.  741066 

10.  258934 

9 

52 

.683743 

3.  82 

.  942378 

.  ii 

.  741365 

4.  98 

.  258635 

8 

53 
54 

.683972 
.684201 

3.  82 
3.82 

.  942308 
.  942239 

1.  17 
1.15 

.  741664 
.  741962 

4.  98 
4.97 

.  258336 
.258038 

7 
6 

55 

.  684430 

3.  82 

.  942169 

1.  17 

.  742261 

4.  98 

.  257739 

5 

56 
57 
58 
59 
60 

.684658 
.684887 
.  685115 
.685343 
9.  685571 

3.  80 
3.82 
3.80 
3.80 
3.80 

.942099 
.  942029 
.  941959 
.  941889 
9.  941819 

1.  17 
1.17 
1.17 
1.17 
1.17 

.  742559 
.  742858 
.  743156 
.  743454 
9.  743752 

4.  97 
4.98 
4.97 
4.97 
4.97 

.  257441 
.  257142 
.  256844 
.  256546 
10.  256248 

4 
3 
2 
1 

0 

' 

Cosine. 

D.  I". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

118C 


61' 


155 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


ISO" 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Co  tang. 

' 

0 

1 

2 
3 

9.  685571 
.  68.5799 
.686027 
.  686254 

3.80 
3.80 
3.78 

0  Qf\ 

9.  941819 
.  941749 
.  941679 
.  941609 

1.17 
1.17 
1.17 

11  7 

9.  743752 
.  744050 

.  744348 
.  744645 

4.97 
4.97 
4.95 

10.  25G248 
.  255950 
.  255652 
.255355 

60 
59 
58 
57 

4 
5 

6 
7 
8 
9 
10 

.  686482 
.  686709 
.  686936 
.687163 
.  687389 
.  687616 
.  687843 

o.  oU 

3.78 
3.78 
3.78 
3.77 
3.78 
3.78 
3.77 

.  941539 
.  941469 
.  941398 
.  941328 
.  941258 
.  941187 
.941117 

.  Ll 

1.17 
1.18 
1.17 
1.17 
1.18 
1.17 
1.18 

.  744943 
.  745240 
.  745538 
.  745835 
.  746132 
.  746429 
.  746726 

4.  97 
4.95 
4.97 
4.95 
4.95 
4.95 
4.95 
4.95 

.  255057 
.254^60 
.  254462 
.  254165 
.253868 
.  253571 
.  253274 

56 
55 
54 
53 
52 
51 
50 

11 
12 
13 
14 
15 

9.  688069 
.688295 
.688521 
.688747 
.  688972 

3.77 
3.77 
3.77 
3.75 

o  77 

9.  941046 
.  940975 
.940905 
.  940834 
.  940763 

1.18 
1.17 
1.18 
1.18 

11  7 

9.  747023 
.  747319 
.  747616 
.  747913 
.  748209 

4.93 
4.95 
4.95 
4.93 

10.  252977 
.  252681 
.  252384 
.  252087 
.  251791 

49 
48 
47 
46 
45 

16 

.  689198 

o.  /  i 

37K 

.  940693 

.  I/ 

110 

.  748505 

4OQ 

.251495 

44 

17 
18 

.  689423 
.  689648 

.  /O 

3.75 

.  940622 
.  940551 

.  lo 
1.18 

.  748801 
.  749097 

.  yo 
4.93 

.251199 
.  250903 

43 
42 

19 
20 

.  689873 
.  690098 

3.  75 
3.75 
3.75 

.  940480 
.940409 

1.  18 
1.18 
1.18 

.  749393 
.  749689 

4.  93 
4.93 
4.93 

.250607 
.250311 

41 
40 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

9.  690323 
.  690548 
.  690772 
.690996 
.  691220 
.  691444 
.  691668 
.  691892 
.692115 
.  692339 

3.75 
3.73 
3.73 
3.73 
3.73 
3.73 
3.73 
3.72 
3.73 
3.72 

9.  940338 
.  940267 
.  940196 
.  940125 
.940054 
.  939982 
.  939911 
.  939840 
.  939768 
.  939697 

1.18 
1.18 
1.18 
1.18 
1.20 
1.18 
1.18 
1.20 
1.18 
1.20 

9.  749985 
.  750281 
.  750576 
.  750872 
.  751167 
.  751462 
.  751757 
.  752052 
.  752347 
.  752642 

4.93 

4.92 
4.93 
4.92 
4.92 
4.92 
4.92 
4.92 
4.92 
4.92 

10.  250015 
.249719 
.  249424 
.  249128 
.  248833 
.  24,8538 
.248243 
.  247948 
.  247653 
.  247358 

39 
38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  692562 
.692785 
.  693008 
.  693231 
.  693453 
.  693676 
.  693898 
.  694120 
.  694342 
.  694564 

3.72 
3.72 
3.72 
3.70 
3.72 
3.70 
3.70 
3.70 
3.70 
3.70 

9.  939625 
.  939554 
.  939482 
.  939410 
.  939339 
.  939267 
.  939195 
.  939123 
.  939052 
.  938980 

1.18 
1.20 
1.20 
1.18 
1.20 
1.20 
1.20 
1.18 
.20 
.20 

9.  752937 
.  753231 
.  753526 
.  753820 
.754115 
.  754409 
.  754703 
.  754997 
.  755291 
.  755585 

4.90 
4.92 
4.90 
4.92 
4.90 
4.90 
4.90 
4.90 
4.90 
4.88 

10.  247063 
.  246769 
.  246474 
.  246180 
.245885 
.  245591 
.  245297 
.  245003 
.  244709 
.  244415 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 

9.  694786 
.  695007 
.  695229 
.  695450 
.  695671 

3.68 
3.70 
3.68 
3.68 

9.  938908 
.938836 
.  938763 
.  938691 
.  938619 

.20 
.22 
.20 
.20 

9.  755878 
.  756172 
.  756465 
.  756759 
.  757052 

4.90 

4.88 
4.90 

4.88 

10.  244122 
.  243828 
.  243535 
.  243241 

.  242948 

19 

18 
17 
16 
15 

46 

.  695892 

3.68 

.  938547 

.20 

.  757345 

4.  88 

4QQ 

.  242655 

14 

47 
48 
49 

.  696113 
.  696334 
.  696554 

3.  68 
3.68 
3.67 

.  938475 
.  938402 
.  938330 

.  20 
.22 
.20 

.  757638 
.  757931 
.  758224 

.  so 
4.88 
4.88 

4QQ 

.  242362 
.242069 
.241776 

13 

12 
11 

50 

.  696775 

3.  68 
3.67 

.  938258 

'.  .  20 
.22 

.  758517 

.  SO 

4.88 

.241483 

10 

51 

9.  696995 

3  AT 

9.  938185 

on 

9.758810 

4O7 

10.241190 

9 

52 

.  697215 

.  O/ 

.  938113 

.  2\J 

.759102 

.  o/ 
4  CO 

.  240898 

8 

53 

.  697435 

3.  67 

.  938040 

.  22 

.  759395 

.  00 

.  240605 

7 

54 
55 
56 

.  697654 
.  697874 
.  698094 

3.  65 
3.67 
3.67 

3/>r 

.  937967 
.  937895 
.  937822 

.22 
.20 
.22 

.  759687 
.  759979 
.  760272 

4.  87 
4.87 
4.88 

4Q7 

.240313 
.  240021 
.239728 

6 
5 
4 

57 

58 

.  698313 
.  698532 

.  DO 

3.65 

.  937749 
.  937676 

:!22 

.  760564 
.760856 

.  01 

4.87 

.  239436 
.239144 

3 

2 

59 

60 

.  698751 
9.  698970 

3.  65 
3.65 

.  937604 
9.  937531 

.  20 
1.22 

.761148 
9.  761439 

4.  87 
4.85 

.  238852 
10.  238561 

1 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Co  tang. 

D.  I". 

Tang. 

' 

119° 


60° 


156 


30° 


TANGENTS,  AND  COTANGENTS. 


149° 


' 

Sine. 

D.  1". 

Cosine. 

I).  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 
1 
2 
3 
4 
5 

9.  698970 
.  699189 
.  699407 
.  699626 
.  699844 
.  700002 

3.05 
3.03 
3.05 
3.03 
3.03 

3AO. 

9.937531 
.  937458 
.  937385 
.937312 
.  937238 
.937105 

1.22 
1.22 
1.22 
1.23 
1.22 

199 

9.  701439 
.701731 
.  702023 
.  702314 
.  702000 
.  702897 

4.87 
4.87 
4.85 
4.87 
4.85 

4OC 

10.  238561 
.  238269 
.  237977 
.  237686 
.  237394 
.  237103 

60 
59 

58 
57 
56 
55 

6 
7 

.  700280 
.  700498 

.  OO 

3.03 

3fiQ 

.  937092 
.  937019 

.  -  - 

1.22 

199 

.  703188 
.  703479 

.  O3 

4.85 

4  OC 

.236812 
.  230521 

54 
53 

8 
9 

.700710 
.  700933 

.  Do 

3.02 

.  930940 
.  930872 

.  £*£ 

1.23 

199 

.  703770 
.  704001 

.  oO 

4.85 

4OC 

.  230230 
.  235939 

52 
51 

10 

.701151 

3^62 

.  930799 

.  -  - 

1.23 

.  704352 

:.  oO 

4.85 

.  235648 

50 

11 

9.  701368 

3fi9 

9.  930725 

199 

9.  704043 

4OO 

10.  235357 

49 

12 
13 

.  701585 
.  701802 

.  it- 

3.62 

.  936652 
.  936578 

.  -.- 

1.23 

.  704933 
.  705224 

.  OO 

4.85 

4   QO 

.  235067 
.  234776 

48 
47 

14 

15 

.  702019 
.  702236 

3!  62 

3£?n 

.  936505 
.936431 

L23 

1OO 

.705514 
.  705805 

:.  OO 

4.85 

4QO 

.234480 
.  234195 

40 
45 

16 

.  702452 

.  OU 

3.  62 

.936357 

.  Zo 
1  22 

.  766095 

:.  OO 
4  83 

.  233905 

44 

17 

.  702669 

3AA 

.  936284 

100 

.  766385 

4  CO 

.  233015 

43 

18 

'  .702885 

.  uU 
3PO 

.  936210 

.  _'  > 
1  23 

.  766675 

.  OO 

4  83 

.  233325 

42 

19 

.  703101 

.  DU 

3  fin 

.  936136 

100 

.  766905 

4  CO 

.  233035 

41 

20 

.  703317 

.  uU 
3.60 

.  930062 

.  -  •  ) 
1.23 

.  767255 

;.  OO 

4.83 

.  232745 

40 

21 
22 

9.  703533 
.  703749 

3.60 

3  CO 

9.  935988 
.935914 

1.23 
1  23 

9.  767545 
.  767834 

4.82 
4  83 

10.  232455 
.232100 

39 
38 

23 

.  703964 

.  Oo 

3  CO 

.  935840 

.  768124 

4  Rl 

.  231870 

37 

24 

25 

.  704179 
.  704395 

.  Oo 
3.00 

3  CO 

.  935700 
.  935092 

L23 

.  768414 
.  768703 

4.  oo 

4.82 
4  8° 

.  231580 
.  231297 

36 
35 

26 

27 
28 

.  704610 
.  704825 
.  705040 

.  Oo 

3.58 
3.58 

3C7 

.  935018 
.  935543 
.  935469 

L25 
1.23 

100 

.  708992 
.  769281 
.  769571 

4.  O-u 

4.82 
4.83 
4  8° 

.  231008 
.230719 
.  230429 

34 
33 
32 

29 

.  705254 

.  O/ 

3  CO 

.  935395 

.  -  -  1 

.  769800 

i.  SO 

.  230140 

31 

30 

.  705469 

.  Oo 

3.57 

.  935320 

L23 

.  770148 

*  .  oU 

.82 

.  229852 

30 

31 
32 

9.  705683 
.  705898 

3.58 

3C7 

9.  935246 
.  935171 

1.25 

1OO 

9.  770437 
.  770726 

'.82 

10.  229563 
.  229274 

29 
28 

33 

.706112 

.  o/ 

.  935097 

.  ._  •  ) 

IOC. 

.  771015 

"  an 

.228985 

27 

34 

.  706326 

3.  57 

3cc 

.  935022 

.  /O 
100 

.  771303 

'  '  00 

.  228697 

26 

35 

.  706539 

.  OO 

o  e.7 

.  934948 

.  Zo 

IOC 

.  771592 

4  en 

.  228408 

25 

36 

.  706753 

o.  o  7 

3C7 

.  934873 

.  Zo 

.  771880 

.  oU 
4  on 

.228120 

24 

37 
38 

.  706907 
.707180 

.  O/ 

3.55 

3CC 

.  934798 
.  934723 

1.25 
1  91 

.  772168 
.  772457 

.  oU 

4.82 

.  227832 
.  227543 

23 
22 

39 

.  707393 

.  00 

0  CC 

.  934049 

1.  Zo 
Ioc 

.  772745 

4  on 

.  227255 

21 

40 

.  707000 

O.  OO 

3.55 

.  934574 

.  -  •  ) 

1.25 

.773033 

.  oU 
4.80 

.  226967 

20 

41 

9.  707819 

3cc 

9.  934499 

Ioc 

9.  773321 

47Q 

10.  220079 

19 

42 
43 

.  708032 
.  708245 

.  33 

3.55 

3CC 

.  934424 
.  934349 

.  Zo 

1.25 

IOC 

.  773608 
.  773896 

.  /o 
4.80 

4  on 

.  220392 
.  226104 

18 
17 

44 
45 

.  708458 
.  708670 

.  30 

3.53 

3  CO 

.934274 
.  934199 

.  Zo 
1.25 
1  27 

.  774184 
.  774471 

.  ou 

4.78 

4  on. 

.225810 
.  225529 

16 
15 

46 
47 

.  708882 
.  709094 

.  Oo 

3.53 

3  CO 

.934123 
.  934048 

L25 

Ioc 

.  774759 
.  775046 

.  oU 

4.78 

4  7°. 

.  225241 
.  224954 

14 
13 

48 
49 

.  709300 
.  709518 

.  Oo 

3.53 

.  933973 
.  933898 

.  ZO 

1.25 

.  775333 
.  775621 

.  to 

4.80 

.  224667 
.  224379 

12 
11 

50 

.709730 

3.  53 
3.52 

.  933822 

1.  27 
1.25 

.  775908 

4.  78 
4.78 

.  224092 

10 

51 
52 
53 
54 

9.  709941 
.  710153 
.  710304 
.  710575 

3.53 
3.52 
3.52 

3  CO 

9.  933747 
.933071 
.  933590 
.  933520 

1.27 
1.25 
1.27 

IOC 

9.  776195 

.  776482 
.  776768 
.  777055 

4.78 
4.77 
4.78 

47Q 

10.223805 
.  223518 
.  223232 
.  222945 

9 
8 

7 
6 

55 
56 

57 

.  710786 
..710997 
.711208 

.  •)- 

3.52 
3.52 

.  933445 
.  933309 
.  933293 

.  Z'J 

1.27 
1.27 
1  27 

.  777342 
.  777628 
.  777915 

:.  /O 

4.77 
4.78 

477 

.  222058 
.  222372 
.  222085 

5 
4 
3 

58 
59 

.711419 
.711629 

3!  50 

.  933217 
.933141 

L27 

.  778201 

.  778488 

.  /  / 

4.78 

.  221799 
.221512 

2 
1 

00 

9.  711839 

3.  50 

9.  933060 

1.  25 

9.  778774 

4.  77 

10.  221220 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

59C 


157 


31' 


TABLE  9.— LOGARITHMIC  SIXES,  COSINES, 


148C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  711839 

3   CO 

9.  933066 

197 

9.  778774 

4<77 

10.  221226 

60 

1 

.  712050 

.  Ol: 
o  rrrj 

.  932990 

.  £i 
*>7 

.  779060 

.  // 
477 

.  220940 

59 

2 
3 

.  712200 
.  712469 

o.  OU 

3.48 

3KA 

.  932914 
.  932838 

.  -  * 

.27 

97 

.  779346 
.  779632 

.  /  * 

4.77 

477 

.  220654 
.  220368 

58 
57 

4 

.  712679 

.  OU 

3rn 

.  932762 

.  -  < 

00 

.  779918 

.  /  / 

4rrc 

.  220082 

56 

5 

.  712889 

.  OU 

3  48 

.  932685 

.  Zo 
97 

.  780203 

.  /  O 

477 

.  219797 

55 

G 

.  713098 

3CA 

.  932609 

.  -  i 
97 

.  780489 

•  II 

477 

.219511 

54 

7 

.  713308 

.  OU 

3  48 

.  932533 

.  -  / 
97 

.  780775 

.  /  / 
4  7^ 

.  219225 

53 

8 
9 

.713517 
.  713726 

3^48 
3  48 

.  932457 
.  932380 

.  .  -  / 

.28 
27 

.  781060 
.  781346 

4.  *O 

4.77 

47K 

.  218940 
.  218(554 

52 
51 

10 

.  713935 

3!  48 

.  932304 

!27 

.  781631 

.  lO 

4.75 

.  218369 

50 

11 

9.  714144 

3.  47 

9.  932228 

00 

9.  781916 

4  7** 

10.  218084 

49 

12 

.  714352 

3  JO 

.932151 

.  Zo 
07 

.  782201 

4.  /O 

4nc 

.  21770!) 

48 

13 
14 

.  714561 
.  714769 

.  4o 

3.47 

340 

.  932075 
.931998 

.  -  1 

.28 

OO 

.  782486 
.  782771 

.  /O 

4.75 

4*7tr 

.217514 

.  217229 

47 
46 

15 
16 
17 
18 
19 

.  714978 
.715186 
.  715394 
.  715602 

.  715809 

.  4o 

3.47 
3.47 
3.47 
3.45 

3A1 

.  931921 
.  931845 
.  931768 
.  931691 
.  931614 

.  /O 

.27 

.28 
.28 
.28 

00 

.  783056 
.  7S3341 
.  783626 
.  783910 
.  784195 

.  /O 

4.75 
4.75 
4.73 
4.75 

47Q 

.  216944 
.  216659 
.216374 
.  21C.OOO 
.  215805 

45 
44 
43 
42 
41 

20 

.716017 

»  €/ 

3.45 

.931537 

.  4O 

.28 

.  784479 

.  16 
4.75 

.215521 

40 

21 

9.  716224 

9.  931460 

9.  784764 

10.215236 

39 

22 
23 

.  716432 

.  716639 

3.  47 
3.45 

3AK 

.  931383 
.  931306 

.28 
.28 

OO 

.  785048 
.  785332 

4.  73 
4.73 

479. 

.214952 
.  214668 

38 
37 

24 
25 
26 

.  716846 
.  717053 
.  717259 

.  4O 

3.45 
3.43 
341) 

.  931229 
.931152 
.  931075 

.  Zo 

.28 
.28 

OO 

.  785616 
.  785900 
.  786184 

.  /O 

4.73 
4.73 
4  7^ 

.  214384 
.  214100 
.  213816 

36 
35 
34 

27 

.  717466 

.  4O 

.  930998 

.  -  •  > 

.786468 

4.  /o 

.  213532 

33 

28 

.  717673 

3.  45 
3  43 

.930921 

.28 

Of* 

.  786752 

4.  73 
4  71 

.  213248 

32 

29 
30 

.  717879 
.  718085 

3^43 
3.43 

.  930843 
.  930766 

.  ou 

.28 
.30 

.  787036 
.  787319 

4.  to 
4.72 
4.73 

.  212964 
.212681 

31 
30 

31 
32 

9.  718291 
.  718197 

3.43 

3,40 

9.  930688 
.  930611 

.28 
on 

9.  787603 

.  787886 

4.72 

479. 

10.  212397 
.212114 

29 

28 

33 

34 
35 
36 

.  718703 
.  718909 
.719114 
.  719320 

.  4o 
3.43 
3.42 
3.43 

.  930533 
.  930456 
.  930378 
.  930300 

.  60 
.28 
.30 
.30 

.  788170 
.  788453 
.  788736 
.  789019 

.  /O 

4.72 
4.72 
4.72 

.211830 
.  211547 
.  211264 
.  210981 

27 
26 
25 
24 

37 
38 

.  719525 
.  719730 

3.  42 
3.42 

.  930223 
.  930145 

.28 
.30 

.  789302 
.  789585 

4.  72 
4.72 

.  210698 
.210415 

23 
22 

39 
40 

.  719935 
.  720140 

3.  42 
3.42 
3.42 

.  930067 
.  929989 

.  30 
.30 
.30 

.  789868 
.  790151 

4.  72 
4.72 
4.72 

.210132 
.  209849 

21 
20 

41 

9.  720345 

340 

9.  929911 

Of) 

9.  790434 

*  70 

10.  209566 

19 

42 

.  720549 

.  rlu 
349 

.  929833 

.  oU 

On 

.  790716 

72 

.209284 

18 

43 

.  720754 

.  *±£ 

3Af\ 

.  929755 

.  oU 
on 

.  790999 

7A 

.  209001 

17 

44 

.  720958 

.  4U 

3Af\ 

.  929677 

.  oU 
on 

.  791281 

.  /U 

•*  70 

.  208719 

16 

45 

.  721162 

.  4U 

3A(\ 

.  929599 

.  oU 
on 

.  791563 

79 

.  208437 

15 

46 

.  721366 

.  4U 

*}   Af\ 

.  929521 

.  oU 

09 

.791846 

-  i  - 

.  208154 

14 

47 

.  721570 

o.  4U 

.  929442 

.  •>- 

.  792128 

.  207872 

13 

48 

.  721774 

3.  40 

3A(\ 

.  939364 

.30 

.  792410 

.  70 

7fl 

.  207590 

12 

49 

.  721978 

.  4U 

300 

.  929286 

.  30 

oo 

.  792692 

.  /U 
,  7A 

.  207308 

11 

50 

.  722181 

.  00 

3.40 

.  929207 

.  •'•- 

.30 

.  792974 

*  .  /U 

.70 

.  207026 

10 

51 

9.  722385 

3OO 

9.  929129 

oo 

9.  793256 

^  70 

10.  206744 

9 

52 

.722588 

.  oo 

300 

.  929050 

.  •  '  - 

.  793538 

*  .  /U 

.   /?o 

.  206462 

8 

53 

.722791 

.  oo 
300 

.  928972 

.  30 

00 

.  793819 

.  Do 

,  70 

.  206181 

7 

54 

.  722994 

.  oo 

30Q 

.  928893 

..  o*i 
on 

.794101 

.  205899 

6 

55 

.723197 

.  Oo 

3QO 

.  928815 

.  oU 

.  794383 

AQ 

.  205617 

5 

56 

.  723400 

.  00 

300 

.  928736 

.  32 
oo 

.  794664 

^  .  Do 
,   7fi 

.  205336 

4 

57 
58 

.  723603 
.  723805 

.  Oo 

3.  37 

.  92S657 
.  928578 

.  O4 

.32 

.  794946 
.  795227 

1  .  /U 

4.0)8 

4  AC 

.205054 
.  204773 

3 

2 

59 
60 

.  724007 
9.  724210 

3.  37 
3.38 

.  928499 
9.  92S420 

.  32 
1.32 

.  795508 
9.  795789 

.  DO 

4.68 

.  204492 
10.204211 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tttttf. 

' 

isr 


58 e 


158 


TANGENTS,  AND  COTANGENTS. 


147' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 

9.  724210 
.  724412 
.  724614 

3.37 
3.37 

307 

9.  928420 
.928342 
.  928203 

1.30 
.32 

OO 

9.  795789 
.  790070 
.  796351 

4.68 
4.68 

4  AC 

10.204211 

.  203930 
.  203649 

60 
59 

58 

3 
4 

.  724810 
.  725017 

.  Ol 

3.35 

o  07 

.  928183 
.  928104 

.  OO 

.32 

OQ 

.  796632 
.  796913 

.  Oo 

4.68 

4Afl 

.  203308 
.  203087 

57 

56 

5 

.  725219 

O.  Ol 

3  or 

.  928025 

.  '  )_ 
00 

.  797194 

.  Oo 

4/--7 

.  202806 

55 

6 
7 
8 
9 

.  725420 
.  725622 
.  725823 
.  726024 

.  <5O 

3.37 
3.35 
3.35 

o  or 

.  927940 
.  927867 
.  927787 
.  927708 

.  oJ 
.32 
.33 
.32 

on 

.  797474 
.  797755 
.  798036 
.  798316 

.  O/ 

4.68 
4.68 
4.67 

4  Off 

.  202520 
.  202245 
.  201904 
.  201084 

54 
53 
52 
51 

10 

.  726225 

o.  oo 
3.35 

.  927629 

..  ••- 

.33 

.  798596 

.  O* 

4.68 

.  201404 

50 

11 
12 
13 

9.  726426 
.  726020 
.  726827 

3.33 
3.35 

0  00 

9.  927549 
.  927470 
.927390 

.32 
.33 

00 

9.  798877 
.  799157 
.  799437 

4.67 
4.67 

4/17 

10.  201123 
.  200843 
.  200503 

49 
48 
47 

14 
15 
10 

.  727027 

.  727228 
.  727428 

O.  oo 
3.35 
3.33 

300 

.  927310 
.  927231 
.  927151 

.  OO 

.32 
.33 

00 

.  799717 
.  799997 
.  800277 

.  Oi 

4.67 
4.67 

4C*7 

.  200283 
.200003 
.  199723 

46 
45 
44 

17 

18 

.  727028 
.  727828 

.  OO 

3.33 

Son 

.  927071 
.  926991 

.  OO 

.33 

00 

.  800557 
.  800836 

.  O/ 

4.65 

4f"7 

.  199443 
.  199104 

43 
42 

19 
20 

.  728027 
.  728227 

.  • 

3.33 
3.33 

.926911 
.  926831 

.  OO 

.33 
.33 

.801116 
.  801396 

.  O/ 

4.67 
4.65 

.  198884 
.  198604 

41 
40 

21 
22 
23 
24 

9.  728427 
.  728020 
.  728825 
.  729024 

3.32 
3.32 
3.32 

o  oo 

9.  926751 
.  926671 
.  926591 
.926511 

.33 
.33 
.33 

oo 

9.  801075 
.801955 
.  802234 
.  802513 

4.67 
4.65 
4.65 

4f*C 

10.  198325 
.  198045 
.  197706 
.  197487 

39 
38 
37 
36 

25 
26 
27 
28 
29 
30 

.  729223 
.  729422 
.  729021 
.  729820 
.  730018 
.  730217 

O.  •  »_ 

3.32 
3.32 
3.32 
3.30 
3.32 
3.30 

.  926431 
.  920351 
.  920270 
.926190 
.920110 
x  920029 

..  OO 

.33 
.35 
.33 
.33 
.35 
.33 

.  802792 
.  803072 
.  803351 
.  803030 
.  803909 
.  804187 

.  oo 

4.67 
4.65 
4.65 
4.65 
4.63 
4.65 

.  197208 
.  196928 
.  190049 
.196370 
.  196091 
.  195813 

35 
34 
33 
32 
31 
30 

31 
32 
33 
34 

9.  730415 
.  730613 
.730811 
.  731009 

3.30 
3.30 
3.30 

3OO 

9.  925949 
.  925868 
.  925788 
.  925707 

.35 
.33 
.35 

or 

9.  804406 
.  804745 
.  805023 
.  805302 

4.65 
4.63 
4.65 

10.  195534 
.  195255 
.  194977 
.  194698 

29 
28 
27 
26 

35 
36 
37 
38 
39 
40 

.  731208 
.  731404 
.  731602 
.  731799 
.  731996 
.  732193 

.  AO 

3.30 
3.30 
3.28 
3.28 
3.28 
3.28 

.  925626 
.  925545 
.  925465 
.  925384 
.  925303 
.  925222 

.  OO 

.35 
.33 
.35 
.35 
.35 
.35 

.805580 
.805859 
.  800137 
.  806415 
.  806693 
.  806971 

4.  63 
4.65 
4.63 
4.63 
4.63 
4.63 
4.63 

.  194420 
.  194141 
.  193863 
.  193585 
.  193307 
.  193029 

25 
24 
23 
22 
21 
20 

41 
42 
43 
44 
45 
46 
47 

9.  732390 
.  732587 
.  732784 
.  732980 
.  733177 
.  733373 
.  733569 

3.28 
3.28 
3.27 
3.28 
3.27 
3.27 

0  O7 

9.  925141 
.  925060 
.  924979 
.  924897 
.  924816 
.924735 
.  924654 

.35 
.35 
.37 
.35 
.35 
.35 

07 

9'.  807249 
.  807527 
.  807805 
.808083 
.808361 
.  808638 
.  808916 

4.63 
4.63 
4.03 
4.03 
4.02 
4.63 

10.  192751 
.  192473 
.  192195 
.  191917 
.  191639 
.  191362 
.  191084 

19 
18 
17 
16 
15 
14 
13 

48 
49 

.  733705 
.  733961 

O.  £ii 

3.27 

o  97 

.  924572 
.  924491 

.  Ol 

.35 

07 

.  809193 
.  809471 

4.  62 
4.63 

.  190807 
.190529 

12 
11 

50 

.  734157 

o.  Zi 

3.27 

.924409 

.  Of 

.35 

.  809748 

4.  62 
4.62 

.  190252 

10 

51 
52 
53 
54 
55 

9.  734353 
.  734549 
.  734744 
.  734939 
.  735135 

3.27 
3.25 
3.25 
3.27 

3oe 

9.  924328 
.924246 
.  924164 
.  924083 
.  924001 

.37 
.37 
.35 
.37 

9.  810025 
.  810302 
.  810580 
.810857 
.811134 

4.62 
4.03 
4.62 
4.62 

10.  189975 
.  189698 
.  189420 
.  189143 
.188866 

9 
8 
7 
6 
5 

56 

57 
58 

.735330 
.  735525 
.  735719 

.  ZO 

3.25 
3.23 
3  OP; 

.  923919 
.  923837 
.  923755 

.  37 
.37 
.37 

.811410 
.  811687 
.  811964 

4.  60 
4.62 
4.62 

.  188590 
.  188313 
.  188036 

4 
3 
2 

CQ 

60 

.735914 
9.  730109 

.  Zo 
3.25 

.  923673 
9.  923591 

.  37 

.37 

.812241 
9.  812517 

4.  62 
4.00 

.  187759 
10.  187483 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

122' 


57C 


159 


33C 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


146C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.I". 

Cotang. 

' 

0 

9.  736109 

390 

9.  923591 

107 

9.  812517 

10.  1874S3 

60 

1 

.  736303 

.  -<> 

.  923509 

.  O4 

.  812794 

4.  0^ 

.  187206 

59 

2 
3 

.  736498 
.  736692 

3.25 
3.23 

.  923427 
.  923345 

1.  37 
1.37 

.  813070 
.  813347 

4.  60 
4.62 

.  186930 
.  186653 

58 
57 

4 
5 

.  736886 
.  737080 

3.  23 
3.23 

3OO 

.  923263 
.  923181 

1.  37 
1.37 

100 

.  813623 
.  813899 

4.  60 
4.60 

.  186377 
.  186101 

56 
55 

6 

7 

.  737274 

.  737467 

.  —•> 

3.22 

3OO 

.  923098 
.  923016 

.  OO 

1.37 

100 

.814176 
.814452 

4.  60 

4f\f\ 

.  185824 
.  185548 

54 
53 

8 
9 

.  737661 
.  737855 

.  —  O 

3.23 

o  99 

.  922933 
.922851 

.  OO 

1.37 

1OO 

.  814728 
.815004 

:.  CU 

4.60 

.  185272 
.  184996 

52 
51 

10 

.  738048 

O.  —  - 

3.22 

.  922768 

.  OO 

1.37 

.  815280 

4^58 

.  184720 

50 

11 

12 

9.  738241 
.  738434 

3.22 
o  22 

9.  922686 
.  922603 

1.38 

100 

9.  815555 
.  815831 

4.60 

4f\f\ 

10.  184445 

.  18416'J 

49 
48 

13 
14 

.  738627 
.  738820 

3^22 

o  99 

.  922520 
.  922438 

-  OO 

1.37 

100 

.  816107 
.816382 

•  OU 

4.58 
4  fin 

.  183893 
.  183618 

47 
46 

15 
16 
17 
18 
19 

.  739013 
.  739206 
.  739398 
.  739590 
.  739783 

o.  -- 

3.22 
3.20 
3.20 
3.22 

.  922355 
.  922272 
.  922189 
.  922106 
.  922023 

•  OO 

1.38 
1.38 
1.38 
1.38 

100 

.  816658 
.  816933 
.  817209 
.  817484 
.817759 

.  OU 

4.58 
4.60 
4.58 
4.58 

4(\f\ 

.  183342 
.  183067 
.  182791 
.  182516 
.  182241 

45 
44 
43 
42 
41 

20 

.  739975 

3!  20 

.  921940 

,.  OO 

1.38 

.  818035 

.  OU 

4.58 

.  181905 

40 

21 
22 

9.  740167 
.  740359 

3.20 

9.921857 
.921774 

1.38 

9.818310 
.818585 

4.58 

10.  181690 
.  181415 

39 
38 

23 
24 

.  740550 
.  740742 

3.  18 
3.20 
3  on 

.  921691 
.  921607 

1.  38 
1.40 

100 

.818860 
.819135 

4.  58 
4.58 

4   CO 

.  181140 
.  180865 

37 
36 

25 
26 

.  740934 
.  741125 

.  -  u 
3.18 

3  1C 

.  921524 
.  921441 

.  OO 

1.38 

.  819410 
.  819684 

.  Oo 

4.57 

4  CO 

.  180590 
.  180316 

35 
34 

27 
28 
29 

.741316 
.  741508 
.  741699 

.  lo 

3.20 
3.18 

.  921357 
.  921274 
.921190 

L38 
1.40 

.819959 
.820234 
.  820508 

.  Oo 

4.58 
4.57 

.  180041 
.  179766 
.  179492 

33 
32 
31 

30 

.  741889 

3.  17 
3.18 

.  921107 

1.  38 
1.40 

.820783 

4.  58 
4.57 

.  179217 

30 

31 

9.  742080 

31  fi 

9.  921023 

9.  821057 

10.  178943 

29 

32 
33 
34 

.  742271 
.  742462 
.  742652 

.  lo 

3.18 
3.17 

.  920939 
.920856 
.  920772 

L38 
1.40 

.  821332 
.821606 
.  821880 

4^57 
4.57 

.  178668 
.  178394 
.  178120 

28 
27 
26 

35 
36 

.  742842 
.  743033 

3.  17 

3.18 

317 

.920688 
.  920604 

1.  40 
1.40 

.  822154 
.  822429 

4.  57 

4.58 

4C7 

.  177846 
.  177571 

25 
24 

37 

.  743223 

.  I/ 

.  920520 

i   n 

.822703 

:.  Ol 

.  177297 

23 

38 

.  743413 

3.  17 

31  ^ 

.  920436 

1.  40 

1Af\ 

.822977 

4.  57 

4C7 

.  177023 

22 

39 
40 

.  743602 
.  743792 

.  10 

3.17 
3.17 

.  920352 

.  920268 

.  4U 

1.40 
1.40 

.823251 
.823524 

:.  Ol 

4.55 
4.57 

.  176749 
.  176476 

21 
20 

41 

9.  743982 

31  £ 

9.  920184 

8.823798 

4C7 

10.  176202 

19 

42 
43 

.  744171 
.  744361 

.  10 

3.17 

31  £ 

.  920099 
.  920015 

1.40 

.  824072 
.824345 

.  Oi 

4.55 
4  57 

.  175928 
.  175655 

18 
17 

44 
45 

.  744550 
.  744739 

.  10 

3.15 

31  ?! 

.  919931 
.  919846 

L42 

.  824619 
.824893 

4^57 

.  175381 
.  175107 

16 
15 

46 

47 

.  744928 
.  745117 

.  10 

3.15 

.  919762 
.  919677 

1.42 

.825166 
.  825439 

4^55 

.  174834 
.  174561 

14 
13 

48 
49 
50 

.  745306 
.  745494 
.  745683 

3.  15 
3.13 
3.15 
3.13 

.  919593 
.  919508 
.  919424 

1.42 
1.40 
1.42 

.  825713 
.  825986 
.  826259 

4.  57 
4.55 
4.55 
4.55 

.  174287 
.  174014 
.  173741 

12 
11 
10 

51 

9.  745871 

31  £ 

9.  919339 

9.  826532 

4CC 

10.  173468 

9 

52 
53 

.  746060 
.  746248 

.  10 

3.13 

31  Q 

.  919254 
.  919169 

L42 

.826805 
.  827078 

:.  OO 

4.55 

.  173195 
.  172922 

8 

7 

54 
55 

.  746436 
.  746624 

.  lo 

3.13 

.  919085 
.  919000 

1.42 

.827351 
.  827624 

4^55 

4cr 

.  172649 
.  172376 

6 
5 

56 
57 

58 

.746812 
.  746999 
.  747187 

3.  13 
3.12 
3.13 

3  1O 

.  918915 
.918830 
918745 

1.  42 
1.42 
1.42 

14ft 

.  827897 
.  828170 
.  828442 

.  OJ 

4.55 
4.53 

4CC 

.  172103 
.  171830 
.  171558 

4 
3 
2 

59 
60 

.  747374 
9.  747562 

.  1Z 

3.13 

.918659 
9.  918574 

.  4o 

1.42 

.828715 
9.828987 

.  OO 

4.53 

.  171285 
10.  171013 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

56C 


160 


34C 


TANGENTS,  AND  COTANGENTS. 


145C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  747502 

3  1O 

9.  918574 

Ikn 

9.  828987 

4  re 

10.  171013 

60 

1 

.  747749 

.  I/ 
31  O 

.  918489 

.  4Z 

1.40 

.  829200 

.  OO 

4   CO 

.  170740 

59 

2 

.  747930 

.  U 
319 

.  918404 

.  41£ 
ISO 

.  829532 

.  OO 
4  err 

.  170468 

58 

3 
4 

.  748123 
.  748310 

.  U 

3.12 

3  1O 

.  918318 
.  918233 

.  4o 

1.42 

.  829805 
.  830077 

.  OO 

4.53 

4   CO 

.  170195 
.  169923 

57 
56 

5 

.  748497 

.  f  _ 

31  n 

.918147 

1.  43 

1AO 

.  830349 

.  OO 
4  fro 

.  169651 

55 

6 

.  748(83 

.  \\) 

.  918062 

.  4Z 

.  830621 

:.  DO 

.  169379 

54 

7 
8 

.  74S870 
.  7490,j(i 

3.  12 

3.10 
31  iy 

.  917976 
.  917891 

1.  43 
1.42 

1JO 

.  830893 
.831105 

4.  53 
4.53 

4   CO 

.  169107 
.  168835 

53 
52 

9 
10 

.  749243 
.  749429 

.  LA 
3.10 
3.10 

.  917805 
.  917719 

aQI  7(\**A 

.  4o 
1.43 
1.42 

.  831437 
.  831709 

:.  OO 

4.53 
4.53 

.  168563 
.  168291 

51 

50 

11 
12 

9.  749615 
.  749801 

3.10 
31  n 

.  yi  /oo4 
.  917548 

1.43 

IJo 

9.  831981 
.  832253 

4.53 

4  co 

10.  168019 
.  167747 

49 

48 

13 
14 
15 
10 
17 
18 
19 
20 

.  749987 
.  750172 
.  750358 
.  750543 
.  750729 
.  750914 
.  751099 
.  751284 

.  1U 
3.08 
3.10 
3.08 
3.10 
3.08 
3.08 
3.08 
3.08 

.  917462 
.  917370 
.  917290 
.  917204 
.917118 
.  917032 
.  916946 
.  916859 

.  4o 

1.43 
1.43 
1.43 
1.43 
1.43 
1.43 
1.45 
1.43 

.  832525 
.  832790 
.833008 
.  833339 
.833611 
.833882 
.  834154 
.  834425 

:.  OO 

4.52 
4.53 
4.52 
4.53 
4.52 
4.53 
4.52 
4.52 

.  167475 
.  167204 
.  166932 
.  166601 
.  166389 
.166118 
.  165846 
.  165575 

47 
46 
45 
44 
43 
42 
41 
40 

21 

22 

9.  751469 
.  751654 

3.08 
3  no 

9.  916773 
.916687 

1.43 

1AC 

9.  834696 
.  834967 

4.52 

A   Cl> 

10.  105304 
.  165033 

39 
38 

23 
24 

.  751839 
.  752023 

.  Uo 
3.07 
3fio 

.  916600 
.916514 

*  4o 

1.43 

1AK 

.  835238 
.  835509 

4.  OZ 

4.52 

A  £.0 

.  164702 
.  164491 

37 
30 

25 

20 

.  752208 
.  752392 

.  Uo 
3.07 

3H7 

.  916427 
.  916341 

.  4o 

1.43 

IJk 

.  835780 
.  836051 

4.  O.J 

4.52 

4  CO 

.  164220 
.  163949 

35 
34 

27 

28 

.  752576 
.  752760 

.  U* 

3.07 

3rt7 

.  916254 
.  916167 

.  40 

1.45 

1/11 

.  836322 
.  836593 

:.  OA 

4.52 

4  CO 

.  163678 
.  163407 

33 
32 

29 
30 

.  752944 
.  753128 

.  U/ 

3.07 
3.07 

.  916081 
.  915994 

.  4o 

1.45 
1.45 

.  836864 
.  837134 

.  •  >- 

4.50 
4.52 

.  163136 
.  162866 

31 
30 

31 
32 
33 
34 

9.  753312 
.  753495 
.  753079 
.  753862 

3.05 
3.07 
3.07 

3A7 

9.  915907 
.  915820 
.  915733 
.  915646 

1.45 

1*.45 
1.45 

9.  837405 
.  837675 
.  837946 
.  838216 

4.50 
4.52 
4.50 

10.  162595 
.  162325 
.  162054 
.  161784 

29 

28 
27 
26 

35 
36 
37 

38 

.  754046 
.  754229 
.  754412 
.754595 

.  UV 

3.05 
3.05 
3.05 

3f\r 

.  915559 
.  915472 
.  915385 
.  915297 

1.  45 
1.45 
1.  45 
1.47 

1AX 

.  838487 
.  838757 
.  839027 
.  839297 

4.  52 
4.50 
4.50 
4.50 

4  CO 

.  161513 
.  161243 
.  160973 
.  160703 

25 
24 
23 
22 

39 
40 

.  754778 
.  754960 

.  UO 

3.03 
3.05 

.  915210 
.  915123 

.  4o 
1.45 
1.47 

.  839568 
.  839838 

.  O4 

4.50 
4.50 

.  160432 
.  160162 

21 
20 

41 
42 
43 

9.  755143 
.  755326 
.  755508 

3.05 
3.03 

Q  no 

9.  915035 
.  914948 
.  914800 

1.45- 
1.47 

1AK 

9.  840108 
.  840378 
.  840648 

4.50 
4.50 

4,10 

10.  159892 
.  159622 
.  159352 

19 
18 
17 

44 
45 
40 

.  755690 
.  755872 
.  756054 

o.  (Jo 
3.03 
3.03 

o  no 

.  914773 
.  914685 
.  914598 

.  4o 
1.47 
1.45 

1A.7 

.  840917 
.  841187 

.  841457 

.  4o 
4.50 
4.50 
A  c^n 

.  159083 
.  158813 
.  158543 

16 
15 
14 

47 
48 
49 
50 

.  756236 
.  756418 
.  756600 
.  756782 

O.  Uo 

3.03 
3.03 
3.03 
3.02 

.914510 
.  914422 
.  914334 
.  914246 

.  4/ 

1.47 
1.47 
1.47 
1.47 

.  841727 
.  841996 
.842266 
.842535 

4.  DU 

4.48 
4.50 
4.48 
4.50 

.  158273 
.  158004 
.  157734 
.  157465 

13 
12 
11 
10 

51 

9.  756903 

0  (V> 

9.  914158 

1  47 

9.  842805 

4AS1 

10.  157195 

9 

52 
53 
54 
55 
56 
57 

.  757144 
.  757326 
.  757507 
.  757688 
.  757869 
.  758050 

O.  \)£ 

3.03 
3.02 
3.02 
3.02 
3.02 

.  914070 
.  913982 
.  913894 
.  913806 
.  913718 
.  913630 

1.  4/ 

1.47 
1.47 
1.47 
1.47 
1.47 

.  843074 
.  843343 
.  843612 
.  843882 
.  844151 
.  844420 

.  4o 

4.48 
4.48 
4.50 
4.48 
4.48 

.  156926 
.  156657 
.  156388 
.156118 
.  155849 
.  155580 

8 
7 
6 
5 
4 
3 

58 
59 
60 

.  758230 
.758411 
9.  758591 

3.  00 
3.02 
3.00 

.  913541 
.  913453 
9.  913365 

1.  48 
1.47 
1.47 

.  844689 
.  844958 
9.  845227 

4.  48 

4.48 
4.48 

.  155311 
.  155042 
10.  154773 

2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

134C 


55° 


41479—10 11 


161 


35° 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


144° 


' 

Sine. 

D.  1". 

Cosine. 

' 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  758591 

.  758772 

3.02 

9.  913365 
.  913276 

1.48 

9.845227 
.  845496 

4.48 

10.  154773 
.  154504 

60 
59 

2 
3 
4 
5 

.  758952 
.  759132 
.  759312 
.  759492 

3.  00 
3.00 
3.00 
3.00 
3  fin 

.  913187 
.  913099 
.  913010 
.  912922 

1.  48 
1.47 
1.48 
1.47 

.  845764 
.  846033 
.  846302 
.  846570 

4.  47 
4.48 
4.48 
4.47 

A  JV 

.  154236 
.  153967 
.  153698 
.  153430 

58 
57 
56 
55 

6 

7 

.  759672 
.  759852 

.  uu 
3.00 

.912833 
.  912744 

L48 

.  846839 
.  847108 

4.  flp 

4.48 

4J7 

.  153161 

.  152892 

54 
53 

8 

.  760031 

3nn 

.  912655 

1  A' 

.  847376 

.  4f 

4J7 

.  152624 

52 

9 
10 

.760211 
.  760390 

.  UU 
2.98 
2.98 

.  912566 
.  912477 

L48 
1.48 

.  847644 
.  847913 

.  4/ 

4.48 
4.47 

.  152356 
.  152087 

51 

50 

11 

9.  760569 

9.  912388 

9.  848181 

10.  151819 

49 

12 

.  760748 

2.  98 

.  912299 

1.  48 

.  848449 

4.  47 

.  151551 

48 

13 
14 

.760927 
.761106 

2^98 

.  912210 
.912121 

1.  48 
1.48 

Icn 

.  848717 
.  848986 

4.  47 
4.48 

.  151283 
.  151014 

47 
46 

15 

.  761285 

9  QS 

.  912031 

.  oU 

Ijo 

.  849254 

4.  47 

447 

•  .  150746 

45 

16 

.  761464 

«•  *** 

.  911942 

..  4o 

.  849522 

.  4/ 

.  150478 

44 

17 

.  761642 

2.97 

.  911853 

1.48 

Icn 

.  849790 

4.  47 

.  150210 

43 

18 
19 
20 

.  761821 
.  761999 
.  762177 

2^97 
2.97 
2.98 

.911763 
.911674 
.  911584 

.  OU 

1.48 

1.50 
1.48 

.  850057 
.  850325 
.  850593 

4.  47 
4.47 
4.47 

.  149943 
.  149675 
.  149407 

42 
41 

40 

21 
22 
23 

9.  762356 
.  762534 
.  762712 

2.97 

-  2.97 

9.911495 
.911405 
.911315 

1.50 
1.50 

9.  850861 
.851129 
.851396 

4.47 
4.45 

10.  149139 
.  148871 
.  148604 

39 
38 
37 

24 
25 

.  762889 
.  763067 

2.  95 
2.97 

2O7 

.911226 
.911136 

1.  48 
1.50 

1Cf\ 

.  851664 
.851931 

4.  47 
4.45 

.  148336 
.  148069 

36 
35 

26 

.  763245 

.  y/ 

.911046 

.  ou 

.  852199 

4.  47 

.  147801 

34 

27 
28 
29 
30 

.  763422 
.763600 
.  763777 
.  763954 

2.  95 
2.97 
2.95 
2.95 
2.95 

.  910956 
.  910866 
.910776 
.  910686 

1.50 
1.50 
1.50 
1.50 
1.50 

.  852466 
.852733 
.853001 
.  853268 

4.  45 
4.45 
4.47 
4.45 
4.45 

.  147534 
.  147267 
.  146999 
.  146732 

33 
32 
31 

30 

31 

9.  764131 

9.  910596 

9.  853535 

10.  146465 

29 

32 
33 
34 
35 
36 
37 
38 
39 
40 

.764308 
.  764485 
.  764662 
.  764838 
.  765015 
.765191 
.  765367 
.  765544 
.  765720 

2.  95 
2.95 
2.95 
2.93 
2.95 
2.93 
2.93 
2.95 
2.93 
2.93 

.  910506 
.  910415 
.910325 
.  910235 
.910144 
.  910054 
.  909963 
.  909873 
.  909782 

1.  50 
1.52 
1.50 
1.50 
1.52 
1.50 
1.52 
1.50 
1.52 
1.52 

.  853802 
.  854069 
.  854336 
.  854603 
.  854870 
.855137 
.  855404 
.  855671 
.  855938 

4.  45 
4.45 
4.45 
4.45 
4.45 
4.45 
4.45 
4.45 
4.45 
4.43 

.  146198 
.  145931 
.  145664 
.  145397 
.  145130 
.  144863 
.  144596 
.  144329 
.  144062 

28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 

9.  765896 
.  766072 

2.93 

9.  909691 
.  909601 

1.50 
1.  52 

9.  856204 
.  856471 

•  .45 

10.  143796 
.  143529 

19 
18 

43 
44 
45 
46 

47 
48 

.  766247 
.  766423 
.  766598 
.  766774 
.  766949 
.  767124 

2.'  93 
2.92 
2.93 
2.92 
2.92 

.909510 
.  909419 
.  909328 
.  909237 
.  909146 
.  909055 

1.52 
1.52 
1.52 
1.52 
1.52 
Ico 

.  856737 
.857004 
.  857270 
.  857537 
.  857803 
.  858069 

£46 

.43 
.45 
.43 
.48 

.  143263 
.  142996 
.  142730 
.  142463 
.  142197 
.  141931 

17 
16 
15 
14 
13 
12 

49 
50 

.  767300 
.  767475 

2^92 
2.90 

.908964 
.  908873 

.  <  )  — 

1.52 
1.53 

.  858336 
.858602 

'!43 
.43 

.  141664 
.  141398 

11 
10 

51 
52 
53 

9.  767649 
.  767824 
.  767999 

2.92 

2.92 

9.  908781 
.  908690 
.  908599 

1.52 
1.52 

ICQ 

9.858868 
.  859134 
.  859400 

.43 
<.43 

10.  141132 
.  140866 
.  140600 

9 

8 

7 

54 
55 

.  768173 
.  768348 

2.  92 
2  on 

.  908507 
.  908416 

.  OO 

1.52 

CO 

.  859666 
.  859932 

^43 

.  140334 
.  140068 

6 
5 

56 

.  768522 

.  yu 

.  908324 

..  Oo 

.  860198 

'  '  A"* 

.  139802 

4 

57 
58 
59 

.  768697 
.768871 
.  769045 

2.  90 
2.90 

.  908233 
.  908141 
.  908049 

!53 
.53 

.  860464 
.  860730 
.  860995 

4^43 
4.42 

.  139536 
.  139270 
.  139005 

3 
2 
1 

60 

9.  769219 

2.90 

9.  907958 

.52 

9.  861261 

4.  43 

10.  138739 

0 

f 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

162 


36° 


TANGENTS,  AND  COTANGENTS. 


143C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  I". 

Cotang. 

' 

0 

9.  709219 

2Qn 

9.  907958 

ICO 

9.  861261 

4  4^ 

10.  138739 

60 

1 
2 
3 

.  769393 
.769566 

.  769740 

.  yu 
2.88 
2.90 

200 

.  9078G6 
.  907774 
.  907682 

.  OO 

1.53 
1.53 

ICO 

.  861527 
.  861792 
.  862058 

442 
4.43 

.  138473 
.  138208 
.  137942 

59 
58 
57 

4 
5 

.  769913 
.  770087 

.  OO 

2.90 

2QQ 

.  907590 
.  907498 

.  Oo 

1.53 

Iro 

.  862323 
.  862589 

4.  42 
4.43 

.  137677 
.  137411 

56 
55 

6 

7 

.  7702(50 
.  770433 

.  Oo 

2.88 

2QO 

.  907406 
.907314 

.  Oo 

.53 

CO 

.  862854 
.  863119 

4.42 

A  A** 

.  137146 
.  136881 

54 
53 

8 

.  770ii06 

-  OO 
2QQ 

.  907222 

.  Oo 

.  863385 

4.  4o 

4A(\ 

.  136615 

52 

9 
10 

.  770779 
.  770952 

.  OO 

2.88 
2.88 

.  907129 
.  907037 

:!s3 

.53 

.  863650 
.  863915 

.  42 
4.42 
4.42 

.  136350 
.  136085 

51 
50 

11 
12 
13 

9.  771125 

.  77121)8 
.  771470 

2.88 
2.87 

2  GO 

9.  906945 
.  900852 
.  906760 

.55 

:.53 

9.  864180 
.  864445 
.  864710 

4.42 
4.42 

10.  135820 
.  135555 
.  135290 

49 
48 
47 

14 
15 
16 
17 

18 
19 

.  771643 
.  771815 

.  771987 
.  772159 
.  772331 
.  772503 

.  OO 

2.87 
2.87 
2.87 
2.87 
2.87 

207 

.  906667 
.  90()575 
.  906482 
.  906389 
.  906296 
.  906204 

.  55 
.53 
.55 
.55 
.55 
.53 

re 

.  864975 
.  865240 
.865505 
.  865770 
.  866035 
.  866300 

4.  42 
4.42 
4.42 
4.42 
4.42 
4.42 

4Af\ 

.  135025 
.  134760 
.  134495 
.  134230 
.  133965 
.  133700 

46 
45 
44 
43 
42 
41 

20 

.  772675 

.  o/ 
2.87 

.  906111 

.  OO 

1.55 

.  866564 

.  4U 
4.42 

.  133436 

40 

21 
22 
23 
24 
25 
26 

9.  772847 
.  773018 
.  773190 
.  773361 
.  773533 
.  773704 

2.85 

2.87 
2.85 

2.87 
2.85 

2or 

9.  906018 
.905925 
.905832 
.  905739 
.  905645 
.  905552 

1.55 
1.55 
1.55 
1.57 
1.55 

9.  866829 
.  867094 
.  867358 
.  867623 
.  867887 
.  868152 

4.42 
4.40 
4.42 
4.40 
4.42 

10.  133171 
.  132906 
.  132642 
.  132377 
.  132113 
.  131848 

39 
38 
37 
36 
35 
34 

27 

.  773875 

.  OO 

2QC  , 

.  905459 

1.  55 

ICC 

.  868416 

'.  .  40 

.  131584 

33 

28 

.  774046 

.  OO 

2  or 

.  905366 

.00 

1r7 

.  868680 

•  40 

.  131320 

32 

29 
30 

.  774217 
.  774388 

.  oO 

2.85 
2.83 

.905272 
.  905179 

.  O/ 

1.55 
1.57 

.  868945 
.  869209 

'  .  42 
.40 
.40 

.  131055 
.  130791 

31 
30 

31 

9.  774558 

2oc 

9.905085 

9.  869473 

10.  130527 

29 

32 

.  774729 

.  OO 

200 

.  904992 

1.  55 

.  869737 

'  .  40 

Af\ 

.  130263 

28 

33 

.  774899 

.  OO 

2oe 

.  904898 

1.  57 

.  870001 

<  .  4U 

.  129999 

27 

34 
35 

.  775070 
.  775240 

.  OO 

2.83 

.  904804 
.  904711 

1.  57 
1.55 

1C7 

.870265 
.  870529 

'.  .  40 
.40 

.  12973o 
.  129471 

26 
25 

36 

.  775410 

9  ftl 

.  904617 

.  O/ 

Ic.7 

.  870793 

<  .  40 

.    Af\ 

.  129207 

24 

37 
38 
39 
40 

.  775580 
.  775750 
.  775920 
.  776090 

-  -  oo 

2.83 
2.83 
2.83 
2.82 

.  904523 
.  904429 
.904335 
.  904241 

.  O/ 

1.57 
1.57 
1.57 
1.57 

.  871057 
.  871321 

.  871585 
.  871849 

*  .  4U 

4.40 
4.40 
4.40 
4.38 

.  128943 
.  128679 
.  128415 
.  128151 

23 
22 
21 
20 

41 
42 
43 

44 

9.  776259 
.  776429 
.  776598 
.  776768 

2.83 
2.82 
2.83 

2C9 

9.  904147 
.  904053 
.  903959 
.  903864 

1.57 
1.57 
1.58 

9.  872112 
.  872376 
.  873640 
.  872903 

4.40 
4.40 
4.38 

10.  127888 
.  127624 
.  127360 
.  127097 

19 
18 
17 
16 

45 

.  776937 

.  O  J 
9  Q.9 

.  903770 

1.  57 

1C7 

.  873167 

4.  40 

400 

.126833 

15 

46 
47 

.  777106 
.  777275 

-  •  o^ 

2.82 

O  CO 

.  903676 
.  903581 

.  O/ 

1.58 

.873430 
.  873694 

.  oo 
4.40 

.  126570 
.  126306 

14 
13 

48 
49 

.  777444 
.  777613 

Z.  04 
2.82 
2  en 

.  903487 
.  903392 

1.  57 

1.58 

.  873957 
.  874220 

4.  38 
4.38 

.  126043 
.  125780 

12 
11 

50 

.  777781 

.  oU 

2.82 

.  903298 

1.  57 
1.58 

.  874484 

4.  40 
4.38 

.  125516 

10 

51 

9.  777950 

2  CO 

9.  903203 

9.  874747 

10.  125253 

9 

52 
53 

.  778119 
.  778287 

.  0  J 

2.80 
2  on 

.  903108 
.  903014 

1.  58 
1.57 

.  875010 
.  875273 

4.  38 
4.38 

.  124990 
.  124727 

8 
7 

54 
55 
56 

.  778455 
.  778624 
.  778792 

.  OU 

2.82 
2.80 

9  QH 

.  902919 
.902824 
.  902729 

1.  58 
1.58 
1.58 

.  875537 
.  875800 
.  876063 

^38 
.38 

00 

.  124463 
.  124200 
.  123937 

6 
5 
4 

57 

.  778960 

6.  OU 
2OA 

.902634 

1.  58 

.  876326 

.  00 

.  123674 

3 

58 

.  779128 

.  oU 

270 

.  902539 

1.  58 

.  876589 

l,  .  38 

QQ 

.  123411 

2 

59 
CO 

.  779295 
9.  779463 

.  *o 

2.80 

.  902444 
9.  902349 

l'.58 

.  876852 
9.877114 

i  .  oo 

.37 

.  123148 
10.  122886 

1 
0 

' 

Cosine. 

D.  I". 

Sine. 

D.  I". 

Cotang. 

D.  1". 

Tang. 

' 

126° 


53 c 


163 


37  ' 


TABLE  ».— LOGARITHMIC  SINES,  COSINES, 


142e 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

9.  779463 

2  or* 

9.  902349 

9.877114 

10.  122880 

60 

1 

2 
3 

.  779631 
.  779798 
.  779966 

.  oO 

2.78 
2.80 

.  902253 
.  902158 
.  902063 

!ss 

.58 

.  877377 
.  877040 
.  877903 

4.  38 
4.38 
4.38 

477 

.  122023 
.  1223GO 
.  122097 

59 
58 
57 

4 

.  780133 

270 

.  901967 

CO 

.  878165 

.  O/ 

400 

.  121835 

50 

5 

6 

.  780300 

.  780467 

.  /O 

2.78 

.  901872 
.  901776 

.  Oo 

.60 

eg 

.  878428 
.878691 

.  OO 

4.38 

4QT 

.  121572 
.  121309 

55 
54 

7 

.  780634 

2  7ft 

.  901681 

.  Oo 

.878953 

.  Ol 

.  121047 

53 

8 
9 

.  780801 
.780968 

2.  78 

277 

.  901585 
.  901490 

.  GO 
.58 

f\t\ 

.879216 
.  87947S 

4.  38 
4.37 

.  120784 
.  120522 

52 
51 

10 

.781134 

.  /  / 

2.78 

.  901394 

.  w 
.60 

.879741 

4.  38 
4.37 

.  120259 

50 

11 
12 
13 

9.  781301 
.  781468 
.  781634 

2.78 
2.77 

9.  901298 
.901202 
.  901100 

.60 
.60 

9.880003 
.  8802G5 
.  880528 

4.37 
4.38 

10.  119997 
.  119735 
.  119472 

49 
48 
47 

14 
15 

.781800 
.  781960 

2.  77 
2.77 

277 

.  901010 
.  900914 

.  60 
.60 

AH 

.880790 
.881052 

4.37 
4.37 
407 

.  119210 
.  118948 

40 
45 

16 
17 
18 
19 
20 

.  782132 
.  782298 
.  782464 
.  782630 
.  782796 

•  it 

2.77 
2.77 
2.77 
2.77 
2.75 

.  900818 
.900722 
.900626 
.  900529 
.  900433 

.  OU 

.60 
.60 
.62 
.60 
.GO 

.881314 
.  881577 
.  881839 
.882101 
.882363 

.  oY 
4.38 
4.37 
4.37 
4.37 
4.37 

.  118686 
.  118423 
.  118101 
.  117899 
.  117637 

44 
43 
42 
41 
40 

21 

9.  782961 

277 

9.  900337 

A9 

9.  882625 

477 

10.  117375 

39 

22 
23 
24 
25 
26 
27 
28 
29 
30 

.  783127 
.  783292 
.  783458 
.  783623 
.  783788 
.  783953 
.784118 
.  784282 
.  784447 

-  /  / 

2.75 
2.77 
2.75 
2.75 
2.75 
2.75 
2.73 
2.75 
2.75 

.  900240 
.  900144 
.900047 
.  899951 
.  899854 
.  899757 
.  899660 
.  899564 
.  899467 

.  -  _ 

.GO 
.62 
.60 
.62 
.62 
.62 
.60 
.62 
.62 

.  882887 
.883148 
.  883410 
.  883672 
.  883934 
.884196 
.  884457 
.  884719 
.  884980 

.  Ol 

4.35 
4.37 
4.37 
4.37 
4.37 
4.35 
4.37 
4.35 
4.37 

.117113 
.  116852 
.  116590 
.  116328 
.  110000 
.  115804 
.  115543 
.  115281 
.  115020 

38 
37 
36 
35 
34 
33 
32 
31 
30 

31 

32 

9.  784612 

.  784776 

2.73 

27C 

9.  899370 
.  899273 

.62 

9.  885242 
.  885504 

4.37 

40C 

10.  114758 
.114490 

29 
28 

33 
34 

.  784941 
.  785105 

.  to 

2.73 

.  899176 
.  899078 

'.63 

A9 

.  885765 
.  886026 

.  OO 

4.35 

477 

.  114235 
.  113974 

27 

?6 

35 
36 

.785269 
.  785433 

2^73 

270 

.898981 
.898884 

.  '  (- 

.62 

A9 

.  886288 
.886549 

•  of 
4.35 

477 

.113712 
.  113451 

25 
24 

37 
38 

.  785597 
.  785761 

•  fo 

2.73 

270 

.  898787 
.  898689 

.  O-i 

.63 

A9 

.886811 
.887072 

:.  Of 

4.35 
4  35 

.  113189 
.  112928 

23 

22 

39 

40 

.  785925 
.  786089 

.  IO 

2.73 

2.72 

.  898592 
.  898494 

.  '  >- 

.63 
.62 

.  887333 
.887594 

4^35 
4.35 

.  112607 
.  112406 

21 
20 

41 

9.  786252 

277. 

9.  898397 

A7 

9.  887855 

4  OK 

10.  112145 

19 

42 
43 

.  786416 
.  786579 

.  to 

2.72 

279 

.898299 
.  898202 

.  OO 

.62 

A7 

.888116 
.  888378 

:.  OO 

4.37 

4OC 

.  111884 
.  111622 

18 
17 

44 
45 

.  786742 
.  786906 

.  f  •& 

2.73 

279 

.898104 
.  898006 

.  OO 

.63 

.888639 
.888900 

:.  OO 

4.35 

4OC 

.  111361 
.  111100 

16 
15 

46 

.  787069 

.  i  - 

279 

.  897908 

TQ 

.  889161 

:.  OO 
400 

.  110839 

14 

47 

.  787232 

.  1  & 

.  897810 

.  OO 

.889421 

.  OO 
_  oe 

.  110579 

13 

48 
49 

.  787395 
.  787557 

2.  72 
2.70 

.  897712 
.  897614 

.  63 
.63 

.  889682 
.889943 

4.  oo 
4.35 

4  or 

.  110318 
.  110057 

12 

11 

50 

.  787720 

2.  72 
2.72 

.  897516 

.  63 
.63 

.  890204 

.  63 

4.35 

.  109796 

10 

51 
52 

9.  787883 
.  788045 

2.70 

279 

9.897418 
.  897320 

.63 

A7 

9.  890465 
.  890725 

4.33 

4OC 

10.  109535 
.  109275 

9 

8 

53 
54 

.788208 
.  788370 

.  i  ~ 

2.70 

.  897222 
.  897123 

.  OO 

.65 

.  890986 
.891247 

.  OO 

4.35 

477 

.  109014 
.  108753 

7 
6 

55 

.788532 

2.  70 

27H 

.  897025 

.  63 
f»c 

.  891507 

.  OO 
4  or 

.  108493 

5 

56 
57 

.  788694 
.788856 

.  /u 
2.70 

.  896926 
.  896828 

.  OO 

.63 

.891768 
.  892028 

.  OO 

4.33 

.  108232 
.  107972 

4 
3 

58 
59 

.  789018 
.  789180 

2.  70 
2.70 

.896729 
.896631 

.65 
.63 

.  892289 
.  892549 

4.  35 
4.33 

40-r 

.  107711 
.  107451 

2 
1 

60 

9.  789342 

2.  70 

9.  896532 

.  65 

9.  892810 

.  OO 

10.  107190 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

127' 


164 


38C 


TANGENTS,  AND  COTANGENTS. 


141e 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 
6 
7 
8 
9 

9.  789342 
.  789504 
.  789665 
.  789827 
.  789988 
.  790149 
.  790310 
.  790471 
.790632 
.  790793 

2.70 
2.68 
2.70 

2.68 
2.68 
2.68 
2.68 
2.68 
2.68 

9.  896.532 
.  896433 
.  896335 
.  896236 
.  896137 
.  896038 
.  895939 
.  895840 
.  895741 
.  895641 

1.65 
1.63 
1.65 
1.65 
1.65 
1.65 
1.65 
1.65 
1.67 

9.  892810 
.  893070 
.  893331 
.  893591 
.  893851 
.  894111 
.  894372 
.  894632 
.  894892 
.  895152 

4.33 

4.35 
4.33 
4.33 
4.33 
4.35 
4.33 
4.33 
4.33 

10.  107190 
.  106930 
.  106669 
.  106409 
.  106149 
.  105889 
.  105628 
.  105368 
.  105108 
.  104848 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 

10 

.  790954 

2.68 
2.68 

.  895542 

1.65 
1.65 

.  895412 

4.  33 
4.33 

.  104588 

50 

11 
12 

9.  791115 
.  791275 

2.67 

2  Aft 

9.  895443 
.  895343 

1.67 

ftJC 

9.  895672 
.  895932 

4.33 

4OQ 

10.  104328 
.  104068 

49 
48 

13 

.791436 

.  Oo 
2O9 

.  895244 

.  OO 

.  896192 

.  OO 
A  O.Q 

.  103808 

47 

14 
15 

.  791596 
.  791757 

.  O/ 

2.68 

2fC7 

.  895145 
.  895045 

'.67 

("J 

.896452 
.  896712 

4.  oo 

4.33 

A  7.O 

.103548 
.  103288 

46 
45 

16 
17 
18 
19 
20 

.  791917 
.  792077 
.  792237 
.  792397 
.  792557 

.  O/ 

2.67 
2.67 
2.67 
2.67 
2.65 

.  894945 
.  894846 
.  894746 
.  894646 
.  894546 

.  0* 
.65 
.67 
.67 
.67 
.67 

.  896971 
.  897231 
.  897491 
.  897751 
.  898010 

4.  O  Z 

4.33 
4.33 
4.33 
4.32 
4.33 

.  103029 
.  102769 
.  102509 
.  102249 
.  101990 

44 
43 
42 
41 
40 

21 

9.  792716 

9.  894446 

AT 

9.  898270 

A  QQ 

10.  101730 

39 

22 
23 
24 
25 
26 
27 
28 
29 
30 

.  792876 
.  793035 
.  793195 
.  793354 
.  793514 
.  793673 
.  793832 
.  793991 
.  794150 

2.'  65 
2.67 
2.65 
2.67 
2.65 
2.65 
2.65 
2.65 
2.63 

.  894346 
.  894246 
.  894146 
.  894046 
.  893946 
.  893846 
.  893745 
.  893645 
.  893544 

.  O/ 

.67 
.67 
.67 
.67 
.67 
.68 
.67 
.68 
.67 

.  898530 
.  898789 
.  899049 
.  899308 
.  899568 
.  899827 
.900087 
.  900346 
.900605 

4.  oo 

4.32 
4.33 
4.32 
4.33 
4.32 
4.33 
4.32 
4.32 
4.32 

.  101470 
.  101211 
.  100951 
.  100692 
.  100432 
.  100173 
.099913 
.  099654 
.099395 

38 
37 
36 
35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  794308 
.  794467 
.  794626 
.  794784 
.  794942 
.  795101 
.  79.52.59 
.  795417 
.  795575 
.  795733 

2.65 
2.65 
2.63 
2.63 
2.65 
2.63 
2.63 
2.63 
2.63 
2.63 

9.  893444 
.  893343 
.  893243 
.  893142 
.  893041 
.  892940 
.892839 
.  892739 
.  892638 
.  892536 

.68 

.67 
.68 
.68 
.68 
.68 
.67 
.68 
.70 
.68 

9.  900864 
.  901124 
.  901383 
.  901642 
.901901 
.902160 
.902420 
.  902679 
.  902938 
.903197 

4.33 
4.32 
4.32 
4.32 
4.32 
4.33 
4.32 
4.32 
4.32 
4.32 

10.  099136 
.098876 
.  098617 
.098358 
.  098099 
.  097840 
.  097580 
.  097321 
.  097062 
.096803 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 

9.  795891 

9.  892435 

9.  903456 

10.  096544 

19 

42 

.796049 

2.63 

o  f;o 

.  892334 

.68 

AC 

.903714 

4.30 

.  096286 

18 

43 

.  796206 

£1.  '  '-. 

.  892233 

.  .  Oo 
AQ 

.  903973 

,  oo 

.096027 

17 

44 
45 

.  796364 
.  796.521 

2!  62 

2AQ 

.  892132 
.  892030 

.  Oo 

.70 

AQ 

.  904232 
.  904491 

.  .  O  6 

^.32 

.  095768 
.095509 

16 
15 

46 
47 

.796679 
.796836 

.  Do 

2.62 

.  891929 
.  891827 

.  UO 

1.70 

.  904750 
.905008 

<!30 

.095250 
.  094992 

14 
13 

48 

.  796993 

2.  62 

.  891726 

1.  68 

.  905267 

.  32 

.  094733 

12 

49 

.797150 

2.62 

.  891624 

1.70 

.  905526 

^.32 

y    QO 

.  094474 

11 

50 

.  797307 

2.  62 

.  891523 

L70 

.905785 

r  .  o& 

.30 

.094215 

10 

51 
52 
53 
54 

9.  797464 
.  797621 
.  797777 
.  797934 

2.62 
2.60 
2.62 

9.  891421 
.  891319 
.891217 
.891115 

1.70 
1.70 
1.70 

9.  906043 
.906302 
.  906560 
.  906819 

.32 
.30 
.32 

10.  093957 
.  093698 
.  093440 
.  093181 

9 

8 
7 
6 

55 
56 
57 

.  798091 
.  798247 
.  798403 

2.  62 
2.60 
2.60 

.  891013 
.  890911 
.  890809 

1.  70 

1.70 
1.70 

.  907077 
.  907336 
.  907594 

'  .  30 
.32 
'.30 

.  092923 

.  092G64 
.  092406 

5 
4 
3 

58 
59 

.  798.560 
.  798716 

2.60 

()  f'f\ 

.  890707 
.  890605 

1.70 
17n 

.  907853 
.  908111 

<^30 

Of) 

.  092147 
.  091889 

2 
1 

60 

9.  798872 

£•  OU 

9.  890503 

.  /u 

9.  908369 

*  .  oU 

10,091631 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

128C 


51 


165 


39' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


140° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

i 

0 

9.798872 

2ac\ 

9.  890503 

9.908369 

400 

10.091631 

60 

1 

2 

.  799028 
.799184 

.  OU 

2.60 

9  ^Q 

.890400 
.  890298 

.'70 

79 

.  908628 
.908886 

.  62, 
4.30 

.  091372 
.091114 

59 

58 

3 

.  799339 

—  .  Do 

.  890195 

.  <  — 

.909144 

.  30 

.090856 

57 

4 

.  799495 

2ac\ 

.  890093 

.  70 
79 

.  909402 

.  30 

orv 

.090598 

56 

5 

.  799651 

•  OU 

2  58 

.  889990 

.  i  & 
7ft 

.  909660 

'.  .  6\J 
.  OA 

.090340 

55 

6 

.799806 

.889888 

•  /U 
79 

.909918 

'  .  oU 

.090082 

54 

7 

.  799962 

2   CO 

.889785 

.  .  i  — 

.  910177 

•  "^ 

.  089823 

53 

8 

.800117 

.  OO 

.889682 

79 

.  910435 

'.  .  30 

OA 

.089565 

52 

9 

.  800272 

2   CO 

.889579 

•  i  £ 

7A 

.  910693 

.  oU 

.  089307 

51 

10 

.800427 

.  Oo 

2.58 

.889477 

-  /U 

.72 

.  910951 

.  30 
.30 

.  089049 

50 

11 
12 
13 
14 
15 
16 
17 
18 
19 
20 

9.800582 
.  800737 
.800892 
.  801047 
.801201 
.801356 
.801511 
.801665 
.801819 
.  801973 

2.58 
2.58 
2.58 
2.57 
2.58 
2.58 
2.57 
2.57 
2.57 
2.58 

9.  889374 
.889271 
.889168 
.889064 
.888961 
.888858 
.888755 
.888651 
.888548 
.888444 

1.72 
1.72 
1.73 
1.72 
1.72 
1.72 
1.73 
1.72 
1.73 
1.72 

9.911209 
.  911467 
.911725 
.911982 
.  912240 
.912498 
.  91275G 
.913014 
.913271 
.913529 

.30 
.30 
.28 
.30 
.30 
.30 
.30 
.28 
.30 
.30 

10.088791 
.088533 
.088275 
.088018 
.  087760 
.087502 
.  087244 
.  086986 
.  086729 
.  086471 

49 
48 
47 
46 
45 
44 
43 
42 
41 
40 

21 
22 

9.  802128 
.  802282 

2.57 

2C7 

9.888341 
.888237 

1.73 

179 

9.  913787 
.  914044 

.28 

10.  086213 
.085956 

39 

38 

23 
24 

.  802436 
.  802589 

.  o/ 
2.55 

2K7 

.888134 
.888030 

.  <  — 

1.73 

17Q 

.  914302 
.  914560 

'  .  30 
.30 

.085698 
.  085440 

37 
36 

25 
26 

.  802743 
.802897 

.  Of 

2.57 

2CC 

.887926 
.  887822 

•  *  O 

1.73 

170 

.  914817 
.  915075 

!30 

.085183 
.084925 

35 
34 

27 
28 
29 
30 

.  803050 
.  803204 
.  803357 
.  803511 

.  00 

2.57 
2.55 
2.57 
2.55 

.887718 
.  887614 
.887510 

.  887406 

.  /O 

1.73 
1.73 
1.73 
1.73 

.  915332 
.  915590 
.  915847 
.  916104 

<!30 
.28 
.28 
.30 

.084668 
.084410 
.  084153 
.083896 

33 
32 
31 
30 

31 

32 

9.  803664 
.  803817 

2.55 

9  ££ 

9.  887302 
.887198 

1.73 

17C 

9.  916362 
.  916619 

.28 

.  on 

10.  083638 
.083381 

29 
28 

33 
34 

.  803970 
.804123 

-  .  00 

2.55 

9  ££ 

.887093 
.  886989 

•  /O 

1.73 

170 

.  916877 
.917134 

*  .  oU 

^.28 

.083123 
.  082866 

27 
26 

35 
36 

.  804276 
.804428 

-  -  00 

2.55 

9  F.F. 

.886885 
.  886780 

.  /«J 

1.75 

17Q 

.917391 
.  917648 

^28 

.082609 
.082352 

25 
24 

37 
38 
39 
40 

.  804581 
.  804734 
.  804886 
.805039 

—  .  00 

2.55 
2.53 
2.55 
2.53 

.  886676 
.886571 
.886466 
.886362 

.  to 

1.75 
1.75 
1.73 
1.75 

.  917906 
.  918163 
.  918420 
.  918677 

^28 
.28 
.28 
.28 

.082094 
.081837 
.  081580 
.  081323 

23 
22 
21 

20 

41 

9.805191 

9.  886257 

17C 

9.  918934 

00 

10.  081066 

19 

42 

.  805343 

o'  cq 

.886152 

.  /o 

I  7K 

.919191 

*  .  Zo 

.   OQ 

.  080809 

18 

43 
44 
45 
46 
47 
48 
49 
50 

.  805495 
.  805647 
.  805799 
.  805951 
.  806103 
.  806254 
.  806406 
'.  806557 

Z.  Oo 

2.53 
2.53 
2.53 
2.53 
2.52 
2.53 
2.52 
2.53 

.886047 
.885942 
.885837 
.  885732 
.  885627 
.885522 
.885416 
.885311 

1.  /O 

1.75 
1.75 
1.75 
1.75 
1.75 
1.77 
1.75 
1.77 

.  919448 
.919705 
.  919962 
.  920219 
.  920476 
.  920733 
.  920990 
.  921247 

*  .  /O 

4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.27 

.  080552 
.080295 
.  080038 
.  079781 
.  079524 
.079267 
.  079010 
.078753 

17 
16 
15 
14 
13 
12 
11 
10 

51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

9.806709 
.  806860 
.807011 
.  807163 
.807314 
.  807465 
.  807615 
.  807766 
.  807917 
9.  808067 

2.52 
2.52 
2.53 
2.52 
2.52 
2.50 
2.52 
2.52 
2.50 

9.885205 
.  885100 
.  884994 
.884889 
.  884783 
.  884677 
.  884572 
.884466 
.  884360 
9.884254 

1.75 
1.77 
1.75 
1.77 
1.77 
1.75 
1.77 
1.77 
1.77 

9.  921503 
.  9217GO 
.  922017 
.  922274 
.  922530 
.  922787 
.  923044 
.  923300 
.  923557 
9.  923814 

4.28 
4.28 
4.28 
4.27 
4.28 
4.28 
4.27 
4.28 
4.28 

10.078497 
.078240 
.  077983 
.  077726 
.  077470 
.  077213 
.  076956 
.  076700 
.  076443 
10.  076186 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

i 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

129° 


50C 


166 


40° 


TANGENTS,  AND  COTANGENTS. 


139C 


Sine. 

D.  \". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 
5 

6 
7 
8 
9 

9.  808067 
.  808218 
.  808368 
.808519 
.  808669 
.  808819 
.  808969 
.809119 
.809269 
.  809419 

2.52 
2.50 
2.52 
2.50 
2.50 
2.50 
2.50 
2.50 
2.50 

9.  884254 
884148 
.  884042 
.883936 
.883829 
.  883723 
.  883617 
.883510 
.883404 
.  883297 

1.77 
1.77 
1.77 
1.78 
1.77 
1.77 
1.78 
1.77 
1.78 

9.  923814 
.  924070 
.  924327 
.  924583 
.  924840 
.  925096 
.  925352 
.925609 
.925865 
.  926122 

4.27 
4.28 
4.27 
4.28 
4.27 
4.27 
4.28 
4.27 
4.28 

10.  076186 
.075930 
.075673 
.075417 
.  075160 
.  074904 
.  074648 
.  074391 
.  074135 
.  073878 

60 
59 
58 
57 
56 
55 
54 
53 
52 
51 

10 

.809569 

2.  50 
2.48 

.883191 

1.  77 

1.78 

.  926378 

4.  27 
4.27 

.073622 

50 

11 
12 

9.  809718 
.809868 

2.50 

9.  883084 
.  882977 

1.78 
1  77 

9.  926634 
.  926890 

4.27 

4OQ 

10.  073366 
.073110 

49 
48 

13 
14 
15 

.  810017 
.  810167 
.  810316 

2^50 

2.48 

.  882871 
.882764 
.  882657 

1.  /  / 

1.78 
1.78 

17Q 

.  927147 
.  927403 
.  927659 

.  Zo 

4.27 
4.27 

4  f)7 

.  072853 
.072597 
.  072341 

47 
46 
45 

16 
17 
18 
19 

.  810465 
.810614 
.  810763 
.  810912 

2^48 
2.48 
2.48 

o  AQ 

.  882550 
.  882443 
.  882336 
.  882229 

•  to 

1.78 
1.78 
1.78 

1QA 

.  927915 
.  928171 
.928427 
.  928684 

wiR 

4.27 
4.27 
4.28 

A  97 

.  072085 
.  071829 
.  071573 
.  071316 

44 
43 
42 
41 

20 

.811061 

Z.  'iO 

2.48 

.  882121 

.  oU 

1.78 

.  928940 

*±.  Zt 

4.27 

.  071060 

40 

21 
22 
23 
24 
25 
26 

9.  811210 
.  811358 
.  811507 
.  811655 
.811804 
.  811952 

2.47 
2.48 
2.47 
2.48 
2.47 

9.  882014 
.  881907 
.  881799 
.881692 
.  881584 
.  881477 

1.78 
1.80 
1.78 
1.80 
1.78 

9.  929196 
.  929452 
.  929708 
.  929964 
.  930220 
.  930475 

4.27 

4.27 
4.27 
4.27 
4.25 

10.  070804 
.  070548 
.070292 
.  070036 
.069780 
.  069525 

39 
38 
37 
36 
35 
34 

27 
28 
29 
30 

.  812100 

.  812248 
.  812396 
.  812544 

2.  47 
2.47 
2.47 
2.47 
2.47 

.  881369 
.  881261 
.881153 
.  881046 

1.  80 
1.80 
1.80 
1.78 
1  .  80 

.  930731 
.  930987 
.  931243 
.  931499 

4.27 
4.27 

4.27 
4.27 
4.27 

.069269 
.069013 
.068757 
.068501 

33 
32 
31 
30 

31 

9.  812692 

9.  880938 

1-  on 

9.  931755 

10.  068245 

29 

32 
33 
34 
35 
36 
37 
38 

.  812840 
.  812988 
.  813135 
.  813283 
.  813430 
.  813578 
.  813725 

2.  47 
2.45 
2.47 
2.45 
2.47 
2.45 

2AK 

.880830 
.880722 
.  880613 
.  88ar>05 
.880397 
.880289 
.  880180 

.  SU 

1.80 
1.82 
1.80 
1.80 
1.80 
1.82 

1OA 

.  932010 
.  932266 
.  932522 
.  932778 
.  933033 
.  933289 
.  933545 

4.  25 
4.27 
4.27 
4.27 
4.25 
4.27 
4.27 

.  067990 
.  067734 
.  067478 
.  067222 
.066967 
.066711 
.066455 

28 
27 
26 
25 
24 
23 
22 

39 
40 

.813872 
.  814019 

.  4o 
2.45 
2.45 

.880072 
.879963 

.  oO 
1.82 
1.80 

.  933800 
.  934056 

4.  25 
4.27 
4.25 

.066200 
.065944 

21 
20 

41 

9.  814166 

9.  879855 

9.  934311 

10.  065689 

19 

42 
43 
44 
45 
46 
47 
48 

.  814313 
.814460 
.  814607 
.  814753 
.  814900 
.  815046 
.815193 

2.  45 
2.45 
2.45 
2.43 
2.45 
2.43 
2.45 

2ylO 

.  879746 
.  879637 
.  879529 
.  879420 
.879311 
.  879202 
.879093 

1.82 
1.82 
1.80 
1.82 
1.82 
1.82 
1.82 
Ico 

.  934567 
.  934822 
.  935078 
.  935333 
.  935589 
.  935844 
.  936100 

4.27 
4.25 
4.27 
4.25 
4.27 
.25 
.27 

.065433 
.065178 
.064922 
.  064667 
.  064411 
.  064156 
.063900 

18 
17 
16 
15 
14 
13 
12 

49 
50 

.  815339 
.815485 

.  4o 

2.43 

.  878984 
.  878875 

.  o& 
1.82 

.936355 
.  936611 

<!27 

.063645 
.063389 

11 

10 

2.  45 

1.  82 

<.25 

51 
52 

9.  815632 
.  815778 

2.43 

9.  878766 
.878656 

1.83 

9.  936866 
.  937121 

.25 

10.  063134 
.  062879 

9 
8 

53 

.  815924 

2.  43 

.  878547 

1.  82 

.  937377 

'.  .  27 

.  062623 

7 

54 

.  816069 

2.  42 

2   JO 

.  878438 

1.82 

1OQ 

.  937632 

'  .25 

.062368 

6 

55 

.  816215 

.  4o 

.  878328 

.  OO 

.  937887 

4.  25 

.  062113 

5 

56 
57 
58 
59 
60 

.  816361 
.  816507 
.816652 
.  816798 
9.  816943 

2.  43 
2.43 
2.42 
2.43 
2.42 

.  878219 
.  878109 
.  877999 
.  877890 
9.  877780 

1.82 
1.83 
1.83 
1.82 
1.83 

.  938142 
.  93&39S 
.  938653 
.  938908 
9.  939163 

4.25 
4.27 
4.25 
4.25 
4.25 

.061858 
.  061602 
.  061347 
.061092 
10.060837 

4 
3 
2 
1 
0 

f 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  I". 

Tang. 

' 

130C 


49° 


167 


41' 


TABLE  9.— LOGARITHMIC  SINES,  COSINES, 


138' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

9.  816943 
.  817088 

2.42 

9.  877780 
.  877670 

1.83 

100 

9.  939163 
.  939418 

4.25 

10.060837 
.060582 

60 
59 

2 
3 
4 
5 

.  817233 
.  817379 
.  817524 
.  817668 

2^43 
2.42 
2.40 

.  877560 
.  877450 
.  877340 
.  877230 

.  OO 

1.83 
1.83 
1.83 

.  939673 
.  939928 
.  940183 
.  940439 

4.  25 
4.25 
4.27 

.  060327 
.060072 
.  059817 
.  059561 

58 
57 
56 
55 

6 
7 
8 
9 

.817813 
.  817958 
.  818103 
.  818247 

2.42 
2.42 
2.42 
2.40 

.  877120 
.  877010 
.  876899 
.  876789 

1.83 
.83 
.85 
.83 

QC 

.  940694 
.  940949 
.  941204 
.  941459 

4.  25 
4.25 
"  4.25 
4.25 

400 

.  059306 
.059051 
.058796 
.058541 

54 
53 
52 
51 

10 

.  818392 

2.  40 

.  876678 

.  oO 

.83 

.  941713 

•  —  O 

4.25 

.058287 

50 

11 
12 
13 
14 
15 
16 
17 

9.  818536 
.818681 
.818825 
.818969 
.819113 
.819257 
.  819401 

2.42 
2.40 
2.40 
2.40 
2.40 
2.40 

2Af\ 

9.  876568 
.  876457 
.  876347 
.  876236 
.  876125 
.876014 
.  875904 

.85 
.83 
.85 
.85 
.85 
.83 

OC 

9.  941968 
.  942223 
.  942478 
.  942733 
.  942988 
.  943243 
.  943498 

4.25 
4.25 
4.25 
4.25 
4.25 
4.25 

400 

10.  058032 
.057777 
.  057522 
.  057267 
.  057012 
.056757 
.  056502 

49 
48 
47 
46 
45 
44 
43 

18 
19 
20 

.819545 
.  819689 
.819832 

.  4U 
2.40 
2.38 
2.40 

.  875793 
.  875682 
.  875571 

.  OO 

.85 
.85 
.87 

.  943752 
.  944007 
.  944262 

.  Zo 
4.25 

4.25 
4.25 

.056248 
.  055993 
.055738 

42 
41 
40 

21 
22 
23 
24 
25 
26 
27 

9.  819976 
.820120 
.  820263 
.820406 
.  820550 
.820693 
.  820836 

2.40 

2.38 
2.38 
2.40 
2.38 
2.38 

200 

9.  875459 
.  875348 
.  875237 
.875126 
.  875014 
.  874903 
.  874791 

.85 
.85 
.85 
.87 
.85 
.87 

or 

9.  944517 
.  944771 
.  945026 
.  945281 
.  945535 
.  945790 
.  946045 

4.23 

4.25 
4.25 
4.23 
4.25 

4.25 
400 

10.055483 

.  055229 
.  054974 
.054719 
.  054465 
.  054210 
.  053955 

39 
38 
37 
36 
35 
34 
33 

28 
29 
30 

.820979 
.  821122 
.821265 

.  OO 

2.38 
2.38 
2.37 

.  874680 
.874568 
.  874456 

.  OO 

.87 
.87 
.87 

.  946299 
.  946554 
.  946808 

.  2,6 
4.25 
4.23 
4.25 

.  053701 
.  053446 
.  053192 

32 
31 
30 

31 
32 

9.  821407 
.  821550 

2.38 

2OQ 

9.  874344 
.  874232 

.87 

or 

9.  947063 
.947318 

4.25 

4OO 

10.  052937 
.  052682 

29 
28 

33 
34 

.821693 
.  821835 

.  OO 

2.37 

2O7 

.  874121 
.  874009 

.  oO 

.87 

go 

.  947572 
.947827 

.  Zo 

4.25 

.  052428 
.052173 

27 
26 

35 
36 
37 
38 
39 

.  821977 
.  822120 
.  822262 
.822404 
.  822546 

.  O/ 

2.38 
2.37 
2.37 
2.37 

297 

.  873896 
.  873784 
.  873672 
.  873560 
.  873448 

.  oo 

.87 
.87 
1.87 
1.87 

100 

.  948081 
.  948335 
.  948590 
.  948844 
.  949099 

4^23 
4.25 
4.23 
4.25 

4O9 

.051919 
.  051665 
.  051410 
.051156 
.  050901 

25 

24 
23 
22 
21 

40 

.822688 

.  o7 
2.37 

.  873335 

.  oo 
1.87 

.  949353 

.  2,6 
4.25 

.  050647 

20 

41 
42 
43 

9.822830 
.  822972 
.  823114 

2.37 
2.37 

2  or 

9-.  873223 
.  873110 
.  872998 

1.88 

1.87 

100 

9.  949608 
.  949862 
.950116 

4.23 
4.23 

4  or 

10.  050392 
.  050138 

.  049884 

19 
18 
17 

44 

.  823255 

.  6f> 

297 

.  872885 

.  OO 

100 

.  950371 

.  ZO 
499. 

.  049629 

16 

45 

.  823397 

.  o/ 

.  872772 

.  OO 

.  950625 

.  2,6 

.  049375 

15 

46 
47 

.  823539 
.  823680 

2.  37 
2.35 

.872659 
.  872.547 

1.88 
1.87 

.  950879 
.  951133 

4.23 
4.23 

.  049121 
.  048867 

14 
13 

48 

.  823821 

2.  35 

297 

.  872434 

1.88 

.  951388 

4.  25 

.  048612 

12 

49 

.  823963 

.  o7 

.  872321 

1.  88 

.  951642 

<  .  23 

.  048358 

11 

50 

.824104 

2.  35 
2.35 

.  872208 

1.88 
1.88 

.  951896 

'.  .23 
.23 

.  048104 

10 

51 

9.824245 

2  OK 

9.  872095 

Ion 

9.  952150 

10.  047850 

9 

52 
53 

.  824386 
.824527 

.  OO 

2.35 

2OC 

.  871981 
.  871868 

.  yu 

1.88 

ICQ 

.  952405 
.  952659 

!23 

OQ 

.  047595 
.  047341 

8 
7 

54 

.  824668 

.  OO 

.  871755 

.  oo 

.  952913 

.  Zo 
oo 

.  047087 

6 

55 

56 

.824808 
.  824949 

2.  35 

.  871641 
.  871528 

1.  90 

1.88 

.  953167 
.  953421 

.  2:6 

4.23 

.  046833 
.  046579 

5 
4 

57 
58 
59 
60 

.  825090 
.  825230 
.  825371 
9.825511 

2.  35 
2.33 
2.35 
2.33 

.871414 
.  871301 
.  871187 
9.  871073 

1.90 

1.88 
1.90 
1.90 

.  953675 
.  953929 
.  954183 
9.  954437 

4.23 
4.23 
4.23 
4.23 

.  046325 
.  046071 
.  045S17 
10.  045563 

3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  I". 

Cotang. 

D.  1". 

Tang. 

' 

131' 


48° 


IfiS 


42 c 


TANGENTS,  AND  COTANGENTS. 


137' 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

/ 

0 

9.825511 

200 

9.  871073 

1OO 

9.  954437 

4  9^ 

10.  045563 

60 

1 

.  825651 

.  oo 

200 

.  870960 

.  OO 

Ion 

.  954691 

4.  Zo 
4  OF: 

.  045309 

59 

2 
3 

.  825791 
.  825931 

.  oo 
2.33 

200 

.  870846 
.  870732 

.  yu 
1.90 

Inn 

.  954946 
.  955200 

.  Zo 

4.23 

400 

.  045054 
.  044800 

58 
57 

4 
5 
G 
7 
8 
9 
10 

.  826071 
.826211 
.  826351 
.  826491 
.  826631 
.  826770 
.  826910 

.  oo 

2.33 
2.33 
2.33 
2.33 
2.32 
2.33 
2.32 

.  870618 
.  870504 
.  870390 
.  870276 
.  870161 
.  870047 
.  869933 

.  yu 
1.90 
1.90 
1.90 
1.92 
1.90 
1.90 
1.92 

.  955454 
.  955708 
.  955961 
.  956215 
.  956469 
.  956723 
.  956977 

.  Zo 

4.23 
4.22 
4.23 
4.23 
4.23 
4.23 
4.23 

.  044546 
.  044292 
.  044039 
.  043785 
.  043531 
.  043277 
.  043023 

56 
55 
54 
53 
52 
51 
50 

11 
12 
13 

9.  827049 
.827189 
.  827328 

2.33 
2.32 

2QO 

9.  869818 
.  8H9704 
.  869589 

1.90 
1.92 
100 

9.  957231 
.  957485 
.  957739 

4.23 
4.23 

4O*J 

10.  042769 
.  042515 
.  042261 

49 
48 

47 

14 
15 
16 
17 
18 
19 
20 

.  827467 
.  827606 
.  827745 
.  827884 
.  828023 
.  828162 
.  828301 

.  '  >L 

2.32 
2.32 
2.32 
2.32 
2.32 
2.32 
2.30 

.  869474 
.  869360 
.  869245 
.  869130 
.  869015 
.  868900 
.868785 

.  \x& 
1.90 
1.92 
1.92 
1.92 
1.92 
1.92 
1.92 

.  957993 
.  958247 
.  958.500 
.  958754 
.  959008 
.  959262 
.  959516 

:.  -•> 

4.23 
4.22 
4.23 
4.23 
4.23 
4.23 
4.22 

.042007 
.041753 
.  041500 
.  041246 
.  040992 
.  040738 
.  040484 

46 
45 
44 
43 
42 
41 
40 

21 
22 

9.  828439 

.  828578 

2.32- 

2  on 

9.  868670 
.  868555 

1.92 
100 

9.  959769 
.  960023 

4.23 

oo 

10.  040231 
.  039977 

39 
38 

23 
24 

.  828716 
.  828855 

.  oU 

2.32 

2  on 

.  868440 
.  868324 

.  vr2i 
1.93 

1CK) 

.  960277 
.  960530 

'.  .  2,6 
.22 

OQ 

.  039723 
.  039470 

37 
36 

25 
26 

.  828993 
.  829131 

.  ou 

2.30 

2  on 

.  868209 
.  868093 

.  yz 
1.93 
100 

.  960784 
.  961038 

.  £6 
.23 

OQ 

.  039216 
.  038962 

35 
34 

27 

.  829269 

.  oU 
2  on 

.  867978 

.  y/ 

1QO 

.  961292 

.  ZO 

.  038708 

33 

28 
29 
30 

.  829407 
.  829545 
.829683 

.  ou 

2.30 
2.30 
2.30 

.  S67862 
.  867747 
.  867631 

.  \)6 
1.92 
1.93 
1.93 

.  961545 
.  961799 
.962052 

.  22 
4.23 
4.22 
4.23 

.  038455 
.  038201 
.  037948 

32 
31 

30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  829821 
.  829959 
.830097 
.  830234 
.830372 
.830509 
.830646 
.  830784 
.  830921 
.  831058 

2.30 
2.30 

2.28 
2.30 
2.28 
2.28 
2.30 
2.28 
2.28 
2.28 

9.  867515 
.  867399 
.  867283 
.  867167 
.  867051 
.  866935 
.866819 
.  866703 
.866586 
.  866470 

1.93 
1.93 
1.93 
1.93 
1.93 
1.93 
1.93 
1.95 
1.93 
1.95 

9.  962306 
.  962560 
.  962813 
.  963067 
.  963320 
.  963574 
.  963828 
.  964081 
.  964335 
.964588 

4.23 

4.22 
4.23 
4.22 
4.23 
4.23 
4.22 
4.23 
4.22 
4.23 

10.  037694 
.  037440 
.  037187 
.  036933 
.  036680 
.036426 
.  036172 
.035919 
.  035665 
.035412 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 
42 
43 

9.831195 
.  831332 
.  831469 

2.28 
2.28 
o  oo 

9.  866353 
.  866237 
.  866120 

1.93 
1.95 

IftO 

9.  964842 
.  965095 
.  965349 

4.22 
4.23 

10.  035158 
.  034905 
.  034651 

19 
18 
17 

44 
45 
46 
47 
48 
49 
50 

.  831606 
.  831742 
.  831879 
.  832015 
.  832152 
.  832288 
.  832425 

Z*  ^o 
2.27 
2.28 
2.27 
2.28 
2.27 
2.28 
2.27 

.  866004 
.  865887 
.  865770 
.865653 
.  865536 
.  865419 
.  865302 

.  y.i 
1.95 
1.95 
1.95 
1.95 
1.95 
1.95 
1.95 

.965602 
.  965855 
.  966109 
.966362 
.  966616 
.  966869 
.  967123 

4.  22 
4.22 
4.23 
4.22 
4.23 
4.22 
4.23 
4.22 

.  034398 
.034145 
.  033891 
.  033638 
.  033384 
.  033131 
.  032877 

16 
15 
14 
13 
12 
11 
10 

51 

EC) 

53 
54 
55 
56 
57 
58 
59 
60 

9.  832561 
.  832697 
.  832833 
.  832969 
.833105 
.  833241 
.833377 
.833512 
.  833648 
9.  833783 

2.27 
2.27 
2.27 
2.27 
2.27 
2.27 
2.25 
2.27 
2.25 

9.  865185 
.  865068 
.  864950 
.  864833 
.  864716 
.  864598 
.  864481 
.  864363 
.  864245 
9.  864127 

1.95 
1.97 
1.95 
1.95 
1.97 
1.95 
1.97 
1.97 
1.97 

9.  967376 
.  967629 
.  967883 
.  968136 
.  968389 
.  968643 
.  968896 
.  969149 
.  969403 
9.  969656 

4.22 
4.23 
4.22 
4.22 
4.23 
4.22 
4.22 
4.23 
4.22 

10.  032624 
.  032371 
.  032117 
.  031864 
.031611 
.  031357 
.031104 
.  030851 
.030597 
10.  030344 

9 
8 
7 
6 
5 
4 
3 
2 
1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  I". 

Cotang. 

D.  1". 

Tang. 

' 

133 c 


47' 


169 


43° 


TABLE  9.-LOGARITHMIC  SINES,  COSINES, 


136° 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

2 
3 
4 

9.  833783 
.  833919 
.  834054 
.  834189 
.  834325 

2.27 
2.25 
2.25 
2.27 

9  9^ 

9.  864127 
.  864010 
.  863892 
.  863774 
.  863656 

1.95 
1.97 

1.97 
.97 

Q7 

9.  969656 
.969909 
.  970162 
.  970416 
.  970669 

4.22 
4.22 
4.23 
4.22 

10.  030344 
.030091 
.  029838 
.029584 
.  029331 

60 
59 
58 
57 
56 

5 

.  834460 

Z.  _•  ) 

.  863538 

.  •'/ 

.  970922 

3.  ZZ 

.  029078 

55 

6 

.  834595 

2.  25 

29^ 

.  863419 

.98 
Q7 

.971175 

4.22 

A  9°. 

.028825 

54 

7 

.  834730 

.  ZO 
9  9^ 

.863301 

i   *  ' 

Q7 

.  971429 

*±.  Zo 
499 

.028571 

53 

8 

.834865 

-  .  -•  ' 

200 

.863183 

.  y/ 

no 

.  971682 

.  zz 

.028318 

52 

9 
10 

.  834999 
.835134 

.  Zo 
2.25 

2.25 

.  863064 
.  862946 

.  yo 
.97 
.98 

.  971935 

.  972188 

4.  22 
4.22 
4.22 

.028065 
.  027812 

51 
50 

11 
12 

9.  835269 
.  835403 

2.23 

9.  862827 
.  862709 

.97 

9.  972441 
.  972695 

4.23 

10.  027559 

.  027305 

49 
48 

13 

.  835538 

2.  25 
200 

.  862590 

.  98 

.  972948 

4.  22 

.  027052 

47 

14 

.  835672 

.  26 

.  862471 

.  .  98 

.  973201 

4.  22 

.  026799 

46 

15 
16 

.  835807 
.835941 

2.  25 
2.23 

.  862353 
.  862234 

'.98 

.  973454 
.  973707 

4.  22 
4.22 

.  026546 
.  026293 

45 
44 

17 

18 
19 

.  836075 
.836209 
.  836343 

2.  23 
2.23 
2.23 

9  9Q 

.  862115 
.  861996 
.  861877 

!98 
.98 

.  973960 
.974213 
.  974466 

4.  22 
4.22 
4.22 

400 

.  026040 
.  025787 
.025534 

43 
42 
41 

20 

.  836477 

_  .  Zo 

2.23 

.  861758 

2.  00 

.  974720 

.  Zo 

4.22 

.  025280 

40 

21 

9.836611 

9.  861638 

9.  974973 

10.  025027 

39 

22 

.  836745 

2.  23 

o  09 

.861519 

1.  98 

.  975226 

*  4.  22 

A  99 

.  024774 

38 

23 

24 

.  836878 
.  837012 

2.  23 

29Q 

.  861400 
.  861280 

2.  00 

.  975479 
.  975732 

4.  ZZ 

4.22 

499 

.  024521 

.  024268 

37 
36 

25 
26 
27 
28 
29 
30 

.  837146 
.  837279 
.  837412 
.  837546 
.  837679 
.  837812 

.  -  -  > 

2.22 
2.22 
2.23 
2.22 
2.22 
2.22 

.  861161 
.861041 
.860922 
.  860802 
.  860682 
.  860562 

2.  00 
1.98 
2.00 
2.00 
2.00 
2.00 

.  975985 
.  976238 
.  976491 
.  976744 
.  976997 
.  977250 

:.  ZZ 

4.22 
4.22 
4.22 
4.22 
4.22 
4.22 

.024015 
.  023762 
.  023509 
.  023256 
.023003 
.  022750 

35 
34 
33 
32 
31 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

9.  837945 
.  83»078 
.  838211 

!  838*77 
.838610 
.  838742 
.838875 
.839007 
.839140 

2.22 
2.22 
2.22 
2.22 
2.22 
2.20 
2.22 
2.20 
2.22 
2.20 

9.  860442 
.  860322 
.860202 
.860082 
.  859962 
.859842 
.  859721 
.  859601 
.  859480 
.  859360 

2.00 
2.00 
2.00 
2.00 
2.00 
2.02 
2.00 
2.02 
2.00 
2.02 

9.  977503 
.  977756 
.978009 
.  978262 
.  978.515 
.  978768 
.  979021 
.  979274 
.  979527 
.  979780 

4.22 
4.22 
4.22 
4.22 
4.22 
4.22 
4.22 
4.22 
4.22 
4.22 

10.  022497 
.  022244 
.  021991 
.  021738 
.  021485 
.  021232 
.  020979 
.  020726 
.  020473 
.020220 

29 
28 
27 
26 
25 
24 
23 
22 
21 
20 

41 

42 
43 
44 

9.  839272 
.  839404 
.  839536 
.  839668 

2.20 
2.20 
2.20 

9.  859239 
.  859119 
.858998 
.  858877 

2.00 
2.02 
2.02 

9.980033 
.  980286 
.  980538 
.  980791 

4.22 
4.20 

4.22 

10.  019967 
.  019714 
.  019462 
.  019209 

19 
18 
17 
16 

45 
46 
47 
48 
49 
50 

.  839800 
.  839932 
.  840064 
.  840196 
.  840328 
.840459 

2.  20 
2.20 
2.20 
2.20 
2.20 
2.18 
2.20 

.  858756 
.  858635 
.858514 
.858393 
.  858272 
.  858151 

2.  02 
2.02 
2.02 
2.02 
2.02 
2.02 
2.03 

.  981044 
.  981297 
.  981550 
.981803 
.  982056 
.  982309 

4.  22 
4.22 
4.22 
4.22 
4.22 
4.22 
4.22 

.  018956 
.  018703 
.  018450 
.  018197 
.  017944 
.017691 

15 
14 
13 
12 

11 
10 

51 
52 
53 

9.  840591 
.  840722 
.  840854 

2.18 
2.20 

9.  858029 

.  857908 
.857786 

2.02 
2.03 
2  no 

9.  982562 
.  982814 
.983067 

.20 
.22 

99 

10.  017438 
.  017186 
.  016933 

9 
8 

7 

54 
55 

.840985 
.841116 

2.  18 
2.18 

21  Q 

.  857065 
.  857543 

.  (fZ 
2.03 

2  no 

.  983320 
.  983573 

*  .  -- 

.22 

,  99 

.  016680 
.  016427 

6 
5 

56 

.  841247 

.  lo 

.  857422 

.  (jZ 
2rxo 

.  983826 

•  .  ZZ 
.   99 

.016174 

4 

57 
58 

.  841378 
.  841509 

2.  18 
2.18 

2  1C 

.  857300 
.  857178 

.  06 

2.03 

200 

.  984079 
.  984332 

<'.22 
.  on 

.  015921 
.  015668 

3 
2 

59 
60 

.  841640 
9.  841771 

.  lo 
2.18 

.  857056 
9.  856934 

.  Uo 
2.03 

.  984584 
9.  984837 

*  .  Z\) 

.22 

.015416 
10.  015163 

1 
0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

133° 


170 


44' 


TANGENTS,  AND  COTANGENTS. 


135C 


' 

Sine. 

D.  1". 

Cosine. 

D.  1". 

Tang. 

D.  1". 

Cotang. 

' 

0 

1 

9.841771 
.841902 

2.18 

21Q 

9.  856934 

.  856812 

2.03 

2AQ 

9.  984837 
.985090 

4.22 

499 

10.  015163 
.014910 

60 
59 

2 
3 
4 
6 

.842033 
.842163 
.842294 
.  842424 

.  lo 

2.17 
2.18 
2.17 

.  856690 
.856568 
.  856446 
.  856323 

.  Uo 
2.03 
2.03 
2.05 

.  985343 
.  985596 
.  985848 
.  986101 

.  ~-i 

4.22 
4.20 
4.22 

.  014657 
.  014404 
.014152 
.013899 

58 
57 
56 
55 

6 

7 

.  842555 
.842685 

2.  18 
2.17 

217 

.  856201 
.856078 

2.  03 
2.C5 

2  no 

.  986354 
.  986607 

4.  22 
4.22 

499 

.013646 
.013393 

54 
53 

8 
9 

.  842815 
.842946 

.  I/ 

2.18 

217 

.  855956 
.  855833 

.  Uo 
2.05 

2HQ 

.  986860 
.987112 

.  -  -r 

4.20 

499 

.013140 

.012888 

52 
51 

10 

.843076 

.  I/ 

2.17 

.  855711 

.  UO 

2.05 

.  987365 

:.  £i£t 

4.22 

.012635 

50 

11 

9.  843206 

217 

9.855588 

2nC 

9.  987618 

4  99 

10.012382 

49 

12 
13 

.843336 
.843466 

.  I/ 

2.17 

21  K, 

.  855465 
.  855342 

.  UO 

2.05 

2n£ 

.  987871 
.  988123 

4.  ££ 

4.20 

499 

.012129 
.011877 

48 
47 

14 
15 

.843595 
.  843725 

.  lo 
2.17 

21  7 

.855219 
.855096 

.  UO 

2.05 

2  AC 

.988376 
.  988629 

.  ~  w 

4.22 

499 

.011624 
.011371 

46 
45 

16 
17 

.843855 
.  843984 

.  1< 

2.15 

217 

.854973 
.854850 

.  UO 

2.05 

2nC 

.988882 
.  989134 

.  -  w 

4.20 

499 

.011118 
.010866 

44 
43 

18 
19 
20 

.844114 
.  844243 
.844372 

.  I/ 

2.15 
2.15 
2.17 

.  854727 
.854603 
.  854480 

.  UO 

2.07 
2.05 
2.07 

.989387 
.  989640 
.  989893 

.  £i£i 

4.22 
4.22 
4.20 

.010613 
.010360 
.010107 

42 
41 
40 

21 
22 
23 
24 
25 
26 
27 

9.  844502 
.  844631 
.844/60 
.844889 
.  845018 
.845127 
.  845276 

2.15 
2.15 
2.15 
2.15 
2.15 
2.15 

21  c 

9.854356 
.  854233 
.  854109 
.  853986 
.853862 
.  853738 
.  853614 

2.05 
2.07 
2.05 
2.07 
2.07 
2.07 

2A7 

9.  990145 
.  990398 
.990651 
.  990903 
.  991156 
.991409 
.  991662 

4.22 
4.22 
4.20 
4.22 
4.22 
4.22 
4  on 

10.009855 
.  009602 
.009349 
.009097 
.008844 
.008591 
.008338 

39 
38 
37 
36 
35 
34 
33 

28 
29 

.  845405 
.  845533 

.  lo 
2.13 

21  CC 

.  853490 
.853366 

.  U/ 

2.07 

2H7 

.991914 
.  992167 

.  /U 
4.22 

499 

.008086 
.007833 

32 
31 

30 

.845662 

.  lo 
2.13 

.853242 

-  U/ 

2.07 

.992420 

.  £i£i 

4.20 

.007580 

30 

31 

9.  845790 

21  £ 

9.853118 

O  A7 

9.  992672 

499 

10.007328 

29 

32 
33 

34 

.  845919 
.846047 
.  846175 

.  10 
2.13 
2.13 

OIK 

.852994 
.852869 
.852745 

Z.  \)i 

2.08 
2.07 

O  AQ 

.  992925 
.  993178 
.993431 

.  -i-i 

4.22 
4.22 
4  on 

.007075 
.006822 
.006569 

28 
27 
26 

35 

.  846304 

K  15 

21  Q 

.  852620 

6.  US 
2fi7 

.  993683 

.  &J 

499 

.006317 

25 

36 
37 

.846432 
.  846560 

.  lo 
2.13 

21  Q 

.  852496 
.852371 

.  Ol 

2.08 

2H7 

.  993936 
.  994189 

.  ££ 

4.22 

49A 

.006064 
.005811 

24 
23 

38 
39 

.  846688 
.  846816 

.  lo 
2.13 

21  9 

.852247 
.852122 

.  U/ 

2.08 

2C\Q 

.  994441 
.  994694 

.  -'  J 

4.22 

499 

.005559 
.005306 

22 
21 

40 

.846944 

.  lo 

2.12 

.851997 

•  Uo 

2.08 

.994947 

.  £& 

4.20 

.005053 

20 

41 

42 

9.  847071 
.847199 

2.13 

21  o 

9.851872 

.851747 

2.08 

2  no 

9.  995199 
.  995452 

4.22 
4  99 

10.004801 
.004548 

19 
18 

43 
44 

.  847327 
.  847454 

.  lo 

2.12 

.851622 
.851497 

.  Uo 

2.08 

.  995705 
.  995957 

4.  £& 

4.20 
400 

.  004295 
.004043 

17 
16 

45 
46 

47 

.  847582 
.847709 
.  847836 

2.  13 
2.12 
2.12 

21  Q 

.851372 
.851246 
.851121 

2.  08 
2.10 
2.08 
2  no 

.  996210 
.996463 
.  996715 

.  ll 
4.22 
4.20 

49O 

.  003790 
.003537 
.  003285 

15 
14 
13 

48 
49 

.847964 
.848091 

.  lo 

2.12 

2  1O 

.850996 
.  850870 

.  Uo 
2.10 

2AQ 

.  996968 
.  997221 

*  Zt£i 

4.22 

4OA 

.  003032 
.  002779 

12 
11 

50 

.848218 

.  1-J 

2.12 

.850745 

.  Uo 

2.10 

.997473 

.  -U 

4.22 

.002527 

10 

51 
52 
53 
54 
55 
56 

9.848345 
.  848472 
.848599 
.  848726 
.848852 
.848979 

2.12 
2.12 
2.12 
2.10 
2.12 

9.  850619 
.  850493 
.850368 
.  850242 
.850116 
.849990 

2.10 
2.08 
2.10 
2.10 
2.10 

9.  997726 
.  997979 
.998231 
.  998484 
.998737 
.  998989 

4.22 
4.20 
4.22 
4.22 
4.20 

10.002274 
.002021 
.  001769 
.001516 
.001263 
.001011 

9 
8 
7 
6 
5 
4 

57 
58 

.  849106 
.849232 

2.  12 
2.10 

219 

.849864 
.  849738 

2.  10 
2.10 
210 

.  999242 
.  999495 

4.  22 
4.22 
490 

.000758 
.000505 

3 
2 

59 

.849359 

.  L.I 

.849611 

.  i^ 

.  999747 

.  &\j 

.000253 

1 

60 

9.849485 

2.  10 

9.849485 

2.10 

10.000000 

4.  22 

10.000000 

0 

' 

Cosine. 

D.  1". 

Sine. 

D.  1". 

Cotang. 

D.  1". 

Tang. 

' 

134' 


45e 


171 


TABLE  10.-LOGARITHMS  OF  NUMBERS. 


No.  100  L.  000.] 

[No. 

109  L. 

040. 

N. 

0 

1           2 

3 

456 

7 

8 

9 

Diff. 

100 

000000 

0434       0868 

1301 

1734      2166     2598 

3029 

3461 

3891 

432 

1 
2 

4321 
8600 

4751       5181 
9026       9451 

5609 
9876 

6038      6466     6894 

7321 

7748 

8174 

428 

030ft        0794       1  1  47 

1 

941  ^ 

3 

012837 

3259       3680 

4100 

UoiJU        v/^M        J.14/ 

4521      4940     5360 

5779 

6197 

^±10 

6616 

420 

4 

7033 

7451       7868 

8284 

8700      9116     9532 

9947 

0361 

0775 

416 

5 

021189 

1603       2016 

2428 

2841      3252     3664 

4075 

4486 

4896 

412 

6 

5306 

5715       6125 

6533 

6942      7350     7757 

8164 

8571 

8978 

408 

7 

9384 

9789 

0195 

OflOO 

i  nn  j.      i  j.nft     i  s  1  9 

991  fi 

2619 

3021 

404 

8 
g 

033424 
7426 

3826       4227 
7825       8223 

uouu 
4628 
8620 

lUU-i         l-JUo        1O1Z 

5029      5430     5830 
9017      9414     9811 

6230 

6629 

7028 

4U4 

400 

04 

0207 

0602 

0998 

397 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

434 

43.4 

86.8 

130. 

2 

173.6 

217.0 

260.4 

303.8 

347.2 

390.  6 

433 

43.3 

86.6 

129.9 

173.2 

216.5 

259.8 

303. 

1 

346.4 

389.7 

432 

43.2 

86.4 

129. 

8 

172 

.8 

216.0 

259.2 

302. 

4 

34 

5.6 

3 

88.8 

431 

43.1 

86.2 

129. 

3 

172.4 

215.5 

258.6 

301. 

7 

344.8 

387.9 

430 

43.0 

86.0 

129. 

o 

172 

.0 

215.0 

258.0 

301. 

0 

34 

4.0 

3 

87.0 

429 

42.9 

85.8 

128. 

7 

171 

.8 

214.5 

257.4 

300. 

3 

34 

3.2 

3 

86.1 

428 

42.8 

85.6 

128.4 

171.  2 

214.0 

256.8 

299.6 

342.4 

385.2 

427 

42.7 

85.4 

128. 

1 

17C 

.8 

213.5 

256.2 

298. 

9 

34 

1.6 

3 

84.3 

426 

42.6 

85.2 

127. 

8 

170.4 

213.0 

255.6 

298.2 

340.8 

383.4 

425 

42.5 

85.0 

127. 

5 

170.0 

212.5 

255.0 

297.5 

340.0 

382.5 

424 

42.4 

84.8 

127. 

2 

16S 

.8 

212.0 

254.4 

296.8 

339.2 

381.6 

423 

42.3 

84.6 

126.9 

169.  2 

211.5 

253.8 

296.1 

338.4 

380.7 

422 

42.2 

84.4 

126. 

6 

168 

.8 

211.0 

253.2 

295. 

4 

33 

7.6 

3 

79.8 

421 

42.1 

84  2 

126.3 

168.4 

210.5 

252.6 

294. 

7 

336.8 

378.9 

420 

42.0 

84.0 

126. 

0 

168 

.0 

210.0 

252.0 

294. 

0 

33 

6.0 

3 

78.0 

419 

41.9 

83.8 

125. 

7 

16' 

.6 

209.5 

251.4 

293. 

3 

33 

5.2 

3 

77.1 

418 

41.8 

83.6 

125.4 

167.2 

209.0 

250.8 

292. 

6 

334.4 

376.2 

417 

41.7 

83.4 

125. 

1 

16( 

.8 

208.5 

250.2 

291. 

9 

33 

3.6 

3 

75.3 

416 

41.6 

83.2 

124. 

8 

16( 

.4 

208.0 

249.6 

291. 

2 

33 

2.8 

3 

74.4 

415 

41.5 

83.0 

124. 

5 

166.0 

207.5 

249.0 

290.5 

332.0 

373.5 

414 

41.4 

82.8 

124. 

2 

165.6 

207.0 

248.4 

289. 

S 

331.2 

372.6 

413 

41.3 

82.6 

123.9 

165.2 

206.5 

247.8 

289. 

1 

330.4 

371.7 

412 

41.2 

82.4 

123. 

(i 

164 

.8 

206.0 

247.2 

288. 

4 

32 

9.6 

3 

70.8 

411 

41.1 

82.2 

123. 

3 

164 

.4 

205.5 

246.6 

287. 

7 

32 

8.8 

3 

69.9 

410 

41.0 

82.0 

123.0 

164.0 

205.0 

246.0 

287.0 

328.0 

369.0 

409 

40.9 

81.8 

122 

7 

16C 

(.6 

204.5 

245.4 

286. 

3 

32 

7.2 

3 

68.1 

408 

40.8 

81.6 

122. 

4 

IK 

1.2 

204.0 

244.8 

285. 

(3 

32 

6.4 

3 

67.2 

407 

40.7 

81.4 

122.  1 

162.8 

203.5 

244.2 

284. 

9 

325.6 

366.3 

406 

40.6 

81.2 

121. 

8 

163 

5.4 

203.  0 

243.6 

284. 

2 

32 

4.8 

3 

65.4 

405 

40.5 

81.0 

121 

5 

162.0 

202.5 

243.0 

283.5 

324.0 

364.5 

404 

40.4 

80.8 

121 

2 

161.6 

202.0 

242.4 

282.8 

323.2 

363.6 

403 

40.3 

80.6 

120 

9 

16] 

L.2 

201.5 

241.8 

282. 

1 

32 

2.4 

3 

62.7 

402 

40.2 

80.4 

120.6 

160.8 

201.0 

241.2 

281.4 

321.6 

361.8 

401 

40.1 

80.2 

120 

3 

1« 

).4 

200.5 

240.  6 

280. 

1 

32 

0.8 

3 

60.9 

400 

40.0 

80.0 

120 

0 

16( 

1.0 

200.0 

240.0 

280. 

0 

32 

0.0 

3 

60.0 

399 

39.9 

79.8 

119.7 

159.6 

199.5 

239.4 

279.3 

319.2 

359.1 

398 

39.8 

79.6 

119 

4 

15< 

t.2 

199.0 

238.8 

278. 

6 

31 

8.4 

3 

58.2 

397 

39.7 

79.4 

119 

1 

Itt 

J.8 

198.5 

238.  2 

277. 

9 

31 

7.6 

3 

57.3 

396 

39.6 

79.2 

118.8 

158.4 

198.0 

237.6 

277.2 

316.8 

356.4 

395 

39.5 

79.0 

118.5 

158.0 

197.5 

237.0 

276.5 

316.0 

355.5 

172 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  110  L.  041.] 

[No. 

119  L.  078. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9       Diff. 

110 

041393 

1787 

2182 

2576 

2909 

3362 

3755 

4148 

4540 

4932     393 

1 
2 

5323 
9218 

5714 
9000 

6105 
9993 

6495 

6885 

7275 

7664 

8053 

8442 

8830     390 

y^io 

0380 

0766 

1153 

1538 

1924 

2309 

2694     386 

3 

053078 

3463 

3846 

4230 

4613 

4996 

5378 

5760 

6142 

6524     383 

4 

6905 

7286 

7666 

8046 

8426 

8805 

9185 

9563 

9942 

0320     379 

5 

060698 

1075 

1452 

1829 

2206 

2582 

2958 

3333 

3709 

4083     376 

6 

4458 
8186 

4832 
8557 

5206 

8928 

5580 
9298 

5953 
9668 

6326 

6099 

7071 

7443 

7815     373 

00^8 

0407 

1  .. 

1514     370 

8 

071882 

2250 

2017 

2985 

3352 

UUoo 

3718 

U4-U/ 

4085 

4451 

4816 

5182     366 

9 

5547 

5912 

6276 

6640 

7004 

7308 

7731 

8094 

8457 

8819     363 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

395 

39.5 

79.0 

118.5 

158.0 

197.5 

237.0 

276. 

5 

316.0 

355.5 

394 

39.4 

78.  J 

I 

118. 

2 

15- 

'.0 

1 

97.0 

236.  4 

275. 

8 

31 

5.2 

354.6 

393 

39.3 

7S.6 

117 

9 

157.2 

196.5 

235.  8 

275.1 

314.4 

353.7 

392 

39.2 

78.' 

1 

117 

0 

15( 

1.8 

1 

90.0 

235.2 

274. 

4 

3] 

3.6 

352.8 

391 

39.1 

78.2 

117. 

3 

156.4 

195.5 

234.6 

273. 

7 

312.8 

351.9 

390 

39.0 

78.  ( 

) 

117 

0 

15( 

i.O 

1 

95.0 

234.0 

273. 

0 

31 

2.0 

351.0 

389 

38.9 

77.8 

116.  7 

155.6 

194.5 

233.  4 

272. 

311.2 

350.1 

388 

38.8 

77.  ( 

i 

116 

4 

15, 

).2 

1 

94.0 

232.8 

271. 

0 

31 

0.4 

349.  2 

387 

38.7 

77.^ 

I 

116.1 

154.8 

193.5 

232.2 

270. 

9 

309.6 

348.3 

386 

38.6 

77.1 

> 

115 

8 

15; 

1.4 

1 

93.0 

231.6 

270. 

2 

3C 

8.8 

347.4 

385 

38.5 

77.0 

115.5 

154.0 

192.5 

231.0 

269. 

5 

3C 

8.0 

346.5 

384 

38.4 

76.8 

115 

9 

153.6 

192.0 

230.  4 

268.  8 

307.2 

345.6 

383 

38.3 

76.6 

114 

9 

153.2 

191.5 

229.8 

208. 

1 

306.  4 

344.7 

382 

38.2 

76.; 

I 

114 

0 

15' 

2.8 

1 

91.0 

229.2 

267. 

4 

3C 

5.6 

343.8 

381 

38.1 

76.2 

114 

3 

152.4 

190.5 

228.6 

266. 

7 

304.8 

342.9 

380 

38.0 

76.  ( 

) 

114 

0 

15 

2.0 

1 

90.0 

228.0 

266. 

0 

3C 

4.0 

342.0 

379 

37.9 

75.8 

113.7 

151.6 

] 

89.5 

227.4 

265. 

3 

303.2 

341.1 

378 

37.8 

75. 

| 

113 

4 

15 

L.2 

;  i 

89.0 

226.8 

264. 

0 

3( 

2.4 

340.2 

377 

37.7 

75. 

t 

113 

1 

15( 

).8 

i 

88.5 

226.2 

263. 

9 

3C 

1.6 

339.3 

376 

37.6 

75.2 

112.8 

150.4 

188.0 

225.6 

203. 

2 

300.8 

338.  4 

375 

37.5 

75.0 

112.5 

150.0 

187.5 

225.0 

262. 

5 

300.0 

337.  5 

374 

37.4 

74.8 

112.2 

149.6 

187.0 

224.4 

261. 

8 

299.2 

336.6 

373 

37.3 

74. 

5 

111 

9 

14 

t.2 

1 

86.5 

223.8 

261. 

1 

2f 

8.4 

335.7 

372 

37.2 

74.4 

111 

6 

148.8 

186.0 

223.2 

260. 

4 

297.6 

334.8 

371 

37.1 

74. 

2 

111 

3 

14 

S.4 

1 

85.5 

222.6 

259. 

7 

2< 

(6.8 

333.9 

370 

37.0 

74. 

\ 

111 

0 

14 

vO 

1 

85.0 

222.0 

259 

0 

2< 

)6.0 

333.0 

309 

36.9 

73. 

S 

110 

7 

147.6 

184.5 

221.  i 

258.  3 

295.2 

332.1 

308 

36.8 

73. 

> 

110 

4 

14 

r.2 

1 

84.0 

220.8 

257 

6 

2< 

)4.4 

331.2 

367 

36.7 

73.4 

110 

1 

146.8 

183.5 

220.2 

256.9 

293.6 

330.3 

366 

36.6 

73. 

2 

109 

8 

14 

14 

1 

83.0 

219.  6 

256 

2 

2{ 

)2.8 

329.4 

365 

36.5 

73.0 

109 

5 

146.0 

182.5 

219.0 

255.7 

292.0 

328.5 

364 

36.4 

72.8 

109 

2 

145.6 

182.0 

218.4 

254 

8 

291.2 

327.6 

363 

36.3 

72. 

i 

108 

9 

14 

r>.  2 

] 

81.5 

217.8 

254 

1 

2< 

)0.4 

326.7 

362 

36.2 

72. 

1 

108.6 

144.8 

181.0 

217.2 

253 

4 

289.6 

325.8 

361 

36.1 

72. 

2 

108 

3 

14 

1.4 

1 

80.5 

216.0 

252 

7 

2? 

58.8 

324.9 

360 

36.0 

72. 

0 

108 

0 

14 

1.0 

] 

80.0 

210.0 

252 

0 

2? 

58.0 

324.0 

359 

35.9 

71. 

8 

107 

7 

143.6 

179.5 

215.4 

251 

3 

287.2 

323.1 

358 

35.8 

71. 

i 

107 

4 

14 

5.2 

1 

79.0 

214.8 

250 

6 

2* 

56.4 

322.2 

357 

35.7 

71. 

4 

107 

.1 

142.8 

178.5 

214.2 

249 

9 

285.6 

321.3 

356 

35.6 

71. 

2 

106 

.8 

142.4 

178.0 

213.6 

249.2 

284.8 

320.4 

173 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  120  L.  079.]                                                                                       [No. 

134  L.  130. 

N. 

0 

1 

2 

3 

4 

5 

6 

1 

_!_|_!_ 

Diff. 

™ 

070181 

QCJ10 

9904 

u/y 

yoio 

0206 

0626 

0987 

1347 

1707 

2067 

2420 

300 

1 

082785 

3144 

3503 

3861 

4219 

4576 

4934 

5291 

5047 

(5004 

357 

2 

6300 
990o 

6716 

7071 

7426 

7781 

8136 

8490 

8845 

9198 

9552 

355 

0258 

or  11 

0963 

1315 

1667 

2018 

2370 

2721 

3071 

352 

4 

093422 

3772 

4122 

4471 

4820 

5169 

5518 

5806 

6215 

6562 

349 

7MO1 

8044 

8990 

9335 

9081 

uy 

'     ' 

/OU± 

'  J 

0026 

346 

6 

100371 

0715 

1059 

1403 

1747 

2091 

2434 

2777 

3119 

3462 

343 

7 

3804 
79in 

4146 

4487 
7000 

4828 
8227 

5109 
8565 

5510 

5851 
9241 

6191 
9579 

6531 
9916 

6871 

341 

/  £\\j 

/o4y 

{  ooo 

0253 

338 

9 

110590 

0926 

1263 

1599 

1934 

2270 

2005 

2940 

3275 

3609 

335 

130 

3943 

7971 

4277 

7AHQ 

4611 
/934 

4944 
8205 

5278 
8595 

5611 

8926 

5943 
9256 

6276 

9586 

6608 
9915 

6940 

333 

• 

i  ~  i  1 

/OUo 

0245 

330 

2 

120574 

0903 

1231 

1500 

1888 

2216 

2544 

2871 

3198 

3525 

328 

3 

3852 

710*1 

4178 

4504 

77^0 

4830 
8076 

5156 
8399 

5481 

8722 

5806 
9045 

6131 
9368 

6456 
9690 

6781 

325 

/  1UO 

13 

/  /oo 

0012 

323 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

355 

35.5 

71.0 

106.5 

142.0 

177.5 

213.  0 

248.5 

284.0 

319.5 

354 

35.4 

70.8 

106.2 

141.6 

177.0 

212.4 

247.8 

2£ 

3.2 

318.6 

353 

35.3 

70.6 

105.9 

141.2 

176.5 

211.8 

247.1 

282.4 

317.7 

352 

35.2 

70.4 

105.6 

140.8 

176.0 

211.2 

246.4 

2S 

1.6 

316.8 

351 

35.1 

70.2 

105.3 

140.4 

175.5 

210.6 

245.7 

280.8 

315.9 

350 

35.0 

70.0 

105.0 

140.0 

175.0 

210.0 

245.0 

2£ 

0.0 

315.0 

349 

34.9 

69.8 

104.7 

139.6 

174.5 

209.4 

244.3 

27 

9.2 

314.1 

348 

34.8 

69.6 

104.4 

139.2 

174.0 

208.8 

243.6 

278.4 

313.2 

347 

34.7 

69.4 

104.1 

138.8 

173.5 

208.2 

242.9 

27 

7.6 

312.3 

346 

34.6 

69.2 

103.8 

138.4 

173.0 

207.6 

242.  2 

276.8 

311.4 

345 

34.5 

69.0 

103.5 

138.0 

172.5 

207.0 

241.5 

276.0 

310.5 

344 

34.4 

68.8 

103.2 

137.6 

172.0 

206.4 

240.8 

275.2 

309.6 

343 

34.3 

68.6 

102.9 

137.2 

171.5 

205.8 

240.1 

27 

4.4 

308.7 

342 

34.2 

68.4 

102.6 

136.8 

171.0 

205.  2 

239.  4 

27 

3.6 

307.8 

341 

34.1 

68.2 

102.3 

136.4 

170.5 

204.6 

238.7 

272.8 

306.9 

340 

34.0 

68.0 

102.0 

136.0 

170.0 

204.0 

238.0 

27 

2.0 

306.0 

339 

33.9 

67.8 

101.7 

135.6 

169.  5 

203.4 

237.3 

271.2 

305.1 

338 

33.8 

67.6 

101.4 

135.2 

169.0 

202.8 

236.6 

27 

0.4 

304.2 

337 

33.7 

67.4 

101.1 

134.8 

168.5 

202.2 

235.9 

269.  6 

303.  3 

336 

33.6 

67.2 

100.8 

134.4 

168.0 

201.6 

235.2 

268.8 

302.4 

335 

33.5 

67.0 

100.5 

134.0 

167.  5 

201.0 

234.5 

208.0 

301.5 

334 

33.4 

66.8 

100.2 

133.6 

167.0 

200.4 

233.8 

267.2 

300.6 

333 

33.3 

66.6 

99.9 

133.2 

166.5 

199.8 

233.  1 

2d 

6.4 

299.7 

332 

33.2 

66.4 

99.6 

132.8 

166.0 

199.2 

232.4 

265.6 

298.8 

331 

33.1 

66.2 

99.3 

132.4 

165.5 

198.6 

231.  7 

2( 

4.8 

297.9 

330 

33.0 

66.0 

99.0 

132.0 

165.0 

198.0 

231.0 

2C 

4.0 

297.0 

329 

32.9 

65.8 

98.7 

131.6 

164.5 

197.4 

230.  3 

263.  2 

296.1 

328 

32.8 

65.6 

98.4 

131.2 

164.0 

196.8 

229.6 

2f 

2.4 

295.2 

327 

32.7 

65.4 

98.1 

130.8 

103.5 

196.2 

228.9 

261.  6 

294.3 

326 

32.6 

65.2 

97.8 

130.  4 

103.  0 

195.6 

228.2 

260.  8 

293.4 

325 

32.5 

65.0 

97.5 

130.0 

102.  5 

195.0 

227.  5 

260.0 

292.5 

324 

32.4 

64.8 

97.2 

129.6 

102.0 

194.4 

220.  8 

259.2 

291.6 

323 

32.3 

64.6 

96.9 

129.2 

101.5 

193.  8 

226.1 

21 

8.4 

290.7 

322 

32.2 

64.4 

96.6 

128.8 

161.0 

193.2 

225.4 

257.6 

289.8 

174 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  135  L.  130.] 

[No. 

149  L.  175. 

N. 

0 

1           2 

3 

4 

5 

6 

7 

8 

9 

Difl. 

135 

130334 

0655       0977 

1298 

1619 

1939 

2260 

2580 

2900 

3219 

321 

6 

3539 

3858       4177 

4496 

4814 

5133 

5451 

5769 

6086 

6403 

318 

7 
g 

6721 

9879 

7037       7354 

7671 

7987 

8303 

8618 

8934 

9249 

9564 

316 

01  Q4.         ft^DR 

0822 

1136 

1450 

1763 

2076 

2389 

2702 

314 

9 

143015 

uiy"±       uouo 
3327       3639 

3951 

4263 

4574 

4885 

5196 

5507 

5818 

311 

140 

6128 

no  I  n 

6438       6748 

QC97           ORQ£ 

7058 

7367 

7676 

7985 

8294 

8603 

8911 

309 

. 

yjiy 

yoz<        yooo 

0142 

0449 

0756 

1063 

1370 

1676 

1982 

307 

2 

1522S8 

2594       2900 

3205 

3510 

3815 

4120 

4424 

4728 

5032 

305 

3 

5330 

5640       5943 

6246 

6549 

6852 

7154 

7457 

7759 

8061 

303 

ooj;o 

Qf\(\A           kQjl^ 

9266 

9567 

!)S6S 

OOO-i 

oOu'±       oyoo 

0168 

0469 

0769 

1068 

301 

5 

161368 

1667       1967 

2266 

2564 

2863 

3161 

3460 

3758 

4055 

299 

6 

4353 

4650       4947 

5244 

5541 

5838 

6134 

6430 

6726 

7022 

297 

7 

7317 

7613       7908 

8203 

8497 

8792 

9086 

9380 

9674 

9968 

295 

8 

170262 

0555       0848 

1141 

1434 

1726 

2019 

2311 

2603 

2895 

293 

9 

3186 

3478       3769 

4060 

4351 

4641 

4932 

5222 

5512 

5802 

291 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

321 

32.1 

64.2 

96. 

3 

128.4 

160.5 

192.6 

224. 

7 

256.8 

288.9 

320 

32.0 

64.0 

96. 

0 

128.0 

160.0 

192.0 

224. 

0 

256.0 

288.0 

319 

31.9 

63.8 

95. 

7 

127 

.C> 

1 

59.5 

191.4 

223. 

3 

25 

5.2 

287.1 

318 

31.8 

63.6 

95. 

4 

127.2 

159.0 

190.8 

222. 

8 

254.4 

286.2 

317 

31.7 

63.4 

95. 

1 

126 

.8 

1 

58.5 

190.2 

221. 

g 

25 

3.6 

285.3 

316 

31.6 

63.2 

94. 

8 

126 

.4 

1 

58.0 

189.6 

221. 

2 

25 

2.8 

284.4 

315 

31.5 

63.0 

94. 

5 

126.0 

157.5 

189.0 

220.5 

252.0 

283.5 

314 

31.4 

62.8 

94. 

2 

125 

.6 

1 

57.0 

188.4 

219. 

8 

25 

1.2 

282.  6 

313 

31.3 

62.6 

93. 

9 

125.2 

156.5 

187.8 

219.1 

250.4 

281.7 

312 

31.2 

62.4 

93. 

6 

124.8 

156.0 

187.2 

218.4 

249.6 

280.8 

311 

31.1 

62.2 

93.3 

124.4 

155.5 

186.  6 

217. 

7 

248.8 

279.9 

310 

31.0 

62.0 

93. 

0 

124 

.0 

1 

55.0 

186.0 

217. 

0 

24 

8.0 

279.0 

309 

30.9 

61.8 

92. 

7 

123.6 

154.5 

185.4 

216. 

3 

247.2 

278T  1 

308 

30.8 

61.6 

92. 

4 

123 

.2 

1 

54.0  , 

184.8 

215. 

(i 

24 

6.4 

277.2 

307 

30.7 

61.4 

92. 

1 

122.8 

153.5 

184.2 

214. 

!) 

245.6 

276.3 

306 

30.6 

61.2 

91. 

8 

122 

.4 

1 

53.0 

183.6 

214. 

'2 

24 

4.8 

275.4 

305 

30.5 

61.0 

91. 

5 

122 

.0 

1 

52.5 

183.0 

213. 

,') 

24 

4.0 

274.5 

304 

30.4 

60.8 

91. 

2 

121 

.6 

152.0 

182.4 

212.8 

•243.  2 

273.6 

303 

30.3 

60.6 

90. 

g 

121 

.2 

1 

51.5 

181.8 

212. 

1 

24 

2.4 

272.7 

302 

30.2 

60.4 

90. 

6 

120.8 

151.0 

181.2 

211. 

4 

241.6 

271.8 

301 

30.1 

60.2 

90. 

3 

120.4 

150.5 

180.6 

210.7 

240.8 

270.9 

300 

30.0 

60.0 

90. 

0 

120 

.0 

1 

50.0 

180.0 

210. 

0 

24 

0.0 

270.0 

299 

29.9 

59.8 

89. 

7 

119.6 

149.5 

179.4 

209. 

3 

239.2 

269.1 

298 

29.8 

59.6 

89. 

4 

119 

.2 

1 

49.0 

178.8 

208. 

6 

23 

8.4 

268.2 

297 

29.7 

59.4 

89. 

1 

118 

.8 

1 

48.5 

178.  2 

207. 

9 

23 

7.6 

267.3 

296 

29.6 

59.2 

88. 

8 

118.4 

148.0 

177.6 

207. 

2 

236.8 

266.4 

295 

29.5 

59.0 

88. 

5 

US 

.0 

1 

47.5 

177.  0 

206. 

5 

23 

6.0 

265.5 

294 

29.4 

58.8 

88. 

2 

117 

.(I 

1 

47.0 

176.4 

205. 

S 

23 

5.2 

264.6 

293 

29.3 

58.6 

87. 

g 

117.2 

146.5 

175.8 

205. 

1 

234.4 

263.7 

292 

29.2 

58.4 

87.6 

116.8 

146.0 

175.2 

204. 

4 

233.6 

262.8 

291 

29.1 

58.2 

87. 

3 

116.4 

145.5 

174.6 

203.7 

232.8 

261.9 

290 

29.0 

58.0 

87. 

0 

lie 

.0 

1 

45.0 

174.0 

203. 

0 

23 

2.0 

261.0 

289 

28.9 

57.8 

86. 

7 

111 

.6 

1 

44.5 

173.4 

202. 

3 

23 

1.2 

260.  1 

288 

28.8 

57.6 

86.4 

115.2 

144.0 

172.8 

201.6 

230.4 

259.2 

287 

28.7 

57.4 

86. 

1 

114 

.8 

1 

43.5 

172.2 

200. 

9 

22 

•9.6 

258.3 

286 

28.6 

57.2 

85.8 

114.4 

143.0 

171.6 

200.2 

228.8 

257.4 

175 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  150  L.  176.]                                                                                             [No.  169  L.  230. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

150 

176091 
8977 

6381 

6670 
9552 

6959 
9839 

7248 

7536 

7825 

8113 

8401 

8689 

289 

0126 

0413 

0699 

0986 

1272 

1558 

287 

2 

181844 

2129 

2415 

2700 

2985 

3270 

3555 

3839 

4123 

4407 

285 

3 
4 

4691 
7521 

4975 
7803 

5259 
8084 

5542 
8366 

5825 
8647 

6108 
8928 

6391 
9209 

6674 
9490 

6956 
9771 

7239 

283 

5 

2846 

279 

190332 

0612 

0892 

1171 

1451 

1730 

2010 

2289 

2567 

6 

3125 

3403 

3681 

3959 

4237 

4514 

4792 

5069 

5346 

5623 

278 

7 

5900 
RftfV? 

6176 
8932 

6453 
9206 

6729 
9481 

7005 
9755 

7281 

7556 

7832 

8107 

8382 

276 

oOO/ 

0029 

0303 

0577 

OcS50 

1124 

274 

9 

201397 

1670 

1943 

2216 

2488 

2761 

3033 

3305 

3577 

3848 

272 

160 

4120 

4391 

4663 

4934 

5204 

5475 

5746 

6016 

6286 

6556 

271 

1 

6826 

7096 

7365 

7634 

7904 

8173 

8441 

8710 

8979 

9247 

269 

Q.-1  C 

0700 

yoio 

y/oo  - 

0051 

0319 

0586 

0853 

1121 

1388 

1654 

1921 

267 

3 

212188 

2454 

2720 

2986 

3252 

3518 

3783 

4049 

4314 

4579 

266 

4 

4844 

5109 

5373 

5638 

5902 

6166 

6430 

6694 

6957 

7221 

264 

5 

7484 

7747 

8010 

8273 

8536 

8798 

9060 

9323 

9585 

9846 

262 

6 

220108 

0370 

0631 

0892 

1153 

1414 

1675 

1936 

2196 

2456 

261 

7 

.  2716 

2976 

3236 

3496 

3755 

4015 

4274 

4533 

4792 

5051 

259 

8 

5309 

5568 

5826 

6084 

6342 

6600 

6858 

7115 

7372 

7630 

258 

9 

7887 

8144 

8400 

8657 

8913 

9170 

9426 

9682 

9938 

23 

0193 

256 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

285 

28.5 

57.0 

85.5 

114.0 

142.5 

171.0 

199.5 

228.0 

256.5 

284 

28.4 

56.8 

85.2 

113.6 

142.0 

170.4 

198.8 

227.2 

255.6 

283 

28.3 

56.6 

84.9 

113.2 

141.5 

169.8 

198.1 

22€>.  4 

254.7 

282 

28.2 

56.4 

84.6 

112.8 

141.0 

169.2 

197.4 

225.  6 

253.8 

281 

28.1 

56.2 

84.3 

112.4 

140.5 

168.  6 

196.  7 

224.8 

252.9 

280 

28.0 

56.0 

84.0 

112.0 

140.0 

168.0 

196.  0 

224.0 

252.0 

279 

27.9 

55.8 

83.7 

111.6 

139.5 

167.4 

195.  3 

223.2 

251.1 

278 

27.8 

55.6 

83.4 

111.2 

139.0 

166.8 

194.6 

222.4 

250.2 

277 

27.7 

55.4 

83.1 

110.8 

138.5 

166.  2 

193.9 

221.6 

249.3 

276 

27.6 

55.2 

82.8 

110.4 

138.0 

165.6 

193.2 

220.8 

248.4 

275 

27.5 

55.0 

82.5 

110.0 

137.5 

165.0 

192.5 

220.0 

247.5 

274 

27.4' 

54.8 

82.2 

109.  6 

137.0 

164.4 

191.8 

219.2 

246.6 

273 

27.3 

54.6 

81.9 

109.2 

136.5 

163.8 

191.1 

218.4 

245.7 

272 

27.2 

54.4 

81.6 

108.8 

136.  0 

163.2 

190.4 

217.  6 

244.8 

271 

27.1 

54.2 

81.3 

108.4 

135.5 

162.6 

189.7 

216.8 

243.9 

270 

27.0 

54.0 

81.0 

108.0 

135.0 

162.0 

189.0 

216.0 

243.0 

269 

26.9 

53.8 

80.7 

107.  6 

134.5 

161.4 

188.3 

215.2 

242.1 

268 

26.8 

53.6 

80.4 

107.2 

134.0 

160.8 

187.6 

214.4 

241.2 

267 

26.7 

53.4 

80.1 

106.8 

133.  5 

160.2 

180.  9 

213.6 

240.3 

266 

26.6 

53.2 

79.8 

106.4 

133.0 

159.6 

186.2 

212.8 

239.4 

265 

26.5 

53.0 

79.5 

106.0 

132.5 

159.  0 

185.  5 

212.0 

238.5 

264 

26.4 

52.8 

79.2 

105.6 

132.0 

158.4 

184.8 

211.2 

237.6 

263 

26.3 

52.6 

78.9 

105.2 

131.5 

157.8 

184.1 

210.4 

236.7 

262 

26.2 

52.4 

78.6 

104.8 

131.0 

157.2 

183.4 

209.6 

235.8 

261 

26.1 

52.2 

78.3 

104.4 

130.5 

156.  6 

182.7 

208.8 

234.9 

260 

26.0 

52.0 

78.0 

104.0 

130.0 

156.0 

182.  0 

208.0 

234.0 

259 

25.9 

51.8 

77.7 

103.6 

129.5 

155.4 

181.3 

207.2 

233.1 

258 

25.8 

51.6 

77.4 

103.2 

129.  0 

154.8 

180.6 

206.4 

232.2 

257 

25.7 

51.4 

77.1 

102.8 

128.5 

154.2 

179.9 

205.6 

231.3 

256 

25.6 

51.2 

76.8 

102.4 

128.0 

153.6 

179.2 

204.8 

230.4 

255 

25.5 

51.0 

76.5 

102.0 

127.5 

153.0 

178.5 

204.0 

229.5 

176 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  170  L.  230.]                                     [No.  189  L.  278. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

170 

230449 

0704 

0960 

1215 

1470 

1724 

1979 

2234 

2488 

2742 

255 

1 

2996 

3250 

3504 

3757 

4011 

4264 

4517 

4770 

5023 

5276 

253 

2 

5528 

5781 

6033 

6285 

6537 

6789 

7041 

7292 

7544 

7795 

252 

3 

8046 

8297 

8548 

8799 

9049 

9299 

9550 

9800 

— 



0050 

0300 

250 

4 

240549 

0799 

1048 

1297 

1546 

1795 

2044 

2293 

2541 

2790 

249 

5 

3038 

3286 

3534 

3782 

4030 

4277 

4525 

4772 

5019 

5266 

248 

6 

5513 

5759 

6006 

6252 

6499 

6745 

6991 

7237 

7482 

7728 

246 

7 

7973 

8219 

8464 

8709 

8954 

9198 

9443 

9687 

9932 



0176 

245 

8 

250420 

0664 

0908 

1151 

1395 

1638 

1881 

2125 

2368 

2610 

243 

9 

2853 

3096 

3338 

3580 

3822 

4064 

4306 

4548 

4790 

5031 

242 

180 

5273 

5514 

5755 

5996 

6237 

6477 

6718 

6958 

7198 

7439 

241 

1 

7679 

7918 

8158 

8398 

8637 

8877 

9116 

9355 

9594 

9833 

239 

2 

260071 

0310 

0548 

0787 

1025 

1263 

1501 

1739 

1976 

2214 

238 

3 

2451 

2688 

2925 

3162 

3399 

3636 

3873 

4109 

4346 

4582 

237 

4 

4818 

5054 

5290 

5525 

5761 

5996 

6232 

6467 

6702 

6937 

235 

5 
g 

7172 
9513 

7406 
Q746 

7641 
9980 

7875 

8110 

8344 

8578 

8812 

9046 

9279 

234 

y  1  10 

0213 

0446 

0679 

0912 

1144 

1377 

1609 

233 

7 

271842 

2074 

2306 

2538 

2770 

3001 

3233 

3464 

3696 

3927 

232 

8 

4158 

4389 

4620 

4850 

5081 

5311 

5542 

5772 

6002 

6232 

230 

9 

6462 

6692 

6921 

7151 

7380 

7609 

7838 

8067 

8296 

8525 

229 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

255 

25.5 

51.0 

76.5 

102.0 

127.5 

153.0 

178.5 

204.0 

229.5 

254 

25.4 

50.8 

76.2 

101.6 

127.0 

152.4 

177.8 

203.2 

228.6 

253 

25.3 

50.6 

75.9 

101.2 

126.5 

151.8 

177.1 

202.4 

227.7 

252 

25.2 

50.4 

75.6 

100.8 

126.0 

151.2 

176.4 

201.6 

226.  8 

251 

25.1 

50.2 

75.3 

100.4 

125.5 

150.6 

175.7 

200.8 

225.9 

250 

25.0 

50.0 

75.0 

100.0 

125.0 

150.0 

175.0 

200.0 

225.0 

249 

24.9 

49.8 

74.7 

99.6 

124.5 

149.4 

174.3 

199.2 

224.1 

248 

24.8 

49.6 

74.4 

99.2 

124.0 

148.8 

173.6 

198.4 

223.2 

247 

24.7 

49.4 

74.1 

98.8 

123.5 

148.2 

172.9 

197.6 

222.3 

246 

24.6 

49.2 

73.8 

98.4 

123.0 

147.6 

172.2 

196.8 

221.4 

245 

24.5 

49.0 

73.5 

98.0 

122.5 

147.0 

171.5 

196.0 

220.5 

244 

24.4 

48.8 

73.2 

97.6 

122.0 

146.4 

170.8 

195.2 

219.6 

243 

24.3 

48.6 

72.9 

97.2 

121.5 

145.8 

170.1 

194.4 

218.7 

242 

24.2 

48.4 

72.6 

96.8 

121.0 

145.2 

169.4 

193.6 

217.8 

241 

24.1 

48.2 

72.3 

96.4 

120.5 

144.6 

168.7 

192.8 

216.9 

240 

24.0 

48.0 

72.0 

96.0 

120.0 

144.0 

168.0 

192.0 

216.0 

239 

23.9 

47.8 

71.7 

95.6 

119.5 

143.4 

167.3 

191.2 

215.1 

238 

23.8 

47.6 

71.4 

95.2 

119.0 

142.8 

166.6 

190.4 

214.2 

237 

23.7 

47.4 

71.1 

94.8 

118.5 

142.2 

165.9 

189.6 

213.3 

236 

23.6 

47.2 

70.8 

94.4 

118.0 

141.6 

165.2 

188.8 

212.4 

235 

23.5 

47.0 

70.5 

94.0 

117.5 

141.0 

164.5 

188.0 

211.5 

234 

23.4 

46.8 

70.2 

93.6 

117.0 

140.4 

163.8 

187.2 

210.6 

233 

23.3 

46.6 

69.9 

93.2 

116.5 

139.8 

163.1 

186.4 

209.7 

232 

23.2 

46.4 

69.6 

92.8 

116.0 

139.2 

162.4 

185.6 

208.8 

231 

23.1 

46.2 

69.3 

92.4 

115.5 

138.  6 

161.7 

184.8 

207.9 

230 

23.0 

46.0 

69.0 

92.0 

115.0 

138.0 

161.0 

184.0 

207.0 

229 

22.9 

45.8 

68.7 

91.6 

114.5 

137.4 

160.3 

183.2 

206.1 

228 

22.8 

45.6 

68.4 

91.2 

114.0 

136.8 

159.6 

182.4 

205.2 

227 

22.7 

45.4 

68.1 

90.8 

113.5 

136.2 

158.9 

181.6 

204.3 

226 

22.6 

45.2 

67.8 

90.4 

113.0 

135.6 

158.2 

180.8 

203.4 

41479—10 12 


177 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  190  L.  278.]                                                                                              [No.  214  L.  332. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

190 

278754 

8982 

9211 

9439 

9667 

9895 

Q190 

1 

281033 

1261 

1488 

1715 

1942 

2169 

2396 

2622 

2S49 

3075 

227 

2 

3301 

3527 

3753 

3979 

4205 

4431 

46-56 

4SS2 

5107 

5332 

226 

3 

5557 

5782 

6007 

6232 

6156 

6881 

6905 

7130 

7354 

7578 

225 

4 

7802 

8026 

8249 

8473 

8696 

8920 

9143 

9366 

9589 

9812 

223 

5 

290035 

0257 

0480 

0702 

0925 

1147 

1369 

1591 

1813 

2034 

222 

6 

2256 

2478 

2699 

2920 

3141 

3363 

35S4 

3804 

4025 

4246 

221 

7 

4466 

4687 

4907 

5127 

5347 

5567 

5787 

6007 

6226 

6446 

220 

8 

6665 

6884 

7104 

7323 

7542 

7761 

7979 

8198 

8416 

8635 

219 

9 

8853 

9071 

9989 

9507 

9725 

9943 

200 

301030 

1247 

1464 

1681 

1898 

2114  1  2331 

2547 

2764 

29SO 

217 

1 

3196 

3412 

3628 

3844 

4059 

4275 

4491 

4706 

4921 

5136 

216 

2 

5351 

5566 

5781 

5996 

6211 

6425 

6639 

6854 

7068 

7282 

215 

3 

7496 

7710 

7924 

8137 

8351 

8564 

8778 

8991 

9204 

9417 

213 

4 

9630 

9843 

0056 

0268 

0481 

0693 

0906 

1118 

1330 

1542 

212 

5 

311754 

1966 

2177 

2389 

2600 

281* 

3023 

3234 

3445 

3056 

211 

6 

3867 

4078 

4289 

4499 

4710 

4920 

5130 

5340 

5551 

57(iO 

210 

7 

5970 

6180 

6390 

6599 

6809 

7018 

7227 

7436 

7646 

7854 

209 

8 

8063 

8272 

8481 

8689 

8898 

9106 

9314 

9522 

9730 

9938 

208 

9 

320146 

0354 

0562 

0769 

0977 

1184 

1391 

1598 

1805 

2012 

207 

210 

2219 

2426 

2633 

2839 

3046 

3252 

3458 

3665 

3871 

4077 

206 

1 

4282 

4488 

4694 

4899 

5105 

5310 

5516 

5721 

5926 

6131 

205 

2 

6336 

6541 

6745 

6950 

7155 

7359 

7563 

7767 

7972 

8176 

204 

3 

8380 

8583 

8787 

8991 

9194 

939S 

9601 

9805 

4 

330414 

0617 

0819 

1022 

1225 

1427 

1630 

1832 

2034 

2236 

202 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

225 

22.5 

45.0 

67.5 

90.0 

112.5 

135.0 

157.5 

1SO.O 

202.5 

224 

22.4 

44.8 

67.2 

89.6 

112.0 

134.4 

156.  8 

179.2 

201.  6 

223 

22.3 

44.6 

66.9 

89.2 

111.5 

133.8 

156.  1 

178.4 

200.7 

222 

22.2 

44.4 

66.6 

88.8 

111.0 

133.2 

155.4 

177.  6 

199.8 

221 

22.1 

44.2 

66.3 

88.4 

110.5 

132.  6 

154.7 

176.8 

198.9 

220 

22.0 

44.0 

66.0 

88.0 

110.0 

132.0 

154.0 

176.0 

198.0 

219 

21.9 

43.8 

65.7 

87.6 

109.5 

131.4 

153.3 

175.2 

197.1 

218 

21.8 

43.6 

65.4 

87.2 

109.0 

130.8 

152.6 

174.4 

196.2 

217 

21.7 

43.4 

65.1 

86.8 

108.5 

130.2 

151.9 

173:6 

195.3 

216 

21.6 

43.2 

64.8 

86.4 

108.0 

129.6 

151.2 

172.8 

194.4 

215 

21.5 

43.0 

64.5 

86.0 

107.5 

129.0 

150.5 

172.0 

193.5 

214 

21.4 

42.8 

64.2 

85.6 

107.0 

128.4 

149.8 

171.2 

192.6 

213 

21.3 

42.6 

63.9 

85.2 

106.5 

127.8 

149.1 

170.4 

191.7 

212 

21.2 

42.4 

63.6 

84.8 

106.0 

127.2 

148.4 

169.  6 

190.  8 

211 

21.1 

42.2 

63.3 

84.4 

105.5 

126.  6 

147.7 

168.  8 

189.9 

210 

21.0 

42.0 

63.0 

84.0 

105.0 

126.0 

147.0 

168.0 

189.0 

209 

20.9 

41.8 

62.7 

83.6 

104.5 

125.  4 

146.3 

167.2 

188.1 

208 

20.8 

41.6 

62.4 

83.2 

104.0 

124.8 

145.6 

166.  4 

187.2 

207 

20.7 

41.4 

62.1 

82.8 

103.5 

124.2 

144.9 

165.6 

186.3 

206 

20.6 

41.2 

61.8 

82.4 

103.0 

123.6 

144.2 

164.8 

185.4 

205 

20.5 

41.0 

61.5 

82.0 

102.  5 

123.  0 

143.5 

164.  0 

184.5 

204 

20.4 

40.8 

61.2 

81.6 

102.0 

122.4 

142.8 

163.2 

183.  6 

203 

20.3 

40.6 

60.9 

81.2 

101.5 

121.8 

142.1 

162.  4 

182.7 

202 

20.2 

40.4 

60.6 

80.8 

101.0 

121.2 

141.4 

161.6 

181.8 

178 


TABLE  10. -LOGARITHMS  OF  NUMBERS. 


No.  215  L.  332.]                                  [No.  239  L.  380. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

215 

33243S 

2640 

2842 

3044 

3246 

3447 

3649 

3850 

4051 

4253 

202 

6 

4454 

4655 

4856 

5057 

5257 

5458 

5658 

5859 

6059 

6260 

201 

7 

64GO 

6660 

6860 

7060 

7260 

7459 

7659 

7858 

8058 

8257 

200 

g 

84  56 

8656 

8855 

9054 

9253 

9451 

9650 

9849 

0047 

0246 

199 

9 

340444 

0642 

0841 

1039 

1237 

1435 

1632 

1830 

2028 

2225 

198 

220 

2423 

2620 

2817 

3014 

3212 

3409 

3606 

3802 

3999 

4196 

197 

1 

4392 

4589 

4785 

4981 

5178 

5374 

5570 

5766 

5962 

6157 

196 

2 

6353 

6549 

6744 

6939 

7135 

7330 

7525 

7720 

7915 

8110 

195 

3 

8305 

8500 

8694 

8889 

9083 

9278 

9472 

9666 

9860 

0054 

1Q4 

4 

350248 

0442 

0636 

0829 

1023 

1216 

1410 

1603 

1790 

1989 

iy-± 
193 

5 

2183 

2375 

2568 

2761 

2954 

3147 

3339 

3532 

3724 

3916 

193 

6 

4108 

4301 

4493 

4685 

4876 

5068 

5260 

5452 

5643 

5834 

192 

7 

6026 

6217 

6408 

6599 

6790 

6981 

7172 

7363 

7554 

7744 

191 

8 
9 

7935 
9835 

8125 

8316 

8506 

8696 

8886 

9076 

9266 

9456 

9646 

190 

flfl^T 

(191  r 

0404 

ncnq 

r\7fiQ 

OQ79 

1  1  A1 

i  Qift 

1  1QQ 

1  CO 

230 

361728 

UU~0 

1917 

U.S1D 

2105 

VHIH 

2294 

uoyo 
2482 

U/oo 

2671 

uy  /z 
2859 

1101 

3048 

loou 
3236 

looy 
3424 

ioy 
188 

1 

3612 

3800 

3988 

4176 

4363 

4551 

4739 

4926 

5113 

5301 

188 

2 

5488 

5675 

5862 

6049 

6236 

6423 

6610 

6796 

6983 

7169 

187 

3 

7356 

7542 

7729 

7915 

8101 

8287 

8473 

8659 

8845 

9030 

186 

4 

9216 

9401 

9587 

9772 

qorjc 

yjoo 

0143 

0328 

0513 

0698 

0883 

185 

5 

371068 

1253 

1437 

1622 

1806 

1991 

2175 

2360 

2544 

2728 

184 

6 

2912 

3096 

3280 

3464 

3647 

3831 

4015 

4198 

4382 

4565 

184 

7 

4748 

4932 

5115 

5298 

5481 

5664 

5846 

6029 

6212 

6394 

183 

8 

6577 

6759 

6942 

7124 

7306 

7488 

7670 

7852 

8034 

8216 

182 

9 

8398 

8580 

8761 

8943 

9124 

9306 

9487 

9668 

9849 

38 

0030 

181 

PROPORTIONAL  PARTS. 

Dill. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

202 

20.2 

40.4 

60.6 

80.8 

101.0 

121.2 

141.4 

161.6 

181.8 

201 

20.1 

40.2 

60.3 

80.4 

100.5 

120.6 

140.7 

160.8 

180.9 

200 

20.0 

40.0 

60.0 

80.0 

100.0 

120.0 

140.0 

160.0 

180.0 

199 

19.9 

39.8 

59.7 

79.6 

99.5 

119.4 

139.3 

159.2 

179.1 

198 

19.8 

39.6 

59.4 

79.2 

99.0 

118.8 

138.6 

158.4 

178.2 

197 

19.7 

39.4 

59.1 

78.8 

98.5 

118.2 

137.9 

157.6 

177.3 

196 

19.6 

39.2 

58.8 

78.4 

98.0 

117.6 

137.2 

156.8 

176.4 

195 

19.5 

39.0 

58.5 

78.0 

97.5 

117.0 

136.5 

156.0 

175.5 

194 

19.4 

38.8 

58.2 

77.6 

97.0 

116.4 

135.8 

155.2 

174.6 

193 

19.3 

38.6 

57.9 

77.2 

96.5 

115.8 

135.1 

154.4 

173.7 

192 

19.2 

38.4 

57.6 

76.8 

96.0 

115.2 

134.4 

153.6 

172.8 

191 

19.1 

38.2 

57.3 

76.4 

95.5 

114.6 

133.7 

152.8 

171.9 

190 

19.0 

38.0 

57.0 

76.0 

95.0 

114.0 

133.0 

152.0 

171.0 

189 

18.9 

37.8 

56.7 

75.6 

94.5 

113.4 

132.3 

151.2 

170.1 

188 

18.8 

37.6 

56.4 

75.2 

94.0 

112.8 

131.6 

150.4 

169.2 

187 

18.7 

37.4 

56.1 

74.8 

93.5 

112.2 

130.9 

149.6 

168.3 

186 

18.6 

37.2 

55.8 

74.4 

93.0 

ill.  6 

130.2 

148.8 

167.4 

185 

18.5 

37.0 

55.5 

74.0 

92.5 

111.0 

129.5 

148.0 

166.5 

184 

18.4 

36.8 

55.2 

73.6 

92.0 

110.4 

128.8 

147.2 

165.6 

183 

18.3 

36.6 

54.9 

73.2 

91.5 

109.8 

128.1 

146.4 

164.7 

182 

18.2 

36.4 

54.6 

72.8 

91.0 

109.2 

127.4 

145.6 

163.8 

181 

18.1 

36.2 

54.3 

72.4 

90.5 

108.6 

126.7 

144.8 

162.9 

180 

18.0 

36.0 

54.0 

72.0 

90.0 

108.0 

126.  0 

144.0 

162.  0 

179 

17.9 

35.8 

53.7 

71.  <) 

89.5 

107.4 

125.3 

143.2 

161.1 

179 


TABLE  10.—  LOGARITHMS  OF  NUMBERS. 


No.  240  L.  380.] 

[No.  269  L.  431. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

1837 
3636 

5428 
7212 
8989 

Diff. 

181 
180 
179 
178 
178 

177 
176 
176 
175 
174 

173 

173 
172 
171 
171 
170 
169 

169 
168 
167 

167 
166 
165 

165 
164 
164 
163 
162 
162 

161 

240 
1 
2 
3 
4 
5 

6 

7 
8 
9 

250 
1 

2 
3 
4 

5 
6 

7 

8 
9 

260 
1 
2 
3 

4 
5 
6 

7 
8 
9 

380211 
2017 
3815 
5606 
7390 
9166 

0392 
2197 
3995 
5785 
7568 
9343 

0573 
2377 
4174 
5964 
7746 
9520 

0754 
2557 
4353 
6142 
7924 
9698 

0934 
2737 
4533 
6321 
8101 
9875 

1115 

2917 
4712 
6499 
8279 

1296 
3097 
4891 
6677 
8456 

1476 
3277 
5070 
6856 
8634 

1656 
3456 
5249 
7034 
8811 

0582 
2345 
4101 
5850 
7592 

9328 

0051 
1817 
3575 
5326 
7071 

8808 

0228 
1993 
3751 
5.501 
7245 

8981 

0405 
21(19 
3926 
5676 
7419 
9154 

0759 
2521 
4277 
6025 
7766 

9501 

390935 
2697 
4452 
6199 

7940 
9674 

1112 
2873 
4627 
6374 

8114 
9847 

1288 
3048 
4802 
6548 

8287 

1464 
3224 
4977 
6722 

8461 

1641 
3400 
5152 
6896 

8634 

0020 
1745 
3464 
5176 
6881 
8579 

0192 
1917 
3635 
5346 
7051 
8749 

0365 
2089 
3807 
5517 
7221 
8918 

0538 
2281 

3978 
5688 
7391 
9087 

0711 
2433 
4149 
5858 
7561 
9257 

08S3 
2605 
4320 
6029 
7731 
9426 

1056 
2777 
4492 
6199 
7901 
9595 

1228 
2949 
4663 
6370 
8070 
9764 

401401 
3121 
4834 
6540 
8240 
9933 

1573 
3292 
5005 
6710 
8410 

0102 
1788 
3467 

5140 

6807 
8467 

0271 
1956 
3635 

5307 
6973 
8633 

0440 
2124 
3803 

5474 
7139 
8798 

0609 
2293 
3970 

5641 
7306 
8964 

0777 
2461 
4137 

5808 
7472 
9129 

0946 
2629 
4305 

5974 
7638 
9295 

1114 

2796 
4472 

6141 
7804 
9460 

1283 
2964 
4639 

6308 
7970 
9625 

1451 
3132 
4806 

6474 
8135 
9791 

411620 
3300 

4973 
6641 
8301 
9956 

0121 
1768 
3410 
5045 
6074 
8297 
9914 

0286 
1933 
3574 
5208 
6836 
8459 

0451 
2097 
3737 
5371 
6999 
8621 

0616 
2261 
3901 
5534 
7161 
8783 

0781 
2426 
4065 
5697 
7324 
8944 

0945 
2590 
4228 
5860 
7486 
9106 

1110 
2754 
4392 
6023 
76-18 
9268 

1275 
2918 
4555 
6186 
7811 
9429 

1439 
3082 
4718 
6349 
7973 
9591 

421604 
3246 
4882 
6511 
8135 
9752 
43 

0075 

0236 

0398 

0559 

0720 

0881 

1042 

1203 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

178 
177 
176 
175 
174 
173 
172 
171 
170 

169 
168 
167 
166 
165 
164 
163 
162 
161 

17.8 
17.7 
17.6 
17.5 
17.4 
17.3 
17.2 
17.1 
17.0 

16.9 
16.8 
16.7 
16.6 
16.5 
16.4 
16.3 
16.2 
16.1 

35.6 
35.4 
35.2 
35.0 
34.8 
34.6 
34.4 
34.2 
34.0 

33.8 
33.6 
33.4 
33.2 
33.0 
32.8 
32.6 
32.4 
32.2 

53.4 
53.1 
52.8 
52.5 
52.2 
51.9 
51.6 
51.3 
51.0 

50.7 
50.4 
50.1 
49.8 
49.5 
49.2 
48.9 
48.5 
48.3 

71.2 
70.8 
70.4 
70.0 
69.6 
69.2 
68.8 
68.4 
68.0 

67.6 
67.2 
66.8 
66.4 
66.0 
65.6 
65.2 
64.8 
64.4 

89.0 
88.5 
88.0 
87.5 
87.0 
86.5 
86.0 
85.5 
85.0 

84.5 
84.0 
83.5 
83.0 
82.5 
82.0 
81.5 
81.0 
80.5 

106.8 
106.2 
105.6 
105.0 
104.4 
103.8 
103.2 
102.6 
102.0 

101.4 
100.8 
100.2 
99.6 
99.0 
98.4 
97.8 
97.2 
96.6 

124.6 
123.9 
123.2 
122.5 
121.8 
121.1 
120.4 
119.7 
119.0 

118.3 
117.6 
116.9 
116.2 
115.5 
114.8 
114.1 
113.4 
112.7 

142.4 
141.6 
140.8 
140.0 
139.2 
138.4 
137.6 
136.8 
136.0 

135.2 
134.4 
133.6 
132.8 
132.0 
131.2 
130.4 
129.6 
128.8 

160.2 
159.3 
158.4 
157.5 
156.6 
155.7 
154.8 
153.9 
153.0 

152.1 
151.2 
150.3 
149.4 
148.5 
147.6 
146.7 
145.8 
144.9 

180 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  270  L.  431.]                                     [No.  299  L.  476. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

270 

431364 

1525 

1685 

1846 

2007 

2167 

2328 

2488 

2649 

2809 

161 

1 

2969 

3130 

3290 

3450 

3610 

3770 

3930 

4090 

4249 

4409 

160 

2 

4569 

4729 

4888 

5048 

5207 

5367 

5526 

5685 

5844 

6004 

159 

3 

6163 

6322 

6481 

6640 

6799 

6957 

7116 

7275 

7433 

7592 

159  . 

4 
5 

7751 
qooo 

7909 
9491 

8067 
9648 

8226 
9806 

8384 
9964 

8542 

8701 

8859 

9017 

9175 

158 

yooo 

0122 

0279 

0437 

0594 

0752 

158 

6 

440909 

1066 

1224 

1381 

1538 

1695 

1852 

2009 

2166 

2323 

157 

7 

2480 

2637 

2793 

2950 

3106 

3263 

3419 

3576 

3732 

3889 

157 

8 

4045 

4201 

4357 

4513 

4669 

4825 

4981 

5137 

5293 

5449 

156 

9 

5604 

5760 

5915 

6071 

6226 

6382 

6537 

6692 

6848 

7003 

155 

280 

1 

7158 
870(1 

7313 

88fi1 

7468 
9015 

7623 
0170 

7778 
9324 

7933 
9478 

8088 
9633 

8242 
9787 

8397 
9941 

8552 

155 

ot  uO 

ooul 

UirfU 

0095 

154 

2 

450249 

0403 

0557 

0711  0865 

1018 

1172 

1326 

1479 

1633 

154 

3 

1786 

1940 

2093 

2247 

2400 

2553 

2706 

2859 

3012 

3165 

153 

4 

3318 

3471 

3624 

3777 

3930 

4082 

4235 

4387 

4540 

4692 

153 

5  !   4845 

4907 

5150 

5302 

5454 

5606 

5758 

5910 

6062 

6214 

152 

6  :   6306 

6518 

6670 

6821 

6973 

7125 

7276 

7428 

7579 

7731 

152 

7  '   7882 

8033 

8184 

8336 

8487 

8638 

8789 

8940 

9091 

9242; 

151 

g     OQQ9 

9543 

9694 

9845 

9995 

0146 

0296 

0447 

0597 

0748  • 

151 

9 

460898 

1048 

1198 

1348 

1499 

1649 

1799 

1948 

2098 

2248 

150 

290 

2398 

2548 

2697 

2847 

2997 

3146 

3296 

3445 

3594 

3744 

150 

1 

3893 

4042 

4191 

4340 

4490 

4639 

4788 

4936 

5085 

5234 

149 

2 

5383 

5532 

5680 

5829 

5977 

6126 

6274 

6423 

6571 

6719 

149 

3 

6868 

?ni6 

7164 

7312 

7460 

7608 

7756 

7904 

8052 

8200 

148 

4 
g. 

8347 
9822 

8495 
9969 

8643 

8790 

8938 

9085 

9233 

9380 

9527 

9675 

148 

0116 

0263 

0410 

0557 

0704 

0851 

0998 

1145 

147 

6 

471292 

1438 

1585 

1732 

1878 

2025 

2171 

2318 

2464 

2610 

146 

7 

2756 

2903 

3049 

3195 

3341 

3487 

3633 

3779 

3925 

4071 

146 

8 

4216 

4362 

4508 

4653 

4799 

4944 

5090 

5235 

5381 

5526 

146 

9 

5671 

5816 

5962 

6107 

6252 

6397 

6542 

6687 

6832 

6976 

145 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

161 

16.1 

32.2 

48.3 

64.4 

80.5 

96.6 

112.7 

128.8 

144.9 

160 

16.0 

32.0 

48.0 

64.0 

80.0 

96.0 

112.0 

128.0 

144.0 

159 

15.9 

31.8 

47.7 

63.6 

79.5 

95.4 

111.3 

127.2 

143.1 

158 

15.8 

31.6 

47.4 

63.2 

79.0 

94.8 

110.6 

126.4 

142.2 

157 

15.7 

31.4 

47.1 

62.8 

78.5 

94.2 

109.9 

125.6 

141.3 

156 

15.6 

31.2 

46.8 

62.4 

78.0 

93.6 

109.2 

124.8 

140.4 

155 

15.5 

31.0 

46.5 

62.0 

77.5 

93.0 

108.5 

124.0 

139.5 

154 

15.4 

30.8 

46.2 

61.6 

77.0 

92.4 

107.8 

123.2 

138.6 

153 

15.3 

30.6 

45.9 

61.2 

76.5 

91.8 

107.1 

122.4 

137.7 

152 

15.2 

30.4 

45.6 

60.8 

76.0 

91.2 

106.4 

121.  6 

136.8 

151 

15.1 

30.2 

45.3 

60.4 

75.5 

90.6 

105.7 

120.8 

135.9 

150 

15.0 

30.0 

45.0 

60.0 

75.0 

90.0 

105.0 

120.0 

135.0 

149 

14.9 

29.8 

44.7 

59.6 

74.5 

89.4 

104.3 

119.2 

134.1 

148 

14.8 

29.6 

44.4 

59.2 

74.0 

88.8 

103.6 

118.4 

133.2 

147 

14.7 

29.4 

44.1 

58.8 

73.5 

88.2 

102.9 

117.6 

132.3 

146 

14.6 

29.2 

43.8 

58.4 

73.0 

87.6 

102.2 

116.8 

131.4 

145 

14.5 

29.0 

43.5 

58.0 

72.5 

87.0 

101.5 

116.  0 

130.5 

144 

14.4 

28.8 

43.2 

57.6 

72.0 

86.4 

100.8 

115.2 

129.6 

143 

14  3 

28.6 

42.9 

57.2 

71.5 

85.8 

100.1 

114.4 

128.7 

142 

14.2 

28.4 

42.6 

56.8 

71.0 

85.2 

99.4 

113.6 

127.8 

141 

14.1 

28.2 

42.3 

56.4 

70.5 

84.6 

98.7 

112.8 

126.9 

140 

14.0 

28.0 

42.0 

56.0 

70.0 

84.0 

98.0 

112.0 

126.0 

181 


TABLE  10.— LOGARITHMS  OP  NUMBERS. 


No.  300  L.  477.] 

[No.  339  L.  531. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

300 
1 

2 
3 

4 
5 
6 

7 
8 
9 

310 
1 
2 
3 
4 
5 
6 

7 
8 
9 

320 
1 
2 
3 

4 
5 
6 

7 
8 
9 

330 
1 

2 
3 
4 
5 

6 

7 
8 

9 

477121 
8566 

7266 
8711 

7411 
8855 

7555 

8999 

7700 
9143 

7844 
9287 

7989 
9431 

8133 
9575 

8278 
9719 

8422 
9863 

145 

144 

144 
143 
143 
142 
142 
141 
141 

140 

140 
139 
139 
139 
138 
138 

137 
137 
136 
136 

136 
135 
135 

134 
134 
133 
133 
133 
132 
132 

131 

131 
131 
130 
130 
129 
129 
129 

128 

128 

480007 
1443 
2874 
4300 
5721 
7138 
8551 
9958 

0151 
1586 
3016 
4442 
5863 
7280 
8692 

0099 

1502 
2900 
4294 
5683 
7068 
8448 
9824 

0294 
1729 
3159 
4585 
6005 
7421 
8833 

0438 
1872 
3302 

4727 
6147 
7503 
8974 

0582 
2016 
3445 
4869 
6289 
7704 
9114 

0725 
2159 
3587 
5011 
6430 
7845 
9255 

0869 
2302 
3730 
5153 
6572 
7986 
9396 

1012 
2445 
3872 
5295 
6714 
8127 
9537 

1156 

2588 
4015 
5437 
6855 
8269 
9677 

1299 
2731 
4157 
5579 
6997 
8410 
9818 

0239 

1642 
3040 
4433 
5822 
7206 
8586 
9962 

0380 

1782 
3179 
4572 
5960 
7344 
8724 

0520 

1922 
3319 
4711 
6099 
7483 
8862 

0661 

2062 
3458 
4850 
6238 
7621 
8999 

0801 

2201 
3597 
4989 
6376 
7759 
9137 

0941 
2341 
3737 
5128 
6515 
7897 
9275 

1081 

2481 
3876 
5267 
6653 
8035 
9412 

1222 

2621 
4015 
5406 
6791 
8173 
9550 

491362 
2760 
4155 
5544 
6930 
8311 
9687 

0099 
1470 
2837 
4199 

5557 
6911 
8260 
9606 

0236 
1607 
2973 
4335 

5693 
7046 
8395 
9740 

0374 
1744 
3109 
4471 

5828 
7181 
8530 
9874 

0511 
1880 
3246 

4607 

5964 
7316 
8664 

0648 
2017 
3382 
4743 

6099 
7451 
8799 

0785 
2154 
3518 
4878 

6234 

7586 
8934 

0922 
2291 
3655 
5014 

6370 
7721 
9068 

501059 
2427 
3791 

5150 
6505 
7856 
9203 

1196 
2564 
3927 

5286 
6640 
7991 
9337 

1333 
2700 
4063 

5421 
6776 
8126 
9471 

0009 
1349 

2684 
4016 
5344 
6668 
7987 

9303 

0143 
1482 
2818 
4149 
5476 
6800 
8119 

9434 

0277 
1616 
2951 
4282 
5609 
6932 
8251 
9566 

0411 
1750 
3084 
4415 
5741 
7064 
6382 

9697 

510545 
1883 
3218 
4548 
5874 
7196 

8514 
9828 

0679 
2017 
3351 
4681 
6006 
7328 

8646 
9959 

0813 
2151 
3484 
4813 
6139 
7460 

8777 

0947 
2284 
3617 
4946 
6271 
7592 

8909 

1081 
2418 
3750 
5079 
6403 
7724 

9040 

1215 
2551 
3883 
5211 
6535 
7855 

9171 

0090 
1400 
2705 
4006 
5304 
6598 
7888 
9174 

0221 
1530 
2835 
4136 
5434 
6727 
8016 
9302 

0353 
1661 
2966 
4266 
5563 
6856 
8145 
9430 

0484 
1792 
3096 
4396 
5693 
6985 
8274 
9559 

0615 
1922 
3226 
4526 
5822 
7114 
8402 
9687 

0745 
2053 
3356 
4656 
5951 
7243 
8531 
9815 

0876 
2183 
3486 
4785 
6081 
7372 
8060 
9943 

1007 
2314 
3616 
4915 
6210 
7501 
8788 

521138 
2444 
3746 
5045 
6339 
7630 
8917 

1269 
2575 
3876 
5174 
6469 
7759 
9045 

0072 
1351 

530200 

0328 

0456 

0584 

0712 

0840 

0968 

1096 

1223 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

139 
138 
137 
136 
135 
134 
133 
132 
131 
130 
129 
128 
127 

13.9 
13.8 
13.7 
13.6 
13.5 
13.4 
13.3 
13.2 
13.1 
13.0 
12.9 
12.8 
12.7 

27.8 
27.6 
27.4 
27.2 
27.0 
26.8 
26.6 
26.4 
26.2 
26.0 
25.8 
25.6 
25.4 

41.7 
41.4 
41.1 
40.8 
40.5 
40.2 
39.9 
39.6 
39.3 
39.0 
38.7 
38.4 
38.1 

55.6 
55.2 
54.8 
54.4 
54.0 
53.6 
53.2 
52.8 
52.4 
52.0 
51.6 
51.2 
50.8 

69.5 
69.0 
68.5 
68.0 
67.5 
67.0 
66.  5 
66.0 
65.5 
65.  0 
64.5 
64.0 
63.5 

83.4 
82.8 
82.2 
81.6 
81.0 
80.4 
79.8 
79.2 
78.6 
78.0 
77.4 
76.8 
76.2 

97.3 
96.6 
95.9 
95.2 
94.5 
93.8 
93.1 
92.4 
91.7 
91.0 
90.3 
89.6 
88.9 

111.2 
110.4 
109.6 
108.8 
108.0 
107.2 
106.4 
105.  6 
104.8 
104.0 
103.2 
102.4 
101.6 

125.1 
124.2 
123.3 
122.4 
121.5 
120.6 
119.7 
118.8 
117.9 
117.0 
116.1 
115.2 
114.3 

182 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  340  L.  531.] 

[No.  379  L.  579. 

N. 

340 
1 
2 

3 
4 
5 
6 

7 
8 
9 

350 
1 
2 
3 
4 

5 
fi 
7 
8 
9 

300 
1 
2 
3 

4 
5 
6 
7 
8 
9 

370 
1 

2 
3 
4 
5 
6 
7 
8 
9 

0 

1 

2 

3 

4 

5 

6 

7  . 

8 

9 

Diff. 

531479 
2754 
4026 
5294 
6558 
7819 
9076 

1607 
2882 
4153 
5421 
6685 
7945 
9202 

1734 
3009 
4280 
5547 
6811 
8071 
9327 

1862 
3136 
4407 
5674 
6937 
8197 
9452 

1990 
3264 
4534 
5800 
7063 
8322 
9578 

2117 
3391 
4661 
5927 
7189 
8448 
9703 

2245 
3518 
4787 
6053 
7315 
8574 
9829 

2372 
3645 
4914 
6180 
7441 
8699 
9954 

2500 
3772 
5041 
6306 
7567 
8825 

2627 
3899 
5167 
6432 
7693 
8951 

128 
127 
127 
126 
126 
126 

125 
125 
125 
124 

124 
124 
123 
123 

123 
122 
122 
121 
121 
121 

120 
120 
120 

119 
119 
119 
119 
118 
118 
118 

117 

117 
117 
116 
116 
116 
115 
115 
115 
114 

0079 
1330 
2576 
3820 

5060 
6296 
7529 
8758 
9984 

0204 
1454 
2701 
3944 

5183 
6419 

7652 
8881 

540329 
1579 
2825 

4068 
5307 
6543 
7775 
9003 

0455 
1704 
2950 
4192 
5431 
6666 
J898 
9126 

0580 
1829 
3074 

4316 
5555 
6789 
8021 
9249 

0705 
1953 
3199 

4440 
5678 
6913 
8144 
9371 

0830 
2078 
3323 

4564 
5802 
7036 
8267 
9494 

0955 
2203 
3447 

4688 
5925 
7159 
8389 
9616 

1080 
2327 
3571 
4812 
6049 
7282 
8512 
9739 

1205 
2452 
3696 

4936 
6172 
7405 
8635 
9861 

0106 
1328 
2547 
3762 
4973 
6182 

7387 
8589 
9787 

550228 
14.50 
2668 
3883 
5094 

6303 
7507 
8709 
9907 

561101 
2293 
3481 
4666 
5848 
7026 

8202 
9374 

0351 
1572 
2790 
4004 
5215 

6423 

7627 
8829 

0473 
1694 
2911 
4126 
5336 

6544 

7748 
8948 

0595 
1816 
3033 
4247 
5457 

6664 
7868 
9068 

0717 
1938 
3155 
4368 
5578 

6785 
7988 
9188 

0840 
2060 
3276 
4489 
5699 

6905 
8108 
9308 

0962 
2181 
3398 
4610 
5820 

7026 
8228 
9428 

1084 
2303 
3519 
4731 
5940 

7146 
8349 
9548 

1206 
2425 
3640 
4852 
6061 

7267 
84JS0 
9667 

0026 
1221 
2412 
3600 

4784 
5966 
7144 

8319 
9491 

0146 
1340 
2531 
3718 
4903 
6084 
7262 

8436 
9608 

0265 
1459 
2650 
3837 
5021 
6202 
7379 

8554 
9725 

0385 
1578 
2769 
3955 
5139 
6320 
7497 

8671 
9842 

0504 
1698 
2887 
4074 
5257 
6437 
7614 

8788 
9959 

0624 
1817 
3006 
4192 
5376 
6555 
7732 

8905 

0743 
1936 
3125 
4311 
5494 
6673 
7849 

9023 

0863 
2055 
3244 
4429 
5612 
6791 
7967 

9140 

0982 
2174 
3362 
4548 
5730 
6909 
8084 

9257 

0076 
1243 
2407 
3568 
4726 
5880 
7032 
8181 
9326 

0193 
1359 
2523 
3684 
4841 
5996 
7147 
8295 
9441 

0309 
1476 
2639 
3800 
4957 
6111 
7262 
8410 
9555 

0426 
1592 
2755 
3915 
5072 
6226 
7377 
8525 
9669 

570543 
1709 
2872 
4031 
5188 
6341 
7492 
8639 

0660 
1825 
2988 
4147 
5303 
6457 
7607 
8754 

0776 
1942 
3104 
4263 
5419 
6572 
7722 
8868 

0893 
2058 
3220 
4379 
5534 
6687 
7836 
8983 

1010 
2174 
3336 
4494 
5650 
6802 
7951 
9097 

1126 
2291 
3452 
4610 
5765 
6917 
8066 
9212 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3      4 

5 

6 

7 

8 

9 

128 
127 
126 
125 
124 
123 
122 
121 
120 
119 

12.8 
12.7 
12.6 
12.5 
12.4 
12.3 
12.2 
12.1 
12.0 
11.9 

25.6 
25.4 
25.2 
25.0 
24.8 
24.6 
24.4 
24.2 
24.0 
23.8 

38.4    51.2 
38.  1    50.  8 
37.8    50.4 
37.  5    50.  0 
37.  2    49.  6 
36.  9    49.  2 
36.  6    48.  8 
36.  3    48.  4 
36.  0    48.  0 
35.  7    47.  6 

64.0 
63.5 
63.0 
62.5 
62.0 
61.5 
61.0 
60.5 
60.0 
59.5 

76.8 
76.2 
75.6 
75.0 
74.4 
73.8 
73.2 
72.6 
72.0 
71.4 

89.6 
88.9 
88.2 
87.5 
86.8 
86.1 
85.4 
84.7 
84.0 
83.3 

102.4 
101.  6 
100.8 
100.0 
99.2 
98.4 
97.6 
96.8 
96.0 
95.2 

115.2 
114.3 
113.4 
112.5 
111.6 
110.7 
109.8 
108.9 
108.0 
107.  1 

183 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  380.  L.  579.] 

[No.  414  L.  617. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

380 

1 
2 
3 
4 
5 
6 
7 
8 
9 

390 
1 
2 
3 
4 
5 
6 
7 
8 

9 

400 
1 
2 
3 
4 
5 
6 
7 

8 
9 

410 
1 
2 
3 
4 

579784 

9898 

0012 

1153 

2291 
3426 
4557 
5686 
6812 
7935 
9056 

0126 

1267 
2404 
3539 
4670 
5799 
6925 
8047 
9167 

0241 

1381 
2518 
3652 
4783 
5912 
7037 
8160 
9279 

0355 

1495 
2631 
3765 
4896 
6024 
7149 
8272 
9391 

0469 

1608 
2745 
3879 
5009 
6137 
7262 
8384 
9503 

0583 

1722 

2858 
3992 
5122 
6250 
7374 
8496 
9615 

0697 

1836 
2972 
4105 
5235 
6362 
7486 
8608 
9726 

0811 

1950 
3085 
4218 
5348 
6475 
7599 
8720 
9838 

114 

113 
112 

111 

110 
109 

108 
107 

106 
105 

580925 
2063 
.3199 
4331 
5461 
6587 
7711 
8832 
9950 

1039 
2177 
3312 
4444 
5574 
6700 
7823 
8944 

0061 

1176 
2288 
3397 
4503 
5606 
6707 
7805 
8900 
9992 

0173 

1287 
2399 
3508 
4614 
5717 
6817 
7914 
9009 

0284 

1399 
2510 
3618 
4724 
5827 
6927 
8024 
9119 

0396 

1510 
2621 
3729 
4834 
5937 
7037 
8134 
9228 

0507 

1621 
2732 
3840 
4945 
6047 
7146 
8243 
9337 

0619 

1732 
2843 
3950 
5055 
6157 
7256 
8353 
9446 

0730 

1843 
2954 
4061 
5165 
6267 
7366 
8462 
9556 

0842 

1955 
3064 
4171 
5276 
6377 
7476 
8572 
9665 

0953 

2066 
3175 
4282 
5386 
6487 
7586 
8681 
9774 

591065 
2177 
3286 
4393 
5496 
6597 
7695 
8791 
9883 

0101 
1191 

2277 
3361 
4442 
5521 
6596 
7669 
8740 
9808 

0210 
1299 

2386 
3469 
4550 
5628 
6704 
7777 
8847 
9914 

0319 
1408 

2494 
3577 

4658 
5736 
6811 
7884 
8954 

0428 
1517 

2603 
3686 
4766 
5844 
6919 
7991 
9061 

0537 
1625 

2711 
3794 
4874 
5951 
7026 
8098 
9167 

0646 
1734 

2819 
3902 
4982 
6059 
7133 
8205 
9274 

0755 
1843 

2928 
4010 
5089 
6166 
7241 
8312 
9381 

0864 
1951 
3036 
4118 
5197 
6274 
7348 
8419 
9488 

600973 

2060 
3144 
4226 
5305 
6381 
7455 
8526 
9594 

1082 

2169 
3253 
4334 
5413 
6489 
7562 
8633 
9701 

0021 
1086 
2148 

3207 
4264 
5319 
6370 
7420 

0128 
1192 
2254 

3313 
4370 
5424 
6476 
7525 

0234 
1298 
2360 

3419 
4475 
5529 
6581 
7629 

0341 
1405 
2466 

3525 
4581 
5634 
6686 
7734 

0447 
1511 
2572 

3630 
4686 
5740 
6790 
7839 

0554 
1617 
2678 
3736 
4792 
5845 
6895 
7943 

610660 
1723 

2784 
3842 
4897 
5950 
7000 

0767 
1829 

2890 
3947 
5003 
6055 
7105 

0873 
1936 

2996 
4053 
5108 
6160 
7210 

0979 
2042 

3102 
4159 
5213 
6265 
7315 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3 

4 

5 

6 

7 

8 

9 

118 
117 
116 
115 
114 
113 
112 

111 
110 
109 
108 
107 
106 
105 
105 
104 

11.8 
11.7 
11.6 
11.5 
11.4 
11.3 
11.2 

11.1 
11.0 
10.9 
10.8 
10.7 
10.6 
10.5 
10.5 
10.4 

23.6 
23.4 
23.2 
23.0 
22.8 
22.6 
22.4 

22.2 
22.0 
21.8 
21.6 
21.4 
21.2 
21.0 
21.0 
20.8 

35.4 
35.1 
34.8 
34.5 
34.2 
33.9 
33.6 

33.3 
33.0 
32.7 
32.4 
32.1 
31.8 
31.5 
31.5 
31.2 

47.2 
46.8 
46.4 
46.0 
45.6 
45.2 
44.8 
44.4 
44.0 
43.6 
43.2 
42.8 
42.4 
42.0 
42.0 
41.6 

59.0 
58.5 
58.0 
57.5 
57.0 
56.5 
56.0 
55.5 
55.0 
54.5 
54.0 
53.5 
53.0 
52.5 
52.5 
52.0 

70.8 
70.2 
69.6 
69.0 
68.4 
67.8 
67.2 

66.6 
66.0 
65.4 
64.8 
64.2 
63.6 
63.0 
63.0 
62.4 

82.6 
81.9 
81.2 
80.5 
79.8 
79.1 
78.4 

77.7 
77.0 
76.3 
75.6 
74.9 
74.2 
73.5 
73.5 
72.8 

94.4 
93.6 
92.8 
92.0 
91.2 
90.4 
89.6 

88.8 
88.0 
87.2 
86.4 
85.6 
84.8 
84.0 
84.0 
83.2 

106.2 
105.3 
104.4 
103.5 
102.6 
101.7 
100.8 

99.9 
99.0 
98.1 
97.2 
96.3 
95.4 
94.5 
94.5 
93.6 

184 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  415  L.  618.] 

[No.  459  L.  662. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 
105 

104 

103 
102 

101 

100 

99 
98 

97 
96 

95 

415 
6 

7 
8 
9 

420 
1 
2 
3 
4 
5 
6 

7  ' 
8 
9 

430 
1 

2 
3 
4 
5 
6 

7 
8 
9 

440 
1 

2 

3 
4 
5 
6 

7 
8 
9 

450 
1 
2 
3 
4 
5 
6 
7 

8 
9 

618048 
9093 

8153 
9198 

8257 
9302 

8362 
9406 

8466 
9511 

8571 
9615 

8676 
9719 

8780 
9824 

8884 
9928 

8989 

0032 
1072 
2110 
3146 

4179 
5210 
6238 
7263 
8287 
9308 

620136 
1176 
2214 

3249 
4282 
5312 
6340 
7366 
8389 
9410 

0240 
1280 
2318 

3353 
4385 
5415 
6443 
7468 
8491 
9512 

0344 
1384 
2421 

3456 
4488 
5518 
6546 
7571 
8593 
9613 

0448 
1488 
2525 

3559 
4591 
5621 
6648 
7673 
8695 
9715 

0552 
1592 
2628 

3663 
4695 
5724 
6751 
7775 
8797 
9817 

0656 
1695 
2732 

3766 
4798 
5827 
6853 
7878 
8900 
9919 

0760 
1799 
2835 

3869 
4901 
5929 
6956 
7980 
9002 

0864 
1903 
2939 

3973 
5004 
6032 
7058 
8082 
9104 

0968 
2007 
3042 

4076 
5107 
6135 
7161 
8185 
920(5 

0021 
1038 
2052 
3064 

4074 
5081 
6087 
7089 
8090 
9088 

0123 
1139 
2153 
3165 

4175 
5182 
6187 
7189 
8190 
9188 

0224 
1241 
2255 
3266 

4276 
5283 
6287 
7290 
8290 
9287 

0326 
1342 
2356 
3367 
4376 
5383 
6388 
7390 
8389 
9387 

630428 
1444 
2457 
3468 
4477 
5484 
6488 
7490 
8489 
9486 

0530 
1545 

2559 

3569 
4578 
5584 
6588 
7590 
8589 
9586 

0631 
1647 
2660 

3670 
4679 
5685 
6688 
7690 
8689 
9686 

0733 
1748 
2761 

3771 

4779 
5785 
6789 
7790 
8789 
9785 

0835 
1849 
2862 

3872 
4880 
5886 
6889 
7890 
8888 
9885 

0936 
1951 
2963 

3973 

4981 
5986 
6989 
7990 
8988 
9984 

0084 
1077 
2069 
3058 

4044 
5029 
6011 
6992 
7969 
8945 
9919 

0183 
1177 
2168 
3156 

4143 
5127 
6110 
7089 
8067 
9043 

0283 
1276 
2267 
3255 

4242 
5226 
6208 
7187 
8165 
9140 

0382 
1375 
2366 
3354 

4340 
5324 
6306 

7285 
8262 
9237 

640481 
1474 
2465 

3453 
4439 
5422 
6404 
7383 
8360 
9335 

0581 
1573 
2563 

3551 
4537 
5521 
6502 
7481 
8458 
9432 

0680 
1672 
2662 

3650 
4636 
5619 
6600 
7579 
8555 
9530 

0779 
1771 
2761 

3749 
4734 
5717 

6698 
7676 
8653 
9627 

0879 
1871 
2860 

3847 
4832 
5815 
6796 
7774 
8750 
9724 

0978 
1970 
2959 

3946 
4931 
5913 

6894 
7872 
8848 
9821 

0016 
0987 
1956 
2923 

3888 
4850 
5810 
6769 
7725 
8679 
9631 

0113 
1084 
2053 
3019 

3984 
4946 
5906 
6864 
7820 
8774 
9726 

0210 
1181 
2150 
3116 

4080 
5042 
6002 
6960 
7916 
8870 
9821 

650308 
1278 
2246 

3213 
4177 
5138 
6098 
7056 
8011 
8965 
9916 

0405 
1375 
2343 

3309 
4273 
5235 
6194 
7152 
8107 
9060 

0502 
1472 
2440 

3405 
4369 
5331 
6290 
7247 
8202 
9155 

0599 
1569 
2536 

3502 
4465 
5427 
6386 
7343 
8298 
9250 

0696 
1666 
2633 

3598 
4562 
5523 
6482 
7438 
8393 
9346 

0793 
1762 
2730 

3695 
4658 
5619 
6577 
7534 
8488 
9441 

0890 
1859 
2826 

3791 
4754 
5715 
6673 
7629 
8584 
9536 

0011 
0960 
1907 

0106 
1055 
2002 

0201 
1150 
2096 

0296 
1245 
2191 

0391 
1339 
2286 

0486 
1434 
2380 

0581 
1529 
2475 

0676 
1623 
2569 

0771 
1718 
2663 

660865 
1813 

PROPORTIONAL  PARTS. 

Diff. 

1 

2      3 

4      5 

6 

7      8 

9 

105 
104 
103 
102 
101 
100 
99 

10.5 
10.4 
i  10.3 
10.2 
10.1 
10.0 
9.9 

21.0    31.5 
20.  8    31.  2 
20.  6    30.  9 
20.4    30.6 
20.  2    30.  3 
20.  0    30.  0 
19.  8    29.  7 

42.0    52.5 
41.  6    52.  0 
41.2    51.5 
40.8    51.0 
40.  4    50.  5 
40.  0    50.  0 
39.6    49.5 

63.0 
62.4 
61.8 
61.2 
60.6 
60.0 
59.4 

73.  5    84.  0 
72.  8    83.  2 
72.  1    82.  4 
71.  4    81.  6 
70.  7    80.  8 
70.  0    80.  0 
69.  3    79.  2 

94.5 
93.6 
92.7 
91.8 
90.9 
90.0 
89.1 

185 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  460  L.  662.] 

(No.  499  L.  698. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Difl. 

460 

662758 

2852 

2947 

3041 

3135 

3230 

3324 

3418 

3512 

3607 

1 

3701 

3795 

3889 

3983 

4078 

4172 

4266 

4360  4454 

4548 

2 

4642 

4736 

4830 

4924 

50 

8 

5112 

5206 

5299  5 

193  548 

7 

94 

3 

5581 

5675 

5769 

5862 

5956 

6050 

6143 

6237  6331  i  6424 

4 

6518 

6612 

6705 

6799 

68< 

>2 

6986 

7079 

7173  7 

206   736 

3 

5 

7453 

7546 

7040 

7733 

78$ 

><; 

7920 

8013 

8106 

8 

199   829 

i 

6 

8386 

8479 

8572 

8665 

8759 

8852 

8945 

9038 

9131  9224 

7 

9317 

9410 

9503 

9596 

9689 

9782 

9875 

9967 

93 

0060  rt1t;'} 

8 

670246 

0339 

0431 

0524 

0617 

0710 

0802 

0895 

0988 

1080 

9 

1173 

1265 

1358 

1451 

1543 

1636  1728 

1821 

1913 

2005 

470 

2098 

2190 

2283 

2375 

2467 

2560  2652 

2744 

2836 

2929 

1 

3021 

3113 

3205 

3297 

33< 

K) 

3482  3574 

3666 

3 

"S 

385 

) 

2 

3942 

4034 

4126 

4218 

4310 

4402  ;  4494 

4586 

4677 

476 

9 

92 

3 

4861 

4953 

5045 

5137 

52$ 

28 

5320  5412 

5503 

5 

195 

568 

7 

4 

5778 

5870 

5962 

6053 

6145 

6236 

6328 

6419 

6511 

6602 

5 

6694 

6785 

6876 

6968 

70, 

)i) 

7151 

7242 

7333 

7 

424 

751 

5 

6 

7607 

7698 

7789 

7881 

7972 

8063 

8154 

8245 

8336 

8427 

7 

8518 

8609 

8700 

8791 

88! 

J2 

8973 

9064 

9155 

91 

2*6 

933 

1 

91 

g 

9428 

9519 

9610 

9700 

97 

)i 

9882 

9973 

fWiQ 

o 

1  ZA  \  no.i 

9 

680336 

0426 

0517 

0607 

06 

)S 

0789 

0879 

UUOO 

0970 

1060  1151 

480 

1241 

1332 

1422 

1513 

1603 

1693 

1784 

1874 

1964 

2055 

1 

2145 

2235 

2326 

2416 

25 

Xi 

2596 

2686 

2777 

2 

S67 

295 

7 

2 

3047 

3137 

3227 

3317 

3407 

3497 

3587 

3677 

3767 

3857 

90 

3 

3947 

4037 

4127 

4217 

43 

)7 

4396 

4486 

4576 

4 

m 

475 

S 

4 

4845 

4935 

5025 

5114 

5204 

5294 

5383 

5473 

5o63 

5652 

5 

5742 

5831 

5921 

6010 

61 

)0 

6189 

6279 

6368 

6 

4.58 

654 

7 

6 

6636 

6726 

6815 

6904 

69 

)4 

7083 

7172 

7261 

7351 

7440 

7 

7529 

7618 

7707 

7796 

78 

36 

7975 

8064 

8153 

8 

242 

833 

1 

89 

8 

8420 

8509 

8598 

8687 

87 

-6 

8865 

8953 

9042 

9 

131 

922 

0 

9 

9309 

9398 

',)4Sti 

9575 

9t> 

34 

9753 

9841 

OQQn 

yyou 

Ot 

11  n 

A  irk 

7 

490 

690196 

0285 

0373 

0462 

0550 

0639 

0728 

0816 

UL/-LJ7 

0905 

UlUi 

0993 

1 

1081 

1170 

1258 

1347 

14 

ft 

1524 

1612 

1700 

1 

7-s9 

187 

7 

2 

1965 

2053 

2142 

2230 

2318 

2406 

2494 

2583 

2671 

2759 

3 

2847 

2935 

3023 

3111 

31 

)9 

3287 

3375 

3463 

3 

>51 

363, 

9 

88 

4 

3727 

3815 

3903 

3991 

4078 

4166 

4254 

4342 

4430 

4517 

5 

4605 

4693 

4781 

4868 

49 

56 

5044 

5131 

5219 

5 

307 

539 

1 

6 

5482 

5569 

5657 

57-14 

58 

32 

5919 

6007 

6094 

6 

1S2 

626 

I 

7 

6356 

6444 

6531 

6618 

6706 

6793 

6880 

6968 

7055 

7142 

8 

7229 

7317 

7404 

7491 

75 

'8 

7665 

7752 

7839 

7 

>•_><> 

801 

1 

9 

8100 

8188 

8275 

8362 

8449 

8535 

8622 

8709 

8796 

8883 

87 

PROPORTIONAL  PARTS. 

Difl. 

1 

234 

5 

6 

7 

8 

9 

98 

9.8 

19.  6    29.  4    39.  2 

49.0 

58.8 

68.6 

78.4 

88.2 

97 

9.7 

19.  4    29.  1    38.  8 

48.5 

58.2 

67.9 

77.6 

87.3 

96 

9.6 

19.  2    28.  8    38.  4 

48.0 

57.6 

67.2 

76.8 

86.4 

95 

9.5 

19.  0    28.  5    38.  0 

47.5 

57.0 

66.5 

76.0 

85.5 

94 

9.4 

18.  8    28.  2    37.  6 

47.0 

56.4 

65.8 

75.2 

84.6 

93 

9.3 

18.6    27.9    37.2 

46.5 

55.8 

65.1 

74.4 

83.7 

92 

9.2 

18.  4    27.  6    36.  8 

46.0 

55.2 

64.4 

73.6 

82.8 

91 

9.1 

18.  2    27.  3    36.  4 

45.5 

54.6 

63.7 

72.8 

81.9 

90 

9.0 

18.  0    27.  0    36.  0 

45.0 

54.0 

63.0 

72.0 

81.0 

89 

8.9 

17.  8    26.  7    35.  6 

44.5 

53.4 

62.3 

71.2 

80.1 

88 

8.8 

17.  6    26.  4    35.  2 

44.0 

52.8 

61.6 

70.4 

79.2 

87 

8.7 

17.  4    26.  1    34.  8 

43.5 

52.2 

60.9 

69.6 

78.3 

86 

8.6 

17.  2    25.  8    34.  4 

43.0 

51.6 

60.2 

68.8 

77.4 

186 


TABLE  10.-LOGAR1THMS  OF  NUMBERS. 


No.  500  L.  698.] 

[No.  544  L.  736. 

N. 

0 

1 

a 

3 

4 

5 

6 

7 

8 

9 

Diff. 

500 
1 

2 
3 
4 
5 

6 
7 
8 
9 

510 
1 
2 

3 

4 
o 
G 
7 
8 
9 

520 
1 
2 

3 

4 

5 
6 

7 
8 
9 

"530 
1 
2 

3 
4 
5 

6 

7 

8 
9 

540 
1 
2 
3 
4 

698970 
9838 

9057 
9924 

9144 

9231 

9317 

9404 

9491 

9578 

9664 

9751 

86 
85 

84 

83 
82 

81 
80 

0011 
0877 
1741 
2603 
3463 
4322 
5179 
6035 
6888 

7740 
8591 
9440 

0098 
0963 
1827 
2689 
3549 
4408 
5265 
6120 
6974 

7826 
8676 
9524 

0184 
1050 
1913 
2775 
3635 
4494 
5350 
6206 
7059 

7911 
8761 
9609 

0271 
1136 
1999 
2861 
3721 
4579 
5436 
6291 
7144 

7996 
8846 
9694 

0358 
1222 
2086 
2947 
3807 
4665 
5522 
6376 
7229 

8081 
8931 
9779 

0444 
1309 
2172 
3033 
3893 
4751 
5607 
6462 
7315 

8166 
9015 
9863 

0531 
1395 
2258 
3119 
3979 
4837' 
5693 
6547 
7400 

8251 
9100 
9948 

0617 
1482 
2344 
3205 
4065 
4922 
5778 
6632 
7485 

8336 
9185 

700704 
1568 
2431 
3291 
4151 
5008 
5864 
6718 

7570 
8421 
9270 

0790 
1654 
2517 
3377 
4236 
5094 
5949 
6803 

7655 
8506 
9355 

0033 
0879 
1723 

2566 
3407 
4246 
5084 
5920 

6754 
7587 
8419 
9248 

710117 
0963 
1807 
2650 
3491 
4330 
5167 

6003 
6838 
7671 
8502 
9331 

0202 
1048 
1892 
2734 
3575 
4414 
5251 

6087 
6921 
7754 
8585 
9414 

0287 
1132 
1976 
2818 
3659 
4497 
5335 
6170 
7004 
7837 
8668 
9497 

0371 

1217 
2060 
2902 
3742 
4581 
5418 

6254 

7088 
7920 
8751 
9580 

0456 
1301 
2144 
2986 
3826 
4665 
5502 

6337 

7171 
8003 
8834 
9663 

0.540 
1385 
2229 
3070 
3910 
4749 
5586 

6421 
7254 
8086 
8917 
9745 

0625 
1470 
2313 
3154 
3994 
4833 
5669 

6504 
7338 
8169 
9000 
9828 

0710 
1554 
2397 
3238 
4078 
4916 
5753 

6588 
7421 
8253 
9083 
9911 

0794 
1639 
2481 
3323 
4162 
5000 
5836 

6671 
7504 
8336 
9165 
9994 

0077 
0903 
1728 
2552 
3374 
4194 

5013 
5830 
6646 
7460 
8273 
9084 
9893 

720159 
0986 
1811 
2634 
3456 

4276 
5095 
5912 
6727 
7541 
8354 
9165 
9974 

0242 
1068 
1893 
2716 
3538 

4358 
5176 
5993 
6809 
7623 
8435 
9246 

0325 
1151 

1975 
2798 
3620 

4440 
5258 
6075 
6890 
7704 
8516 
9327 

0407 
1233 
2058 
2881 
3702 

4522 
5340 
6156 

6972 
7785 
8597 
9408 

0490 
1316 
2140 
2963 
3784 

4604 
5422 
6238 
7053 
7866 
8678 
9489 

0573 
1398 
2222 
3045 
3866 

4685 
5503 
6320 
7134 
7948 
8759 
9570 

0655 
1481 
2305 
3127 
3948 

4767 
5585 
6401 
7216 
8029 
8841 
9651 

0738 
1563 
2387 
3209 
4030 

4849 
5667 
6483 
7297 
8110 
8922 
9732 

0821 
1646 
2469 
3291 

4112 

4931 

5748 
6564 
7379 
8191 
9003 
9818 

0055 
0863 
1669 

2474 
3278 
4079 
4880 
5679 

0136 
0944 
1750 

2555 
3358 
4160 
4960 
5759 

0217 
1024 
1830 

2635 
3438 
4240 
5040 
5838 

0298 
1105 
1911 

2715 
3518 
4320 
5120 
5918 

0378 
1186 
1991 

2796 
3598 
4400 
5200 
5998 

0459 
1266 
2072 

2876 
3679 
4480 
5279 
6078 

0540 
1347 

2152 

2956 
3759 
4560 
5359 
6157 

0621 
1428 
2233 

3037 
3839 
4640 
5439 
6237 

0702 
1508 
2313 

3117 
3919 
4720 
5519 
6317 

730782 
1589 

2394 
3197 
3999 
4800 
5599 

PROPORTIONAL  PARTS. 

Diff. 

1 

2      3 

4 

5 

6 

7 

8 

9 

87 
86 
85 
84 

8.7 
8.6 
8.5 
8.4 

17.  4    26.  1 
17.  2    25.  8 
17.  0    25.  5 
16.  8    25.  2 

34.8 
34.4 
34.0 
33.6 

43.5 
43.0 
42.5 
42.0 

52.2 
51.6 
51.0 
50.4 

60.9 
60.2 
59.5 
58.8 

69.6 
68.8 
68.0 
67.2 

78.3 
77.4 
76.5 
75.6 

187 


TABLE  10.-LOGARITHMS  OF  NUMBERS. 


No.  545  L.  736.] 

[No.  584 

L.  767. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

545 

736397 

6476 

6556 

6635 

6715 

6795 

6874 

6954 

7034 

7113 

6 

7193 

7272 

7352 

7431 

75 

11 

7590 

7670 

7749 

7 

S29 

790 

8 

7 

7987 

8067 

8146 

8225 

83 

)o 

8384 

8463 

8543 

8 

122 

870 

1 

8 

8781 

8860 

8939 

9018 

9097 

9177 

9256 

9335 

9414 

9493 

9651 

9731 

9810 

08 

~>9 

9968 

y 

Jo 

0047 

0126 

0205 

0284 

79 

550 

740363 

0442 

0521 

OGOO 

0678 

0757 

0836 

0915 

0994 

1073 

1 

1152 

1230 

1309 

1388 

14 

57 

1546 

1624 

1703 

1 

7S2 

186 

) 

2 

1939 

2018 

2096 

2175 

2254 

2332 

2411 

2489 

2568 

2647 

3 

2725 

2804 

2882 

2961 

30 

$9 

3118 

3196 

3275 

3 

',.->:•; 

343 

1 

4 

3510 

3588 

3667 

3745 

3823 

3902 

3980 

4058 

4136 

4215 

5 

4293 

4371 

4449 

4528 

46 

M 

4684 

4762 

4840 

4 

)19 

499 

7 

6 

5075 

5153 

5231 

5309 

53 

S7 

5465 

5543 

5621 

5 

199 

577 

7 

78 

7 

5855 

5933 

6011 

6089 

6167 

6245 

6323 

6401 

6479 

6556 

8 

6634 

6712 

6790 

6868 

69 

45 

7023 

7101 

7179 

7 

256 

733 

4 

9 

7412 

7489 

7567 

7645 

7722 

7800 

7878 

7955 

8033 

8110 

560 

8188 

8266 

8343 

8421 

8498 

8576 

8653 

8731 

8 

S08 

8885 

1 

2 

8963 
9736 

9040 
9814 

9118 
9891 

9195 
9968 

9272 

9350 

9427 

9504 

9582 

9659 

00 

i^ 

0123 

0200 

0277 

o 

1X.A 

043 

1 

3 

750508 

0586 

0663 

0740 

0817 

0894 

0971 

1048 

1125 

1202 

4 

1279 

1356 

1433 

1510 

15 

>7 

1664 

1741 

1818 

1 

Sl)5 

197 

2 

5 

2048 

2125 

2202 

2279 

2356 

2433 

2509 

2586 

2663 

2740 

77 

6 

2816 

2893 

2970 

3047 

31 

23 

3200 

3277 

3353 

3 

430 

350 

6 

7 

3583 

3660 

3736 

3813 

38 

S9 

3966 

4042 

4119 

4 

195 

427 

2 

8 

4348 

4425 

4501 

4578 

4654 

4730 

4807 

4883 

4960 

5036 

9 

5112 

5189 

5265 

5341 

5417 

5494 

5570 

5646 

5722 

5799 

570 

5875 

5951 

6027 

6103 

6180 

6256 

6332 

6408 

6484 

6560 

1 

6636 

6712 

6788 

6864 

69 

40 

7016 

7092 

7168 

7244 

7320 

76 

2 

7396 

7472 

7548 

7624 

77 

K) 

7775 

7851 

7927 

8 

)()3 

807 

9 

3 

8155 

8230 

8306 

8382 

8458 

8533 

8609 

8685 

8761 

8836 

4 

8912 
OfifiS 

8988 
0740 

9063 

Q01Q 

9139 

QOQ4 

9214 
9970 

9290 

9366 

9441 

9517 

9592 

yooo 

y  /4o 

ysiy 

yoy-± 

0045 

0121 

0196 

0272 

0347 

6 

760422 

0498 

0573 

0649 

0724 

0799 

0875 

0950 

1025 

1101 

7 

1176 

1251 

1326 

1402 

1477 

1552 

1627 

1702 

1778 

1853 

8 

1928 

2003 

2078 

2153 

22 

28 

2303 

2378 

2453 

2. 

329 

260 

4 

9 

2679 

2754 

2829 

2904 

2978 

3053 

3128 

3203 

3278 

3353 

75 

580 

3428 

3503 

3578 

3653 

3727 

3802 

3877 

3952 

4027 

4101 

1 

4176 

4251 

4326 

4400 

44 

-5 

4550 

4624 

4699 

4 

774 

484 

8 

2 

4923 

499S 

5072 

5147 

52 

21 

5296 

5370 

5445 

5 

520 

559 

4 

3 

5669 

5743 

5818 

5892 

5966 

6041 

6115 

6190 

6264 

6338 

4 

6413 

6487 

6562 

6636 

6710 

6785 

6859 

6933 

7007 

7082 

PROPORTIONAL  PARTS. 

Diff. 

1 

234 

5              6 

7 

8 

9 

83 

8.3 

16.  6         24.  9         33.  2 

41.  5         49.  8 

58.1 

66.4 

74.7 

82 

8.2 

16.  4         24.  6         32.  8 

41.  0         49.  2 

.    57.4 

65.6 

73.8 

81 

8.1 

16.  2         24.  3         32.  4 

40.  5         48.  6 

56.7 

64.8 

72.9 

80 

8.0 

16.  0         24.  0         32.  0 

40.  0         48.  0 

56.0 

64.0 

72.0 

79 

7.9 

15.8         23.7         31.6 

39.5         47.4 

55.3 

63.2 

71.1 

78 

7.8 

15.  6         23.  4         31.  2 

39.  0         46.  8 

54.6 

62.4 

70.2 

77 

7.7 

15.  4         23.  1         30.  8 

38.  5         46.  2 

53.9 

61.6 

69.3 

76 

7.6 

15.  2         22.  8         30.  4 

38.  0         45.  6 

53.2 

60.8 

68.4 

75 

7.5 

15.0         22.5         30.0 

37.  5         45.  0 

52.5 

60.0 

67.5 

74 

7.4 

14.  8         22.  2         29.  6 

37.  0         44.  4 

51.8 

59.2 

66.6 

188 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  585  L.  767.]                                      [No.  629  L.  799. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

585 

767156 

7230 

7304 

7379 

7453 

7527 

7601 

7675 

7749 

7823 

6 

7898 

7972 

8046 

8120 

X8194 

8268 

8342 

8416 

8490 

8564 

74 

7 

8638 

8712 

8786 

8860 

8934 

9008 

9082 

9156 

9230 

9303 

r\Q77 

f\A  C1 

Ofxoc; 

qrqq 

Qfi73 

9746 

9820 

9894 

9968 

8 

uoi  t 

y4oi 

yo—o 

yo.?y 

yo/o 

0042 

9 

770115 

0189 

0263 

0336 

0410 

0484 

0557 

0631 

0705 

0778 

590 

0852 

0926 

0999 

1073 

1146 

1220 

1293 

1367 

1440 

1514 

1 

1587 

1661 

1734 

1808 

1881 

1955 

2028 

2102 

2175 

2248 

2 

2322 

2395 

2468 

2542 

2615 

2688 

2762 

2835 

2908 

2981 

3 

3055 

3128 

3201 

3274 

3348 

3421 

3494 

3567 

3640 

3713 

4 

3786 

3860 

3933 

4006 

4079 

4152 

4225 

4298 

4371 

4444 

73 

5 

4517 

4590 

4663 

4736 

4809 

4882 

4955 

5028 

5100 

5173 

6 

5246 

5319 

5392 

5465 

5538 

5610 

5683 

5756 

5829 

5902 

7 

5974 

6047 

6120 

6193 

6265 

6338 

6411 

6483 

6556 

6629 

8 

6701 

6774 

6846 

6919 

6992 

7064 

7137 

7209 

7282 

7354 

9 

7427 

7499 

7572 

7644 

7717 

7789 

7862 

7934 

8006 

8079 

600 

8151 

8224 

8296 

8368 

8441 

8513 

8585 

8658 

8730 

8802 

1 

8874 

8947 

9019 

9091 

9163 

9236 

9308 

9380 

9452 

9524 

Qrnft 

GAAQ 

97J.1 

Q010 

qooe: 

nqery 

yoyo 

yooy 

/4i 

yoio 

yooo 

yyo/ 

0029 

0101 

0173 

0245 

72 

3 

780317 

0389 

0461 

0533 

0605 

0677 

0749 

0821 

0893 

0965 

i  ^ 

4 

1037 

1109 

1181 

1253 

1324 

1396 

1468 

1540 

1612 

1684 

5 

1755 

1827 

1899 

1971 

2042 

2114 

2186 

2258 

2329 

2401 

6 

2473 

2544 

2616 

2688 

2759 

2831 

2902 

2974 

3046 

3117 

7 

3189 

3260 

3332 

3403 

3475 

3546 

3618 

3689 

3761 

3832 

8 

3904 

3975 

4046 

4118 

4189 

4261 

4332 

4403 

4475 

4546 

9 

4617 

4689 

4760 

4831 

4902 

4974 

5045 

5116 

5187 

5259 

610 

5330 

5401 

5472 

5543 

5615 

5686 

5757 

5828 

5899 

5970 

1 

6041 

6112 

6183 

6254 

6325 

6396 

6467 

6538 

6609 

6680 

71 

2 

6751 

6822 

6893 

6964 

7035 

7106 

7177 

7248 

7319 

7390 

3 

7460 

7531 

7602 

7673 

7744 

7815 

7885 

7956 

8027 

8098 

4 

8168 

8239 

8310 

8381 

8451 

8522 

8593 

8663 

8734 

8804 

5 

8875 

8946 

9016 

9087 

9157 

9228 

9299 

9369 

9440 

9510 

oroi 

QAM 

Q79O 

Q7Q9 

qor.o 

9933 

yooi 

yooi 

9t£& 

j  t  y^ 

youo 

0004 

0074 

0144 

0215 

7 

790285 

0356 

0426 

0496 

0567 

0637 

0707 

0778 

0848 

0918 

8 

0988 

1059 

1129 

1199 

1269 

1340 

1410 

1480 

1550 

1620 

9 

1691 

1761 

1831 

1901 

1971 

2041 

2111 

2181 

2252 

2322 

620 

2392 

2462 

2532 

2602 

2672 

2742 

2812 

2882 

2952 

3022 

70 

1 

3092 

3162 

3231 

3301 

3371 

3441 

3511 

3581 

3651 

3721 

2 

3790 

3860 

3930 

4000 

4070 

4139 

4209 

4279 

4349 

4418 

3 

4488 

4558 

4627 

4697 

4767 

4836 

4906 

4976 

5045 

5115 

4 

5185 

5254 

5324 

5393 

5463 

5532 

5602 

5672 

5741 

5811 

5 

5880 

5949 

6019 

6088 

6158 

6227 

6297 

6366 

6436 

6505 

6 

6574 

6614 

6713 

6782 

6852 

6921 

6990 

7060 

7129 

7198 

7 

7268 

7337 

7406 

7475 

7545 

7614 

7683 

7752 

7821 

7890 

8 

7960 

8029 

8098 

8167 

8236 

8305 

8374 

8443 

8513 

8.582 

9 

8651 

8720 

8789 

8858 

8927 

8996 

9065 

9134 

9203 

9272 

69 

PROPORTIONAL  PARTS. 

Diff. 

1 

2345 

6 

789 

75 

7.5 

15.0    22.5    30.0    37.5 

45.0 

52.  5    60.  0   67.  5 

74 

7.4 

14.8    22.2    29,6    37.0 

44.4 

51.8    59.2   66.6 

73 

7.3 

14.6    21.9    29.2    36.5 

43.8 

51.  1    58.  4   65.  7 

72 

7.2 

14.4    21.6    28.8    36.0 

43.2 

50.  4    57.  6   64.  8 

71 

7.1 

14.2    21.3    28.4    35.5 

42.6 

49.  7    56.  8   63.  9 

70 

7.0 

14.0    21.0    28.0    35.0 

42.0 

49.  0    56.  0   63.  0 

69 

6.9 

13.8    20.7    27.6    34.5 

41.4 

48.  3    55.  2   62.  1 

189 


TABLE  10.-LOGARITHMS  OF  NUMBERS. 


No.  630  L.  799.]                                   [No.  674  L.  829. 

N. 

0 

1 

2 

3 

4 

5 

6 

1 

8 

9 

Diff. 

630 

799341 

9409 

9478 

9547 

9616 

9685 

9754 

9823 

9892 

9961 

1 

800029 

0098 

0167 

0236 

0305  . 

0373 

0442 

0511 

0580 

0648 

2 

0717 

0786 

OS54 

0923 

(><W2   1061 

1129 

1198 

1266 

1335 

3 

1404 

1472 

1541 

1609 

1678 

1747 

1815 

1884 

1952 

2021 

4 

2089 

2158 

2226 

2295 

2363 

2432 

2500 

2568 

2637 

2705 

5 

2774 

2842 

2910 

2979 

3047 

3116 

3184 

3252 

3321 

3389 

6 

3457 

3525 

3594 

3662 

3730 

3798 

3867 

3935 

4003 

4071 

7 

4139 

4208 

4276 

4344 

4112 

4480  4548 

4616 

4685 

4753 

8 

4821 

4889 

4957 

5025 

5093 

5161  5229 

5297 

5365  i  5433 

68 

9 

5501 

5569 

5637 

5705 

5773 

5841 

5908 

5976 

6044 

6112 

640 

806180 

6248 

6316 

6384 

6451 

9619 

6587 

6655 

6723 

6790 

1 

6858 

6926 

OW4 

7061 

7129 

7197 

7264 

7332 

7400 

7467 

2 

7535 

7603 

7670 

7738 

7806 

7873 

7941  i  8008 

8076 

8143 

3 

8211 

8279 

8346 

8414 

8481 

8549 

8616  |  8684 

8751 

8818 

4 

K 

8886 
9560 

8953 
9627 

9021 
9694 

9088 
9762 

9156 

9829 

9223 

9896 

9290 
9964 

9358 

9425 

9492 

o 

0031 

0098 

0165 

6 

810233 

0300 

0367 

0434 

0501 

0569 

0636 

0703 

0770 

0837 

7 

0904 

0971 

1039 

1106 

1173 

1240 

1307 

1374 

144 

1508 

67 

8 

1575 

1642 

1709 

1776 

1843 

1910 

1977 

2044 

2111 

2178 

9 

2245 

2312 

2379 

2445 

2512 

2579 

2646 

2713 

2780 

2847 

650 

2913 

2980 

3047 

3114 

3181 

3247 

3314 

3381 

3448 

3514 

1 

3581 

3648 

3714 

3781 

3848 

3914 

3981 

4048 

4114 

41S1 

2 

4248 

4314 

4381 

4447 

4514 

4581 

4647 

4714 

4780 

4847 

3 

4913 

4980 

5046 

5113 

5179 

5246 

5312 

5378 

5445 

5511 

4 

5578 

5644 

5711 

5777 

5843 

5910 

5970 

6042 

6109 

6175 

5 

6241 

6308 

6374 

6440 

6506 

6573 

6639 

6705 

6771 

6838 

6 

6904 

6970 

7036 

7102 

7169 

7235 

7301 

7367 

7433 

7499 

7 

7565 

7631 

7698 

7764 

7830 

7896 

7962 

8028 

8094 

8100 

8 

8226 

8292 

8358 

8424 

8490 

8556 

8622 

8688 

8754 

8820 

£\(\ 

9 

8885 

8951 

9017 

9083 

9149 

9215  9281 

9346 

9412 

9478 

OO 

fifiO 

Qr>44 

QfUO 

9676 

9741 

9807 

9873 

9939 

oou 

yo^^t 

yoiu 

0004 

0070 

0136 

1 

820201 

0267 

0333 

0399 

0464 

0530  0595 

0661 

0727 

0792 

2 

0858 

0924 

0989 

1055 

1120 

1186  1251 

1317 

1362 

1448 

3 

1514 

1579 

1645 

1710 

1775 

1841  1906 

1972 

2037 

2103 

4 

2168 

2233 

2299 

2364 

2430 

2495  2560 

2626 

2691 

2756 

5 

2822 

2887 

2952 

3018 

3083 

3148  j  3213 

3279 

3344 

3409 

6 

3474 

3539 

3605 

3670 

3735 

3800 

3SG5 

3930 

3996 

4061 

7 

4126 

4191 

4256 

4321 

4386 

4451 

4516 

4581 

4646 

4711 

8 

4776 

4841 

4906 

4971 

5036 

5101 

5166 

5231 

5296 

5361 

65 

9 

5426 

5491 

5556 

5621 

5686 

5751 

5815 

5880 

5945 

6010 

670 

6075 

6140 

6204 

6269 

6334 

6399 

6464 

6528 

6593 

6658 

1 

6723 

6787 

6852 

6917 

6981 

7046 

7111 

7175 

7240 

7305 

2 

7369 

7434 

7499 

7563 

7628 

7692 

7757 

7821 

7886 

7951 

3 

8015 

8080 

8144 

8209 

8273 

8338 

8402 

8467 

8531 

8595 

4 

8660 

8724 

8789 

8853 

8918 

8982  |  9046 

9111 

9175 

9239 

PKOPOETIONAL  PARTS. 

Diff. 

1 

2      34      5 

6 

7      8 

9 

68 

6.8 

13.6    20.4    27.2    34.0 

40.8 

47.  6    54.  4 

61.2 

67 

6.7 

13.4    20.1    26.8    33.5 

40.2 

46.  9    53.  6 

60.3 

66 

6.6 

13.2    19.8    26.4    33.0 

39.6 

46.  2    52.  8 

59.4 

65 

6.5 

13.0    19.5    26.0    32.5 

39.0 

45.  5    52.  0 

58.5 

64 

6.4 

12.8    19.2    25.6    32.0 

38.4 

44.8    51.2 

57.6 

190 


TABLE   10. -LOGARITHMS  OF  NUMBERS. 


No.  675  L.  829.]                                    [No.  719  L.  857. 

N. 

0 

1 

2 

3 

4 

*|  6 

7 

8 

9 

Difl. 

I 

675 

829304 

9368 

9432 

9497 

9561 

9625 

9690 

9754 

9818 

9882 

g 

9947 

0011 

0075 

0139 

0204 

0268 

0332 

0396 

0460 

0525 

7 

830589 

0653 

0717 

0781 

0845 

0909 

0973 

1037 

1102 

1166 

8 

1230 

1294 

1358 

1422 

1486 

1550 

1614 

1678 

1742 

1806 

64 

9 

1870 

1934 

1998 

2062 

2126 

2189 

2253 

2317 

2381 

2445 

680 

2509 

2573 

2637 

2700 

2764 

2828 

2892 

2956 

3020 

3083 

1 

3147 

3211 

3275 

3338 

3402 

3466 

3530 

3593 

3657 

3721 

2 

•  3784 

3848 

3912 

3975 

4039 

4103 

4166 

4230 

4294 

4357 

3 

4421 

4484 

4548 

4611 

4675 

4739 

4802 

4866 

4929 

4993 

4 

5056 

5120 

5183 

5247 

5310 

5373 

5437 

5500 

5564 

5627 

5 

5691 

5754 

5817 

5881 

5944 

6007 

6071 

6134 

6197 

6261 

0 

6324 

6387 

6451 

6514 

6577 

6641 

6704 

6767 

6830 

6894 

7 

6957 

7020 

7083 

7146 

7210 

7273 

7336 

7399 

7462 

7525 

8 

75S8 

7652 

7715 

7778 

7841 

7904 

7967 

8030 

8093 

8156 

9 

8219 

8282 

8345 

8408 

8471 

8534 

8597 

8660 

8723 

8786 

63 

690 

8849 

8912 

8975 

9038 

9101 

9164 

9227 

9289 

9352 

9415 

1 

9478 

9541 

9604 

9667 

9729 

9792 

9855 

9918 

9981 

0043 

2 

840106 

0169 

0232 

0294 

0357 

0420 

0482 

0545 

0608 

0671 

3 

0733 

0796 

0859 

0921 

0984 

1046 

1109 

1172 

1234 

1297 

4 

1359 

1422 

1485 

1547 

1610 

1672 

1735 

1797 

1860 

1922 

5 

1985 

2047 

2110 

2172 

2235 

2297 

2360 

2422 

2484 

2547 

6 

2609 

2672 

2734 

2796 

2859 

2921 

2983 

3046 

3108 

3170 

7 

3233 

3295 

3357 

3420 

3482 

3544 

3606 

3669 

3731 

3793 

8 

3855 

3918 

3980 

4042 

4104 

4166 

4229 

4291 

4353 

4415 

9 

4477 

4539 

4601 

4664 

4726 

4788 

4850 

4912 

4974 

5036 

700 

5098 

5160 

5222 

5284 

5346 

5408 

5470 

5532 

5594 

5656 

62 

1 

5718 

5780 

5842 

5904 

5966 

6028 

6090 

6151 

6213 

6275 

2 

6337 

6399 

6461 

6523 

6585 

6646 

6708 

6770 

6832 

6894 

3 

6955 

7017 

7079 

7141 

7202 

7264 

7326 

7388 

7449 

7511 

4 

7573 

7634 

7696 

7758 

7819 

7881 

7943 

8004 

8066 

8128 

5 

8189 

8251 

8312 

8374 

8435 

8497 

8559 

8620 

8682 

8743 

6 

8805 

8866 

8928 

8989 

9051 

9112 

9174 

9235 

9297 

9358 

7 

9419 

9481 

9542 

9604 

9665 

9726 

9788 

9849 

9911 

9972 

8 

850033 

0095 

0156 

0217 

0279 

0340 

0401 

0462 

0524 

0585 

9 

0646 

0707 

0769 

0830 

0891 

0952 

1014 

1075 

1136 

1197 

710 

1258 

1320 

1381 

1442 

1503 

1564 

1625 

1686 

1747 

1809 

1 

1870 

1931 

1992 

2053 

2114 

2175 

2236 

2297 

2358 

2419 

2 

2480 

2541 

2602 

2663 

2724 

2785 

2846 

2907 

2968 

3029 

61 

3 

3090 

3150 

3211 

3272 

3333 

3394 

3455 

3516 

3577 

3637 

4 

3698 

3759 

3820 

3881 

3941 

4002 

4063 

4124 

4185 

4245 

5 

4306 

4367 

4428 

4488 

4549 

4610 

4670 

4731 

4792 

4852 

6 

4913 

4974 

5034 

5095 

5156 

5216 

5277 

5337 

5398 

5459 

7 

5519 

5580 

5640 

5701 

5761 

5822 

5882 

5943 

6003 

6064 

8 

6124 

6185 

6245 

6306 

6366 

6427 

6487 

6548 

6608 

6668 

9 

6729 

6789 

6850 

6910 

6970 

7031 

7091 

7152 

7212 

7272 

PROPORTIONAL  PARTS. 

Diff. 

1 

2345 

6 

789 

65 

6.5 

13.0    19.5    26.0    32.5 

39.0 

45.  5    52.  0   58.  5 

64 

6.4 

12.8    19.2    25.6    32.0 

38.4 

44.  8    51.  2   57.  6 

63 

6.3 

12.6    18.9    25.2    31.5 

37.8 

44.  1    50.  4   56.  7 

62 

6.2 

12.4    18.6    24.8    31.0 

37.2 

43.  4    49.  6   55.  8 

61 

6.1 

12.2    18.3    24.4    30.5 

36.6 

42.  7    48.  8   54.  9 

60 

6.0 

12.0    18.0    24.0    30.0 

36.0 

42.  0    48.  0   54.  0 

191 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  720  L.  857.]                                                                                          [No.  764  L.  883. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

720 

857332 

7393 

7453 

7513 

7574 

7(534 

7094 

7755 

7815 

7875 

1 

7935 

7995 

8056 

SI  16 

8176 

8236 

8297 

8:!f)7 

8417 

8477 

2 

8537 

8597 

8057 

8718 

8778 

8838 

8898 

8958 

9018 

9078 

3 

9138 

9198 

9258 

9318 

9379 

9439 

9499 

9559 

9619 

9679 

60 

4 

9739 

9799 

9859 

9918 

9978 

0038 

0098 

0158 

0218 

0278 

5 

860338 

0398 

0458 

0518 

0578 

0637 

0697 

0757 

0817 

0877 

6 

0937 

0996 

1056 

1116 

1176 

1236 

1295 

1355 

1415 

1475 

7 

1534 

1594 

1654 

1714 

1773 

1833 

1893 

1952 

2012 

2072 

8 

2131 

2191 

2251 

2310 

2370 

2430 

2489 

2549 

2608 

2068 

9 

2728 

2787 

2847 

2906 

2966 

3025 

3085 

3144 

3204 

3263 

730 

3323 

3382 

3442 

3501 

3561 

3620 

3680 

3739 

3799 

3858 

1 

3917 

3977 

4036 

4096 

4155 

4214 

4274 

4333 

4392 

4452 

2 

4511 

4570 

4630 

4689 

4748 

4808 

4867 

4U2li 

4985 

5045 

3 

5104 

5163 

5222 

5282 

5341 

5400 

5459 

5519 

5578 

5637 

4 

5696 

5755 

5814 

5874 

5933 

5992 

6051 

6110 

(.1(59 

6228 

5 

6287 

6346 

6405 

6465 

6524 

6583 

6642 

6701 

6760 

6819 

6 

6878 

6937 

6996 

7055 

7114 

7163 

7232 

7291 

73.50 

7409 

59 

7 

7467 

7526 

7585 

7644 

7703 

7762 

7821 

7880 

7939 

7998 

8 

8056 

8115 

8174 

8233 

8292 

8350 

8-109 

8468 

8527 

8586 

9 

8644 

8703 

8762 

8821 

8879 

8938 

8997 

9056 

9114 

9173 

740 

9232 

noi  o 

9290 

QC77 

9349 

QQOC 

9408 

QQQA 

9466 

9525 

9584 

9642 

9701 

9760 

yoJ.c< 

y&t  t 

yy«5o 

yyy^i 

0053 

0111 

0170 

0228 

Q907 

034  T 

2 

870404 

0462 

0521 

0579 

0638 

0696 

0755 

0813 

U—  o/ 

0872 

Uo4O 

0930 

3 

0989 

1047 

1106 

1164 

1223 

1281 

1339 

1398 

1456 

1515 

4 

1573 

1631 

1C90 

1748 

1806 

1865 

1923 

1981 

2040 

2008 

5 

2156 

2215 

2273 

2331 

2389 

2448 

2506 

2564 

2622 

2681 

6 

2739 

2797 

2855 

2913 

2972 

3030 

3088 

3146 

3204 

3262 

7 

3321 

3379 

3437 

3495 

3553 

3611 

3669 

3727 

3785 

3844 

8 

3902 

3960 

4018 

4076 

4134 

4192 

4250 

4308 

4366 

4424 

58 

9 

4482 

4540 

4598 

4656 

4714 

4772 

4830 

4888 

4945 

5003 

750 

5061 

5119 

5177 

5235 

5293 

5351 

5409 

5466 

5524 

5582 

1 

5640 

5698 

5756 

5813 

5871 

5929 

5987 

6045 

6102 

6160 

2 

6218 

6276 

6333 

6391 

6449 

6507 

6564 

6622 

C680 

6737 

3 

6795 

6853 

6910 

6968 

7026 

7083 

7141 

7199 

7256 

7314 

4 

7371 

7429 

7487 

7544 

7602 

7659 

7717 

7774 

7832 

7889 

5 

7947 

8004 

8062 

8119 

8177 

8234 

8292 

8349 

8407 

8464 

6 

8522 

8579 

8637 

8694 

8752 

8809 

8866 

8924 

8981 

9039 

7 

9096 

9153 

9211 

9268 

9325 

9383 

9440 

9497 

9555 

9612 

lit  TU 

Q72fi 

9784 

9841 

9898 

9956 

yuoy 

y  /zo 

0013 

0070 

0127 

0185 

9 

880242 

0299 

0356 

0413 

0471 

0528 

0585 

0642 

0699 

0756 

760 

0814 

0871 

0928 

0985 

1042 

1099 

1156 

1213 

1271 

1328 

1 

1385 

1442 

1499 

1556 

1613 

1670 

1727 

1784 

1841 

1898 

2 

1955 

2012 

2069 

2126 

2183 

2240 

2297 

2354 

2411 

2408 

57 

I 

2525 

2581 

2638 

2695 

2752 

2809 

2866 

2923 

2980 

3037 

4 

3093 

3150 

3207 

3264 

3321 

3377 

3434 

3491 

3548 

3605 

PROPORTIONAL  PARTS. 

Diff. 

1 

2345 

6 

789 

59 

5.9 

11.8         17.7         23.6         29.5 

35.4 

41.  3         47.  2         53.  1 

58 

5.8 

11.6         17.4         23.2         29.0 

34.8 

40.  6         46.  4         52.  2 

57 

5.7 

11.4         17.1         22.8         28.5 

34.2 

39.9         45.6         51.3 

56 

5.6 

11.2         16.8         22.4         28.0 

33.6 

39.  2         44.  8         50.  4 

192 


TABLE  10.-LOGARITHMS  OF  NUMBERS. 


No.  765  L.  883.]                                  [No.  809  L.  908. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

765 

883661 

3718 

3775 

3832 

3888 

3945 

4002 

4059 

4115 

4172 

6 

4229 

4285 

4342 

4399 

4455 

4512 

4569 

4625 

4682 

4739 

7 

4795 

4852 

4909 

4965 

5022 

507S 

5135 

5192 

5248 

5305 

8 

5361 

5418 

5474 

5531 

5.587 

5644 

5700 

5757 

5813 

5870 

9 

5926 

5983 

6039 

6096 

6152 

6209 

6265 

6321 

6378 

6434 

770 

6491 

6547 

6604 

6660 

6716 

6773 

6829 

6885 

6942 

6998 

1 

7054 

7111 

7167 

7223 

7280 

7336 

7392 

7449 

7505 

7561 

2 

7617 

7674 

7730 

7786 

7842 

7898 

7955 

8011 

8067 

8123 

3 

8179 

8236 

8292 

8348 

8404 

8460 

8516 

8573 

8629 

8685 

4 

8741 

8797 

8853 

8909 

8965 

9021 

9077 

9134 

9190 

9246 

5 

9302 
9862 

9358 
9918 

9414 
9974 

9470 

9526 

9582 

9638 

9694 

9750 

9806 

56 

0030 

0086 

0141 

0197 

0253 

0309 

0365 

7 

890421 

0477 

0533 

0589 

0645 

0700 

0756 

0812 

0868 

0924 

8 

0980 

1035 

1091 

1147 

1203 

1259 

1314 

1370 

1426 

1482 

9 

1537 

1593 

1649 

1705 

1760 

1816 

1872 

1928 

1983 

2039 

780 

2095 

2150 

2206 

2262 

2317 

2373 

2429 

2484 

2540 

2595 

1 

2651 

2707 

2762 

2818 

2873 

2929 

2985 

3040 

3096 

3151 

2 

3207 

3262 

3318 

3373 

3429 

3484 

3540 

3595 

3651 

3706 

3 

3762 

3817 

3873 

3928 

3984 

4039 

4094 

4150 

4205 

4201 

4 

4316 

4371 

4427 

4482 

4538 

4593 

4648 

4704 

4759 

4814 

5 

4870 

4925 

4980 

5036 

5091 

5146 

5201 

5257 

5312 

5367 

6 

5423 

5478 

5533 

5588 

5644 

5699 

5754 

5809 

5864 

5920 

7 

5975 

6030 

6085 

6140 

6195 

6251 

6306 

6361 

6416 

6471 

8 

6526 

6581 

6636 

6692 

6747 

6802 

6857 

6912 

6967 

7022 

9 

7077 

7132 

7187 

7242 

7297 

7352 

7407 

7462 

7517 

7572 

55 

790 

762  / 

7682 

7737 

7792 

7847 

7902 

7957 

8012 

8067 

8122 

1 

8176 

8231 

8286 

8341 

8396 

8451 

8506 

8561 

8615 

8670 

2 

8725 

8780 

8835 

8890 

8944 

8999 

9054 

9109 

9164 

9218 

3 

A 

9273 
9821 

9328 

Q07  C 

9383 
9930 

9437 
qqoc 

9492 

9547 

9602 

9656 

9711 

9766 

yew  o 

yyoo 

0039 

0094 

0149 

0203 

0258 

0312 

5 

900367 

0422 

0476 

0531 

0586 

0640 

0695 

0749 

0804 

0859 

6 

0913 

0968 

1022 

1077 

1131 

1186 

1240 

1295 

1349 

1404 

7 

1458 

1513 

1567 

1622 

1676 

1731 

1785 

1840 

1894 

1948 

8 

2003 

2057 

2112 

2166 

2221 

2275 

2329 

2384 

2438 

2492 

9 

2547 

2601 

2655 

2710 

2764 

2818 

2873 

2927 

2981 

3036 

800 

3090 

3144 

3199 

3253 

3307 

3361 

3416 

3470 

3524 

3578 

1 

3633 

3687 

3741 

3795 

3849 

3904 

3958 

4012 

4066 

4120 

2 

4174 

4229 

4283 

4337 

4391 

4445 

4499 

4553 

4607 

4661 

3 

4710 

4770 

4824 

4878 

4932 

4986 

5040 

5094 

5148 

5202 

4 

5256 

5310 

5364 

5418 

5472 

5526 

5580 

5634 

5688 

5742 

54 

5 

5796 

5850 

5904 

5958 

6012 

6066 

6119 

6173 

6227 

6281 

6 

6335 

6389 

6443 

6497 

6551 

6604 

6658 

6712 

6766 

6820 

7 

6874 

6927 

6981 

7035 

7089 

7143 

7196 

7250 

7304 

7358 

8 

7411 

7465 

7519 

7573 

7626 

7680 

7734 

7787 

7841 

7895 

9 

7949 

8002 

8056 

8110 

8163 

8217 

8270 

8324 

8378 

8431 

PROPORTIONAL  PARTS. 

Diff. 

1 

2345 

6 

789 

57 

5.7 

11.4    17.1    22.8    28.5 

34.2 

39.9    45.6    51.3 

56 

5.6 

11.2    16.8    22.4    28.0 

33.6 

39.  2    44.  8    50.  4 

55 

5.5 

11.0    16.5    22.0    27.5 

33.0 

38.  5    44.  0    49.  5 

54 

5.4 

10.8    16.2    21.6    27.0 

32.4 

37.  8    43.  2    48.  6 

41749-10 13 


193 


TABLE  10.— LOGARITHMS  OF  NUMBERS. 


No.  810  L.  908.] 

[No.  854  L.  931. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

810 

908485 

8539 

8592 

8646 

8699 

8753 

8807 

8860 

8914 

8967 

1 

9021 

9074 

9128 

9181 

9235 

9289 

9342 

9396 

9449 

9503 

2 

9556 

9610 

9663 

9716 

9770 

9823 

9877 

9930 

9984 

on*?  7 

3 

910091 

0144 

0197 

0251 

0304 

0358 

0411 

0464 

0518 

UUoV 

0571 

4 

0624 

0678 

0731 

0784 

08 

$ 

0891 

0944 

0998 

1051 

1104 

5 

1158 

1211 

1264 

1317 

1371 

1424 

1477 

1530 

1584 

1637 

6 

1690 

1743 

1797 

1850 

19 

03 

1956 

2009 

2063 

2116 

2169 

7 

2222 

2275 

2328 

2381 

24 

J5 

2488 

2541 

2594 

2647 

2700 

8 

2753 

2806 

2859 

2913 

2966 

3019 

3072 

3125 

3178 

3231 

9 

3284 

3337 

3390 

3443 

3496 

3549 

3602 

3655 

3708 

3761 

53 

820 

3814 

3867 

3920 

3973 

4026 

4079 

4132 

4184 

4237 

4290 

4343 

4396 

4449 

4502 

4555 

4608 

4600 

4713 

4766 

4819 

2 

4872 

4925 

4977 

5030 

50 

S3 

5136 

5189 

5241 

5294 

5347 

3 

5400 

5453 

5505 

5558 

.r)Gll 

5664 

5716 

5769 

5822 

5875 

4 

5927 

5980 

6033 

6085 

61 

18 

6191 

6243 

6296 

6349 

6401 

5 

6454 

6507 

6559 

6612 

tsf 

64 

6717 

6770 

6822 

6875 

6927 

6 

6980 

7033 

7085 

7138  1  7190 

7243 

7295 

7348 

7400 

7453 

7 

7506 

7558 

7611 

7663 

7716 

7768 

7820 

7873 

7925 

7978 

8 

8030 

8083 

8135 

8188 

82 

to 

8293 

8345 

8397 

8450 

8502 

9 

8555 

8607 

8659 

8712 

8764 

8816 

8869 

8921 

8973 

9026 

830 

9078 

9130 

9183 

9235 

9287 

9340 

9392 

9444 

9496 

9549 

1 

9601 

9653 

9706 

9758 

9S 

10 

9862 

9914 

9967 

r\mn 

0071 

2 

920123 

0176 

0228 

0280 

0332 

0384 

0436 

0489 

0541 

UU/  1 

0593 

3 

0645 

0697 

0749 

0801 

08 

33 

0906 

0958 

1010 

1062 

1114 

4 

1166 

1218 

1270 

1322 

1374 

1426 

1478 

1530 

1582 

1634 

52 

5 

1686 

1738 

1790 

1842 

18 

94 

1946  1998 

2050 

2102 

2154 

6 

2206 

2258 

2310 

2362 

24 

14 

2466 

2518 

2570 

2622 

2674 

7 

2725 

2777 

2829 

2881 

2933 

2985 

3037 

3089 

3140 

3192 

8 

3244 

3296 

3348 

3399 

3451 

3503 

3555 

3607 

3658 

3710 

9 

3762 

3814 

3865 

3917 

3969 

4021 

4072 

4124 

4176 

4228 

840 

4279 

4331 

4383 

4434 

4486 

4538 

4589 

4641 

4693 

4744 

1 

4796 

4848 

4899 

4951 

60 

13 

5054 

5106 

5157 

5209 

5261 

2 

5312 

5364 

5415 

5467 

5518 

5570 

5621 

5673 

5725 

5776 

3 

5828 

5879 

5931 

5982 

60 

J4 

6085 

6137 

6188 

6240 

6291 

4 

6342 

6394 

6445 

6497 

6548 

6600 

6651 

6702 

6754 

6805 

5 

6857 

6908 

6959 

7011 

70 

52 

7114 

7165 

7216 

7268 

7319 

6 

7370 

7422 

7473 

7524 

75 

76 

7627 

7678 

7730 

7781 

7832 

7 

7883 

7935 

7986 

8037 

8088 

8140 

8191 

8242 

8293 

8345 

8 

8396 

8447 

8498 

8549 

861 

11 

8652 

8703 

8754 

8805 

8857 

9 

8908 

.8959 

9010 

9061 

9112 

9163 

9215 

9266 

9317 

9368 

850 

9419 

9930 

9470 
9981 

9521 

9572 

9623 

9674 

9725 

9776 

9827 

9879 

51 

0032 

0083 

0134 

0185 

0236 

0287 

0338 

0389 

2 

930440 

0491 

0542 

0592 

0643 

0694 

0745 

0796 

0847 

0898 

3 

0949 

1000 

1051 

1102 

1153 

1204 

1254 

1305 

1356 

1407 

4 

1458 

1509 

1560 

1610 

1661 

1712 

1763 

1814 

1865 

1915 

PROPORTIONAL  PARTS. 

Diff. 

1 

2 

3      4 

5      6 

789 

53 

5.3 

10.6 

15.9    21.2 

26.5    31.8 

37.  1    42.  4    47.  7 

52 

5.2 

10.4 

15.  6    20.  8 

26.  0    31.  2 

36.4    41.6    46.8 

51 

5.1 

10.2 

15.  3    20.  4 

25.  5    30.  6 

35.7    40.8    45.9 

50 

5.0 

10.0 

15.0    20.0 

25.  0    30.  0 

35.  0    40.  0    45.  0 

194 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  855  L.  931.]                                    [No.  899  L.  954. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

855 

9319GG 

2017 

2068 

2118 

2169 

2220 

2271 

2322 

2372 

2423 

6 

2474 

2524 

2575 

2626 

2677 

2727 

2778 

2829 

2879 

2930 

7 

2981 

3031 

3082 

3133 

3183 

3234 

3285 

3335 

3386 

3437 

8 

3487 

3538 

3589 

3639 

3690 

3740 

3791 

3841 

3892 

3943 

9 

3993 

4044 

4094 

4145 

4195 

4246 

4296 

4347 

4397 

4448 

SCO 

4498 

4549 

4599 

4650 

4700 

4751 

4801 

4852 

4902 

4953 

1 

5003 

5054 

5104 

5154 

5205 

5255 

5306 

5356 

5406 

5457 

2 

5507 

5558 

5608 

5658 

5709 

5759 

5809 

5860 

5910 

5960 

3 

6011 

6061 

6111 

6162 

6212 

6262 

6313 

6363 

6413 

6463 

4 

G514 

6564 

6614 

6665 

6715 

6765 

6815 

6865 

6916 

6966 

5 

7016 

7066 

7116 

7167 

7217 

7267 

7317 

7367 

7418 

7468 

6 

7518 

7568 

7618 

7668 

7718 

7769 

7819 

7869 

7919 

7969 

7 

8019 

8069 

8119 

8169 

8219 

8269 

8320 

8370 

8420 

8470 

50 

8 

8520 

8570 

8620 

8670 

8720 

8770 

8820 

8870 

8920 

8970 

9 

9020 

9070 

9120 

9170 

9220 

9270 

9320 

9369 

9419 

9469 

870 

9519 

9569 

9619 

9669 

9719 

9769 

9819 

9869 

9918 

9968 

1 

940018 

0068 

0118 

0168 

0218 

0267 

0317 

0367 

0417 

0467 

2 

0516 

0566 

0616 

0666 

0716 

0765 

0815 

0865 

0915 

0964 

3 

1014 

1064 

1114 

1163 

1213 

1263 

1313 

1362 

1412 

1462 

4 

1511 

1561 

1611 

1660 

1710 

1760 

1809 

1859 

1909 

1958 

5 

2008 

2058 

2107 

2157 

2207 

2256 

2306 

2355 

2405 

2455 

6 

2504 

2554 

2603 

2653 

2702 

2752 

2801 

2851 

2901 

2950 

7 

3000 

3049 

3099 

3148 

3198 

3247 

3297 

3346 

3396 

3445 

8 

3495 

3544 

3593 

3643 

3692 

3742 

3791 

3841 

3890 

3939 

9 

3989 

4038 

4088 

4137 

4186 

4236 

4285 

4335 

4384 

4433 

880 

4483 

4532 

4581 

4631 

4680 

4729 

4779 

4828 

4877 

4927 

1 

4976 

5025 

5074 

5124 

5173 

5222 

5272 

5321 

5370 

5419 

2 

5469 

5518 

5567 

5616 

5665 

5715 

5764 

5813 

5862 

5912 

3 

5961 

6010 

6059 

6108 

6157 

6207 

6256 

6305 

6354 

6403 

4 

6452 

6501 

6551 

6600 

6649 

6698 

6747 

6796 

6845 

6894 

5 

6943 

6992 

7041 

7090 

7139 

7189 

7238 

7287 

7336 

7385 

6 

7434 

7483 

7532 

7581 

7630 

7679 

7728 

7777 

7826 

7875 

49 

7 

7924 

7973 

8022 

8070 

8119 

8168 

8217 

8266 

8315 

8364 

8 

8413 

8462 

8511 

8560 

8608 

8657 

8706 

8755 

8804 

8853 

9 

8902 

8951 

8999 

9048 

9097 

9146 

9195 

9244 

9292 

9341 

890 
1 

9390 

9878 

9439 
9926 

9488 
9975 

9536 

9585 

9634 

9683 

9731 

9780 

9829 

0024 

0073 

0121 

0170 

0219 

0267 

0316 

2 

950365 

0414 

0462 

0511 

0560 

0608 

0657 

0706 

0754 

0803 

3 

0851 

0900 

0949 

0997 

1046 

1095 

1143 

1192 

1240 

1289 

4 

1338 

1386 

1435 

1483 

1532 

1580 

1629 

1677 

1726 

1775 

5 

1823 

1872 

1920 

1969 

2017 

2066 

2114 

2163 

2211 

2260 

6 

2.308 

2356 

2405 

2453 

2502 

2550 

2599 

2647 

2696 

2744 

7 

2792 

2841 

2889 

2938 

2986 

3034 

3083 

3131 

3180 

3228 

8 

3276 

3325 

3373 

3421 

3470 

3518 

3566 

3615 

3663 

3711 

9 

3760 

3808 

3856 

3905 

3953 

4001 

4049 

4098 

4146 

4194 

PROPORTIONAL  PARTS. 

Difl. 

1 

2345 

6 

789 

51 

5.1 

10.2    15.3    20.4    25.5 

30.6 

35.  7    40.  8    45.  9 

50 

5.0 

10.0    15.0    20.0    25.0 

30.0 

35.  0    40.  0    45.  0 

49 

4.9 

9.8    14.7    19.6    24.5 

29.4 

34.  3    39.  2    44.  1 

48 

4.8 

9.6    14.4    19.2    24.0 

28.8 

33.  6    38.  4    43.  2 

195 


TABLE  10.— LOGARITHMS  OF  NUMBKKS. 


No.  900  L.  954.]                                    [No.  944  L.  975. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

900 

954243 

4291 

4339 

4387 

4435 

4484 

4532 

4580 

4628 

4677 

1 

4725 

4773 

4821 

4869 

4918 

4966 

5014 

5062 

5110 

5158 

2 

5207 

5255 

5303 

5351 

5399 

5447 

5495 

5543 

5592 

5640 

3 

5688 

5736 

5784 

5832 

5880 

5928 

5976 

6024 

6072 

6120 

4 

6168 

6216 

6265 

6313 

6361 

6409 

6457 

6505 

6553 

6601 

5 

6649 

6697 

6745 

6793 

6840 

6888 

6936 

6984 

7032 

7080 

48 

6 

7128 

7176 

7224 

7272 

7320 

7368 

7416 

7464 

7512 

7559 

7 

7607 

7655 

7703 

7751 

7799 

7847 

7894 

7942 

7990 

8038 

8 

8086 

8134 

8181 

8229 

8277 

8325 

8373 

8421 

8468 

8516 

9 

8564 

8612 

8659 

8707 

8755 

8803 

8850 

8898 

8946 

8994 

910 

9041 

90S9 

9137 

9185 

9232 

9280 

9328 

9375 

9423 

9471 

1 

2 

9518 
9995 

9566 

9614 

9661 

9709 

9757 

9804 

9852 

9900 

9947 

0042 

OOQfl 

ni  7ft 

ni  cc 

QOQQ 

02Xft 

nooc 

8376 

0.193 

3 

960471 

0518 

uuyu 
0566 

Uloo 

0613 

UloO 

0661 

U*Ow 

0709 

UioU 

0756 

Uo^o 

0804 

0851 

U-iZo 

0899 

4 

0946 

0994 

1041 

1089 

1136 

1184 

1231 

1279 

1326 

1374 

5 

1421 

1469 

1516 

1563 

1611 

1658 

1706 

1753 

1801 

1848 

6 

1895 

1943 

1990 

2038 

2085 

2132 

2180 

2227 

2275 

2322 

7 

2369 

2417 

2464 

2511 

2559 

2606 

2653 

2701 

2748 

2795 

8 

2843 

2890 

2937 

2985 

3032 

3079 

3126 

3174 

3221 

3268 

9 

3316 

3363 

3410 

3457 

3504 

3552 

3599 

3640 

3693 

3741 

920 

3788 

3835 

3882 

3929 

3977 

4024 

4071 

4118 

4165 

4212 

1 

4260 

4307 

4354 

4401 

4448 

4495 

4542 

4590 

4637 

4684 

2 

4731 

4778 

4825 

4872 

4919 

4966 

5013 

5061 

5108 

5155 

3 

5202 

5249 

5296 

5343 

5390 

5437 

5484 

5531 

5578 

5625 

4 

5672 

5719 

5766 

5813 

5860 

5907 

5954 

6001 

6048 

6095 

47 

5 

6142 

6189 

6236 

6283 

6329 

6376 

6423 

6470 

6517 

6564 

6 

6611 

6658 

6705 

6752 

6799 

6845 

6892 

6939 

6986 

7033 

7 

7080 

7127 

7173 

7220 

7267 

7314 

7361 

7408 

7454 

7501 

8 

7548 

7595 

7642 

7688 

7735 

7782 

7829 

7875 

7922 

7969 

9 

8016 

8062 

8109 

8156 

8203 

8249 

8296 

8343 

8390 

8436 

930 

8483 

8530 

8576 

8623 

8670 

8716 

8763 

8810 

8856 

8903 

1 

8950 

8996 

9043 

9090 

9136 

9183 

9229 

9276 

9323 

9369 

2 

9416 

QOC9 

9463 

QQ9W 

9509 
qqyc 

9556 

9602 

9649 

9695 

9742 

9789 

9835 

yoo.£ 

yy^o 

yy  *  o 

nn9i 

fW\fi 

ni  i  A 

ni  AI 

0207 

0254 

0300 

4 

970347 

0393 

0440 

UU^l 

0486 

UUDo 

0533 

UJ.14 

0579 

U101 

0626 

0672 

0719 

0765 

5 

0812 

0858 

0904 

0951 

0997 

1044 

1090 

1137 

1183 

1229 

6 

1276 

1322 

1369 

1415 

1461 

1508 

1554 

1601 

1647 

1693 

7 

1740 

1786 

1832 

1879 

1925 

1971 

2018 

2064 

2110 

2157 

8 

2203 

2249 

2295 

2342 

2388 

2434 

2481 

2527 

2573 

2619 

9 

2666 

2712 

2758 

2804 

2851 

2897 

2943 

2989 

3035 

3082 

940 

3128 

3174 

3220 

3266 

3313 

3359 

3405 

3451 

3497 

3543 

1 

3590 

3636 

3682 

3728 

3774 

3820 

3866 

3913 

3959 

4005 

2 

4051 

4097 

4143 

4189 

4235 

4281 

4327 

4374 

4420 

4466 

3 

4512 

4558 

4604 

4650 

4696 

4742 

4788 

4834 

4880 

4926 

4 

4972 

5018 

5064 

5110 

5156 

5202 

5248 

5294 

5340 

5386 

46 

PROPORTIONAL  PARTS. 

Diff. 

1 

23456 

789 

47 

4.7 

9.4    14.1    18.8    23.5    28.2 

32.  9    37.  6    42.  3 

46 

4.6 

9.2    13.8    18.4    23.0    27.6 

32.2    36.8    41.4 

196 


TABLE  lO.-LOGARITHMS  OF  NUMBERS. 


No.  945  L.  975.] 

INo.  989  L.  995. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

945 

975432 

5478 

5524 

5570 

5616 

5662 

5707 

5753 

5799 

5845 

6 

5891 

5937 

5983 

6029 

6075 

6121 

6167 

6212 

6258 

6304 

7 

6350 

6390 

6442 

6488 

65, 

53 

6579 

6625 

6671 

6717 

6763 

8 

6808 

6854 

6900 

6946 

69< 

)2 

7037 

7083 

7129 

7175 

7220 

9 

7266 

7312 

7358 

7403 

7449 

7495 

7541 

7586 

7632 

7678 

950 

7724 

7769 

7815 

7861 

7906 

7952 

7998 

8043 

8089 

8135 

1 

8181 

8226 

8272 

8317 

83 

3 

8409 

8454 

8500 

8546 

8591 

2 

8637 

8683 

8728 

8774 

88 

L9 

8865 

8911 

8956 

9002 

9047 

3 

9093 

9138 

9184 

9230 

9275 

9321 

9366 

9412 

9457 

9503 

4 

9548 

9594 

9639 

9685 

9730 

9776 

9821 

9867 

9912 

9958 

5 

980003 

0049 

0094 

0140 

0185 

0231 

0276 

0322 

0367 

0412 

6 

0458 

0503 

0549 

0594 

0640 

0685 

0730 

0776 

0821 

0867 

7 

0912 

0957 

1003 

1048 

10< 

tt 

1139 

1184 

1229 

1275 

1320 

8 

1366 

1411 

1456 

1501 

1547 

1592 

1637 

1683 

1728 

1773 

9 

1819 

1864 

1909 

1954 

2000 

2045 

2090 

2135 

2181 

2226 

960 

2271 

2316 

2362 

2407 

2452 

2497 

2543 

2588 

2633 

2678 

1 

2723 

2769 

2814 

2859 

2904 

2949 

2994 

3040 

3885 

3130 

2 

3175 

3220 

3265 

3310 

33, 

56 

3401 

3446 

3491 

3536 

3581 

3 

3626 

3671 

3716 

3762 

3807 

3852 

3897 

3942 

3987 

4032 

4 

4077 

4122 

4167 

4212 

42 

37 

4302 

4347 

4392 

4437 

4482 

5 

4527 

4572 

4617 

4662 

4707 

4752 

4797 

4842 

4887 

4932 

45 

6 

4977 

5022 

5067 

5112 

51 

57 

5202 

5247 

5292 

5337 

5382 

7 

5426 

5471 

5516 

5561 

5606 

5651 

5696 

5741 

5786 

5830 

8 

5875 

5920 

5965 

6010 

60, 

35 

6100 

6144 

6189 

6234 

6279 

9 

6324 

6369 

6413 

6458 

6503 

6548 

6593 

6637 

6682 

6727 

970 

6772 

6817 

6861 

6906 

6951 

6996 

7040 

7085 

7130 

7175 

1 

7219 

7264 

7309 

7353 

73 

)8 

7443 

7488 

7532 

7577 

7622 

2 

7666 

7711 

7756 

7800 

7845 

7890 

7934 

7979 

8024 

8068 

3 

8113 

8157 

8202 

8247 

82- 

91 

8336 

8381 

8425 

8470 

8514 

4 

8559 

8604 

8648 

8693 

8737 

8782 

8826 

8871 

8916 

8960 

5 

9005 

9049 

9094 

9138 

91 

33 

9227 

9272 

9316 

9361 

9405 

6 

9450 

9494 

9539 

9583 

M 

28 

9672 

9717 

9761 

9806 

9850 

7 

9895 

9939 

9983 

0028 

00 

-<> 

0117 

0161 

0206 

0^0 

AOQJ 

8 

990339 

0383 

0428 

0472 

0516 

0561 

0605 

0650 

u^ou 
0694 

uzy4 
0738 

9 

0783 

0827 

0871 

0916 

0960 

1004 

1049 

1093 

1137 

1182 

980 

1226 

1270 

1315 

1359 

1403 

1448 

1492 

1536 

1580 

1625 

1 

1669 

1713 

1758 

1802 

18 

16 

1890 

1935 

1979 

2023 

2067 

2 

2111 

2156 

2200 

2244 

22 

ss 

2333 

2377 

2421 

2465 

2509 

3 

2554 

2598 

2642 

2686 

2730 

2774 

2819 

2863 

2907 

2951 

4 

2995 

3039 

3083 

3127 

31 

72 

3216 

3260 

3304 

3348 

3392 

5 

3436 

3480 

3524 

3568 

3613 

3657 

3701 

3745 

3789 

3833 

6 

3877 

3921 

3965 

4009 

40 

53 

4097 

4141 

4185 

4229 

4273 

7 

4317 

4361 

4405 

4449 

44 

« 

4537 

4581 

4625 

4669 

4713 

44 

8 

4757 

4801 

4845 

4889 

4933 

4977 

5021 

5065 

5108 

5152 

9 

5196 

5240 

5284 

5328 

5372 

5416 

5460 

5504 

5547 

5591 

PROPORTIONAL  PARTS. 

Diff. 

1 

234 

5 

6 

.789 

46 

4.6 

9.2    13.8    18.4 

23.0 

27.6 

32.2    36.8    41.4 

45 

4.5 

9.0    13.5    18.0 

22.5 

27.0 

31.5    36.0    40.5 

44 

4.4 

8.  8    13.  2    17.  6 

22.0 

26.4 

30.  8    35.  2    39.  6 

43 

4.3 

8.  6    12.  9    17.  2 

21.5 

25.8 

30.  1    34.  4    38.  7 

197 


TABLE   10.— LOGARITHMS  OF  NUMBERS. 


No.  990  L.  995.]                                      [No.  999  L.  999. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Diff. 

990 

995635 

5679 

5723 

5767 

5811 

5854 

5898 

5942 

5986 

6030 

1 

6074 

6117 

6161 

6205 

6249 

6293 

6337 

6380 

6424 

6468 

44 

2 

6512 

6555 

6599 

6643 

6687 

6731 

6774 

6818 

6862 

6906 

3 

6949 

6993 

7037 

7080 

7124 

7168 

7212 

7255 

7299 

7343 

4 

7386 

7430 

7474 

7517 

7561 

7605 

7648 

7692 

7736 

7779 

5 

7823 

7867 

7910 

7954 

7998 

8041 

8085 

8129 

8172 

8216 

6 

8259 

8303 

8347 

8390 

8434 

8477 

8521 

8564 

8608 

8652 

7 

8695 

8739 

8782 

8826 

8869 

8913 

8956 

9000 

9043 

9087 

8 

9131 

9174 

9218 

9261 

9305 

9348 

9392 

9435 

9479 

9522 

9 

9565 

9609 

9652 

9696 

9739 

9783 

9826 

9870 

9913 

9957 

43 

198 


TABLE  ll.-CONVERGENCY    OP  MERIDIANS,  SIX  MILES  LONG  AND  SIX 
MILES  APART,  AND   DIFFERENCES  OF   LATITUDE  AND  LONGITUDE. 


Lat. 

Convergency. 

Difference  of  longitude 
per  range. 

Difference  of  latitude 
for— 

On  the 
parallel. 

Angle. 

In  arc. 

In  time. 

Imi. 

ITp. 

0 

Lks. 

i     n 

/       n 

Seconds. 

25 

33.9 

2    25 

5    44.34 

22.96 

26 

27 

35.4 
37.0 

2    32 
2    39 

5    47.  20 
5    50.22 

23.15 
23.35 

0.871 

5.229 

28 

38.6 

2    46 

5    53.40 

23.56 

29 

40.2 

2    53 

5    56.74 

23.78 

30 

41.9 

3      0 

6      0.26 

24.02 

31 

43.6 

3      7 

6      3.97 

24.26 

32 

45.4 

3    15 

6      7.87 

24.52 

0.871 

5.225 

33 

47.2 

3    23 

6    11.  96 

24.80 

34 

49.1 

3    30 

6    16.26 

25.08 

35 

50.9 

3    38 

6    20.78 

25.39 

36 

52.7 

3    46 

6    25.53 

25.70 

37 

54.7 

3    55 

6    30.52 

26.03 

0.870 

5.221 

38 

56.8 

4      4 

6    35.76 

26.38 

39 

58.8. 

4    13 

6    41.27 

26.75 

40 

60.9 

4    22 

6    47.06 

27.14 

41 

63.1 

4    31 

6    53.15 

27.54 

42 

65.4 

4    41 

6    59.56 

27.97 

0.869 

5.216 

43 

67.7 

4    51 

7      6.29 

28.42 

44 

70.1 

5      1 

7     13.  39 

28.89 

45 

72.6 

5     12 

7    20.86 

29.39 

46 

75.2 

5    23 

7    28.74 

29.92 

47 

77.8 

5    34 

7    37.04 

30.47 

0.869 

5.211 

48 

80.6 

5    46 

7    45.80 

31.05 

49 

83.5 

5    59 

7    55.05 

31.67 

50 

86.4 

6    12 

8      4.83 

32.32 

51 

89.6 

6    25 

8    15.17 

33.  03 

52 

92.8 

6    39 

8    26.13 

33.74 

0.868 

5.207 

53 

96.2 

6    54 

8    37.75 

34.52 

54 

99.8 

7      9 

8    50.07 

35.34 

55 

103.5 

7    25 

9      3.18 

36.22 

56 

107.5 

7    42 

9    17.  12 

37.14 

57 

111.6 

8      0 

9    31.97 

38.13 

0.867 

5.202 

58 

116.0 

8    19 

9    47.83 

39.19 

59 

120.6 

8    38 

10      4.78 

40.32 

60 

125.5 

8    59 

10    22.94 

41.52 

61 

130.8 

9    22 

10    42.42 

42.83 

62 

136.3 

9    46 

11      3.  38 

44.22 

0.866 

5.198 

63 

142.2 

10    11 

11    25.97 

45.73 

64 

148.6 

10    38 

11    50.37 

47.  36       . 

65 

155.0 

11      8 

12    16.  82 

49.12 

66 

162.8 

11    39 

12    45.55 

51.04 

67 

170.7 

12    13 

13    16.  88 

53.  12 

0.866 

5.195 

68 

179.3 

12    51 

13    51.15 

55.41 

69 

188.7 

13    31 

14    28.77 

57.92 

70 

199.1 

14    15 

15     10.  26 

60.68 

0.866 

5.193 

199 


TABLE   12.— AZIMUTHS  OP  THE  TANGENT  TO  THE   PARALLEL. 


Lat. 

Imi. 

2  mi. 

3  mi. 

4  mi. 

5  mi. 

6  mi. 

25 

89  59.6 

89  59.2 

89  58.8 

89  58.4 

89  58.0 

89  57.6 

26 

59.6 

59.2 

58.7 

58.3 

57.9 

57.5 

27 

59.6 

59.1 

58.7 

58.2 

57.8 

57.4 

28 

59.5 

59.1 

58.6 

58.2 

57.7 

57.2 

29 

59.5 

59.0 

58.6 

58.1 

57.6 

57.1 

30 

59.5 

59.0 

58.5 

58.0 

57.5 

57.0 

31 

59.5 

59.0 

58.4 

87.9 

57.4 

56.9 

32 

59.5 

58.9 

58.4 

57.8 

57.3 

56.8 

33 

59.4 

58.9 

58.3 

57.7 

57.2 

56.6 

34 

59.4 

58.8 

58.2 

57.7 

57.1 

56.5 

35 

59.4 

58.8 

58.2 

57.6 

57.0 

56.4 

36 

59.4 

58.7 

58.1 

57.5 

56.9 

56.  2 

37 

59.3 

58.7 

58.0 

57.4 

56.7 

56.1 

38 

59.3 

58.6 

58.0 

57.3 

56.6 

55.9 

39 

59.3 

58.6 

57.9 

57.2 

56.5 

55.8 

40 

59.3 

58.5 

57.8 

57.1 

56.4 

55.6 

41 

59.2 

58.5 

57.7 

57.0 

56.2 

55.5 

42 

59.2 

58.4 

57.7 

56.9 

56.1 

55.3 

43 

59.2 

58.4 

57.6 

56.8 

56.0 

55.2 

44 

59.2 

58.3 

57.5 

56.7 

55.8 

55.0 

45 

59.1 

58.3 

57.4 

56.5 

55.7 

54.8 

46 

59.1 

58.2 

57.3 

56.4 

55.5 

54.6 

47 

59.1 

58.1 

57.2 

56.3 

55.4 

54.4 

48 

59.0 

58.1 

57.1 

56.2 

55.2 

54.2 

49 

59.0 

58.0 

57.0 

56.0 

55.0 

54.0 

50 

59.0 

57.9 

56.9 

55.9 

54.8 

53.8 

51 

58.9 

57.0 

56.8 

55.7 

54.6 

53.6 

52 

58.9 

57.8 

56.7 

55.6 

54.5 

53.4 

53 

58.8 

57.7 

56.6 

55.4 

54.2 

53.1 

54 

58.8 

57.6 

56.4 

55.2 

54.0 

52.8 

55 

58.8 

57.5 

56.3 

55.1 

53.8 

52.6 

56 

58.7 

57.4 

56.2 

54.9 

53.6 

52.3 

57 

58.7 

57.3 

56.0 

54.7 

53.3 

52.0 

58 

58.6 

57.2 

55.8 

54.5 

53.1 

51.7 

59 

58.6 

57.1 

55.7 

54.2 

52.8 

51.4 

60 

58.5 

57.0 

55.5 

54.0 

52.5 

51.0 

61 

58.4 

56.9 

55.3 

53.8 

52.2 

50.6 

62 

58.4 

56.7 

55.1 

53.5 

51.9 

50.2 

63 

58.3 

56.6 

54.9 

53.2 

51.5 

49.8 

64 

58.2 

56.5 

54.7 

52.9 

51.1 

49.4 

65 

58.1 

56.3 

54.4 

52.6 

50.7 

48.9 

66 

58.1 

56.1 

54.2 

52.2 

50.3 

48.4 

67 

58.0 

55.9 

53.9 

51.8 

49.8 

47.8 

68 

57.9 

55.7 

53.6 

51.4 

49.3 

47.2 

69 

57.8 

55.5 

53.2 

51.0 

48.8 

46.5 

70 

89  57.6 

89  55.3 

89  52.9 

89  50.5 

89  48.1 

89  45.8 

200 


TABLE  13.— OFFSETS,  IN  LINKS,  FROM  THE  TANGENT  TO  THE  PARALLEL. 


Lat. 

& 

Imi. 

m 

mi. 

2  mi. 

2% 
mi. 

3  mi. 

3H 
mi. 

4ml. 

4^ 
mi. 

5  mi. 

5K 
mi. 

6  mi. 

0 

25 

0 

0 

1 

2 

3 

4 

6 

8 

10 

12 

14 

17 

26 

0 

0 

1 

2 

3 

4 

6 

8 

10 

12 

15 

18 

27 

0 

1 

1 

2 

3 

5 

6 

8 

10 

13 

16 

18 

28 

0 

1 

1 

2 

3 

5 

7 

9 

11 

13 

16 

19 

29 

0 

1 

1 

2 

3 

5 

7 

9 

11 

14 

17 

20 

30 

0 

1 

1 

2 

4 

5 

7 

9 

12 

15 

18 

21 

31 

0 

1 

1 

2 

4 

5 

7 

10 

12 

15 

18 

22 

32 

0 

1 

1 

3 

4 

6 

8 

10 

13 

16 

19 

23 

33 

0 

1 

1 

3 

4 

6 

8 

10 

13 

16 

20 

24 

34 

0 

1 

2 

3 

4 

6 

8 

11 

14 

17 

21 

25 

35 

0 

1 

2 

3 

4 

6 

8 

11 

14 

18 

21 

25 

36 

0 

1 

2 

3 

5 

7 

9 

12 

15 

18 

22 

26 

37 

0 

1 

2 

3 

5 

7 

9 

12 

15 

19 

23 

27 

38 

0 

1 

2 

3 

5 

7 

10 

13 

16 

20 

24 

28 

39 

0 

1 

2 

3 

5 

7 

10 

13 

17 

20 

25 

29 

40 

0 

1 

2 

3 

5 

8 

10 

14 

17 

21 

26 

30 

41 

0 

1 

2 

4 

5 

8 

11 

14 

18 

22 

27 

32 

42 

0 

1 

2 

4 

6 

8 

11 

15 

18 

23 

27 

33 

43 

0 

1 

2 

4 

6 

8 

11 

15 

19 

24 

28 

34 

44 

0 

1 

2 

4 

6 

9 

12 

16 

20 

24 

29 

35 

45 

0 

1 

2 

4 

6 

9 

12 

16 

20 

25 

30 

36 

46 

0 

1 

2 

4 

7 

9 

13 

17 

21 

26 

32 

38 

47 

0 

1 

2 

4 

7 

10 

13 

17 

22 

27 

33 

39 

48 

0 

1 

3 

4 

7 

10 

14 

18 

23 

28 

34 

40 

49 

0 

1 

3 

5 

7 

10 

14 

19 

23 

29 

35 

42 

50 

0 

1 

3 

5 

8 

11 

15 

19 

24 

30 

36 

43 

51 

0 

1 

3 

5 

8 

11 

15 

20 

25 

31 

38 

45 

52 

0 

1 

3 

5 

8 

12 

16 

21 

26 

32 

39 

46 

53 

0 

1 

3 

5 

8 

12 

16 

21 

27 

33 

40 

48 

54 

0 

1 

3 

6 

9 

12 

17 

22 

28 

35 

42 

50 

55 

0 

1 

3 

6 

9 

13 

18 

23 

29 

36 

43 

52 

56 

0 

1 

3 

6 

9 

13 

18 

24 

30 

37 

45 

54 

57 

0 

2 

3 

6 

10 

14 

19 

25 

31 

39 

47 

56 

58 

0 

2 

4 

6 

10 

14 

20 

26 

33 

40 

49 

58 

59 

0 

2 

4 

7 

10 

15 

20 

27 

34 

42 

51 

60 

60 

0 

2 

4 

7 

11 

16 

21 

28 

35  • 

44 

53 

63 

61 

0 

2 

4 

7 

11 

16 

22 

29 

37 

45 

55 

65 

62 

0 

2 

4 

8 

12 

17 

23 

30 

38 

47 

57 

68 

63 

0 

2 

4 

8 

12 

18 

24 

32 

40 

49 

60 

71 

64 

1 

2 

5 

8 

13 

19 

25 

33 

42 

52 

62 

74 

65 

1 

2 

5 

9 

13 

19 

26 

34 

44 

54 

65 

78 

66 

1 

2 

5 

9 

14 

20 

28 

36 

46 

57 

68 

81 

67 

1 

2 

5 

9 

15 

21 

29 

38 

48 

59 

72 

85 

68 

1 

2 

6 

10 

16 

22 

30 

40 

50 

62 

75 

90 

69 

1 

3 

6 

10 

16 

24 

32 

42 

53 

66 

79 

94 

70 

1 

3 

6 

11 

17 

25 

34 

44 

56 

69 

84 

100 

201 


TABLE  14.— AZIMUTHS  OF  THE  SECANT. 


Lat. 

Omi. 

Imi. 

2  mi. 

3  mi. 

Deflection 
angle  6  mi. 

0 

0                / 

O                / 

0                 1 

/         n 

25 

89    58.8 

89    59.2 

89    59.6 

90° 

2    25 

26 

58.7 

59.2 

59.6 

E.  orW. 

2    32 

27 

58.7 

59.1 

59.6 

2    39 

28 

58.6 

59.1 

59.5 

i     (i 

2    46 

29 

58.6 

59.0 

59.5 

t     « 

2    53 

30 

58.5 

59.0 

59.5 

i     a 

3      0 

31 

58.4 

59.0 

59.5 

i     n 

3      7 

32 

58.4 

58.9 

59.5 

«     « 

3    15 

33 

58.3 

58.9 

59.4 

i     tt 

3    23 

34 

58.2 

58.8 

59.4 

<     u 

3    30 

35 

58.2 

58.8 

59.4 

,        u 

3    38 

36 

58.1 

58.7 

59.4 

I      11 

3    46 

37 

58.0 

58.7 

59.3 

I       11 

3    55 

38 

58.0 

58.6 

59.3 

I     11 

4      4 

39 

57.9 

58.6 

59.3 

I       11 

4    13 

40 

57.8 

58.5 

59.3 

<    It 

4    22 

41 

57.7 

58.5 

59.2 

(      II 

4    31 

42 

57.7 

58.4 

59.2 

t      It 

4    41 

43 

57.6 

58.4 

59.2 

1       It 

4    51 

44 

57.5 

02     58-  3 

59.2 

I     It 

5      1 

45 

57.4 

58.3 

59.1 

1       tt 

5    12 

46 

57.3 

58.2 

59.1 

1       It 

5    23 

47 

57.2 

58.1 

59.1 

I       It 

5    34 

48 

57.1 

58.1 

59.0 

t     It 

5    46 

49 

57.0 

58.0 

59.0 

1       It 

5    59 

50 

56.9 

57.9 

59.0 

1    It 

6    12 

51 

56.8 

57.9 

58.9 

1       It 

6    25 

52 

56.7 

57.8 

58.9 

1       If 

6    39 

53 

56.6 

57.7 

58.8 

1       It 

6    54 

54 

56.4 

57.6 

,1        58.8 

I       11 

7      9 

55 

56.3 

57.5 

58.8 

I       11 

7    25 

56 

56.2 

57.4 

58.7 

t       It 

7    42 

"57 

56.0 

57.3 

58.7 

I       It 

8      0 

58 

55.8 

57.2 

58.6 

I     It 

8    19 

59 

55.7 

57.1 

58.6 

1     11 

8    38 

60 

55.5 

57.0 

58.5 

1       It 

8    59 

61 

55.3 

56.9 

58.4 

1      It 

9    22 

62 

55.1 

56.7 

58.4 

I       It 

9    46 

63 

54.9 

56.6 

58.3 

I       It 

10    11 

64 

54.7 

56.5 

58.2 

1      It 

10    38 

65 

54.4 

56.3 

58.1 

1    It 

11      8 

66 

54.2 

56.1 

58.1 

1      It 

11    39 

67 

53.9 

55.9 

58.0 

1       It 

12    13 

68 

53.6 

55.7 

57.9 

1       11 

12    51 

69 

53.2 

55.5 

57.8 

1     ft 

13    31 

70 

89    52.9 

89    55.3 

89    57.6 

It     It     It 

14    15 

6  mi. 

5  mi. 

4  mi. 

3  mi. 

TABLE  15.-OFFSETS,  IN  LINKS,  FHOM  THE  SECANT  TO  THE  PARALLEL. 


Lat. 

0  mi. 

J-2  mi. 

Imi. 

li^mi. 

2  mi. 

2}^  mi. 

3  mi. 

0 

25 

2N. 

IN. 

0 

IS. 

IS. 

as! 

28. 

26 

2 

1 

0 

1 

1 

2 

2 

27 

3 

1 

0 

1 

2 

2 

2 

28 

3 

1 

0 

1 

2 

2 

2 

29 

3 

1 

0 

1 

2 

2 

2 

30 

3 

1 

0 

1 

2 

2 

2 

31 

3 

1 

0 

1 

2 

2 

2 

32 

3 

1 

0 

1 

2 

2 

3 

33 

3 

1 

0 

1 

2 

2 

3 

34 

3 

2 

0 

1 

2 

3 

3 

35 

4 

2 

0 

1 

2 

3 

3 

36 

4 

2 

0 

1 

2 

3 

3 

37 

4 

2 

0 

1 

2 

3 

3 

38 

4 

2 

0 

1 

2 

3 

3 

39 

4 

2 

0 

1 

2 

3 

3 

40 

4 

2 

0 

I 

3 

3 

3 

41 

4 

2 

0 

2 

3 

3 

4 

42 

5 

2 

0 

2 

3 

3 

4 

43 

5 

2 

0 

2 

3 

4 

4 

44 

5 

2 

0 

2 

3 

4 

•   4 

45 

5 

2 

0 

2 

3 

4 

4 

46 

5 

2 

0 

2 

3 

4 

4 

47 

5 

2 

0 

2 

3 

4 

4 

48 

6 

3 

0 

2 

3 

4 

4 

49 

6 

3 

0 

2 

3 

4 

5 

50 

6 

3 

0 

2 

4 

4 

5 

51 

6 

3 

0 

2 

4 

5 

5 

52 

6 

3 

0 

2 

4 

5 

5 

53 

7 

3 

0 

2 

4 

5 

5 

54 

7 

3 

0 

2  ' 

4 

5 

6 

55 

7 

3 

0 

3 

4 

5 

6 

56 

7 

3 

0 

3 

4 

6 

6 

57 

8 

3 

0 

3 

5 

6 

6 

58 

8 

4 

0 

3 

5 

6 

6 

59 

8 

4 

0 

3 

5 

6 

7 

60 

9 

4 

0 

3 

5 

7 

7 

61 

9 

4 

0 

3 

5 

7 

7 

62 

9 

4 

0 

3 

6 

7 

8 

63 

10 

4 

0 

3 

6 

7 

8 

64 

10 

5 

0 

4 

6 

8 

8 

65 

11 

5 

0 

4 

6 

8 

9 

66 

11 

5 

0 

4 

7 

8 

9 

67 

12 

5 

0 

4 

7 

9 

9 

68 

12 

6 

0 

4 

7 

9 

10 

69 

13 

6 

0 

5 

8 

10 

10 

70 

14  N. 

6N. 

0 

5S. 

88. 

10  S. 

11  S. 

6  mi. 

5^  mi. 

5  mi. 

4H  mi. 

4  mi. 

3^mi. 

3  mi. 

203 


TABLE  16.-LENGTHS  OP  ARCS  OF  THE  EARTH'S  SURFACE. 


Lengths  of  degrees  of  the  parallel. 

Lengths  of  degrees  of 
the  meridian. 

Lat. 

Statute 
miles. 

Lat. 

Statute 
miles. 

Lat. 

Statute 
miles. 

25    0 

62.729 

0            / 

47  30 

46.  818 

25 

68.829 

30 

62.473 

48    0 

46.  372 

26 

68.839 

26    0 

62.  212 

30 

45.  922 

27 

68.848 

30 

61.946 

49    0 

45.  469 

28 

68.858 

27    0 

61.  676 

30 

45.  012 

29 

68.869 

30 

61.401 

50    0 

44.552 

30 

68.879 

28    0 

61.  122 

30 

44.088 

31 

68.  890 

30 

60.837 

51    0 

43.  621 

32 

68.901 

29    0 

60.548 

30 

43.  150 

33 

68.  912 

30 

60.254 

52    0 

42.  676 

34 

68.923 

30    0 

59.  956 

30 

42.  199 

35 

68.935 

30 

59.653 

53    0 

41.719 

36 

68.946 

31    0 

59.345 

30 

41.235 

37 

68.958 

30 

59.033 

54    0 

40.  749 

38 

68.969 

32    0 

58.  716 

30 

40.  259 

39 

68.  981 

30- 

58.  396 

55    0 

39.  766 

40 

68.993 

33    0 

58.071 

30 

39.  270 

41 

69.006 

30 

57.  741 

56    0 

38.  771 

42 

69.  018 

34    0 

57.407 

30 

38.  269 

43 

69.  030 

30 

57.068 

57    0 

37.764 

44 

69.042 

35    0 

56.725 

30 

37.256 

45 

69.054 

30 

56.  378 

58    0 

36.745 

46 

69.066 

36    0 

56.027 

30 

36.232 

47 

69.  079 

30 

55.671 

59    0 

35.716 

48 

69.091 

37    0 

55.311 

30 

35.196 

49 

69.  103 

30 

54.  947 

60    0 

34.  674 

50 

69.  115 

38    0 

54.579 

30 

34.  150 

51 

69.  127 

30 

54.206 

61    0 

33.623 

52 

69.  139 

39    0 

53.829 

30 

33.093 

53 

69.  151 

30 

53.  448 

62    0 

32.560 

54 

69.163 

40    0 

53.063 

30 

32.025 

55 

69.  175 

30 

52.  674 

63    0 

31.  488 

56 

69.  186 

41    0 

52.  281 

30 

30.  948 

57 

69.  197 

30 

51.884 

64    0 

30.  406 

58 

69.209 

42    0 

51.483 

30 

29.862 

59 

69.  220 

30 

51.078 

65    0 

29.315 

60 

69.  230 

43    0 

50.669 

30 

28.  766 

61 

69.  241 

30 

50.257 

66    0 

28.  215 

62 

69.251 

44    0 

49.840 

30 

.    27.661 

63 

69.  2fil 

30 

49.  419 

67    0 

27.106 

64 

69.  271 

45    0 

48.995 

30 

26.548 

65 

69.  281 

30 

48.  567 

68    0 

25.988 

66 

69.  290 

46    0 

48.  136 

30 

25.426 

67 

69.299 

30 

47.700 

69    0 

24.  862 

68 

69.  308 

47    0 

47.  261 

30 

24.297 

69 

69.  316 

47  30 

46.  818 

70    0 

23.729 

70 

69.324 

The  lengths  of  degrees  of  the  meridian  are  tabulated  to  correspond  to  the  length  of 
the  arc  of  which  the  tabulated  latitude  is  the  middle,  thus  the  quantity  68.993,  oppo- 
site latitude  40°  0'  is  the  number  of  miles  between  latitude  39°  30'  and  40°  307. 

The  above  table  is  an  abridgment  ol  a  table  published  by  the  U.  S.  Coast  and 
Geodetic  Survey  based  on  the  values  of  the  Clarke  spheroid. 

204 


TABLE   17. -APPARENT  TIME   OP  SUNSET  FOR   N.    DECLINATIONS,   OB 
SUNRISE  FOR  S.  DECLINATIONS. 


Latitude. 

Sun's 
Decl. 

25° 

30° 

35° 

40° 

45° 

0      , 

ft   TO 

h   m 

ft  m 

ft  m 

ft  m 

0   0 

6   0 

6   0 

6   0 

6   0 

6   0 

1 

6   2 

6   2 

6   3 

6   3 

6   4 

2 

6   4 

6   5 

6   6 

6   7 

6   8 

3 

6   6 

6   7 

6   8 

6  10 

6  12 

4 

6   7 

6   9 

6  11 

6  13 

6  16 

5 

6   9 

6  12 

6  14 

6  17 

6  20 

6 

6  11 

6  14 

6  17 

6  20 

6  24 

7 

6  13 

6  16 

6  20 

6  24 

6  28 

8 

6  15 

6  19 

6  23 

6  27 

6  32 

9 

6  17 

6  21 

6  25 

6  31 

6  36 

10 

6  19 

6  23 

6  28 

6  34 

6  41 

11 

6  21 

6  26 

6  31 

6  38 

6  45 

12 

6  23 

6  28 

6  34 

6  41 

6  49 

13 

6  25 

6  31 

6  37 

6  45 

6  53 

14 

6  27 

6  33 

6  40 

6  48 

6  58 

15 

6  29 

6  36 

6  43 

6  52 

7   2 

16 

6  31 

6  38 

6  46 

6  56 

7   7 

17 

6  33 

6  41 

6  49 

6  59 

7  11 

18 

6  35 

6  43 

6  53 

7   3 

7  16 

19 

6  37 

6  46 

6  56 

7   7 

7  21 

20 

6  39 

6  49 

6  59 

7  11 

7  25 

21 

6  41 

6  51 

7   2 

7  15 

7  30 

22 

6  43 

6  54 

7   6 

7  19 

7  35 

23 

6  46 

6  57 

7   9 

7  23 

7  40 

23  27 

6  47 

6  58 

7  11 

7  25 

7  43 

Latitude. 

Sun's 
Decl. 

50° 

55° 

60° 

65° 

70° 

0   0 

h  m 
6   0 

h  m 
6   0 

ft  m 
6   0 

ft  m 

6   0 

ft  m 
6   0 

1 

6   5 

6   6 

6   7 

6   9 

6  11 

2 

6  10 

6  11 

6  14 

6  17 

6  22 

3 

6  14 

6  17 

6  21 

6  26 

6  33 

4 

6  19 

6  23 

6  28 

6  34 

6  44 

5 

6  24 

6  29 

6  35 

6  42 

6  56 

6 

6  29 

6  35 

6  42 

6  52 

7   7 

7 

6  34 

6  40 

6  49 

7   0 

7  19 

8 

6  39 

6  46 

6  56 

7  10 

7  31 

9 

6  44 

6  52 

7   4 

7  19 

7  43 

10 

6  49 

6  58 

7  11 

7  29 

7  56 

11 

6  54 

7   4 

7  19 

7  39 

8   9 

12 

6  59 

7  11 

7  26 

7  48 

8  23 

13 

7   4 

7  17 

7  34 

7  59 

8  37 

14 

7   9 

7  23 

7  42 

8   9 

8  53 

15 

7  14 

7  30 

7  51 

8  20 

9  10 

16 

7  20 

7  37 

7  59 

8  32 

9  28 

17 

7  25 

7  44 

8   8 

8  44 

9  48 

18 

7  31 

7  51 

8  17 

8  57 

10  13 

19 

7  37 

7  58 

8  26 

9  10 

10  44 

20 

7  43 

8   5 

8  36 

9  25 

12  00 

21 

7  49 

8  13 

8  47 

9  42 

22 

7  55 

8  21 

8  58 

10   0 

23 

8   2 

8  29 

9   9 

10  22 

23  27 

8   5 

8  33 

9  15 

10  34 

205 


TABLE  18.— CONVERSION  OF  DEGREES  TO  TIME,  AND  TIME  TO  DEGREES. 


To  reduce  degrees  to  time. 

To  reduce  time  to  degrees. 

0 

H.  M. 

0 

H.  M. 

M. 

0     / 

M. 

0     , 

' 

M.S. 

' 

M.S. 

b/i 

|| 

13   r* 

i 

t/) 

S. 

'  " 

S. 

'  " 

" 

S.  T. 

" 

S.  T. 

& 

K  3 

1 

1 

T. 

//  /// 

T. 

"  '" 

1 

0   4 

51 

3  24 

101 

6  44 

i 

15 

1 

0  15 

51 

12  45 

2 

0   8 

52 

3  28 

102 

6  48 

1H 

22y2 

2 

0  30 

52 

13  0 

3 

0  12 

53 

3  32 

103 

6  52 

2 

30 

3 

045 

53 

13  15 

4 

0  16 

54 

3  36 

104 

6  56 

2y2 

WA 

4 

1  0 

54 

13  30 

5 

0  20 

55 

3  40 

105 

7  0 

3 

45 

5 

1  15 

55 

13  45 

6 

0  24 

56 

3  44 

106 

7  4 

3^ 

52^ 

6 

1  30 

56 

14  0 

7 

0  28 

57 

3  48 

107 

7  8 

4 

60 

7 

1  45 

57 

14  15 

8 

0  32 

58 

3  52 

108 

7  12 

VA 

6iy2 

8 

2  0 

58 

14  30 

9 

0  36 

59 

3  56 

109 

7  16 

5 

75 

9 

2  15 

59 

14  45 

10 

0  40 

60 

4   0 

110 

7  20 

VA 

82^ 

10 

2  30 

60 

15  0 

11 

0  44 

61 

4   4 

115 

7  40 

6 

90 

11 

2  45 

61 

15  15 

12 

0  48 

62 

4   8 

120 

8  0 

6^ 

97^ 

12 

3  0 

62 

15  30 

13 

0  52 

63 

4  12 

125 

8  20 

7 

105 

13 

3  15 

63 

15  45 

14 

0  56 

64 

4  16 

130 

8  40 

11A 

H2J4 

14 

3  30 

64 

16  0 

15 

1   0 

65 

4  20 

135 

9  0 

8 

120 

15 

3  45 

65 

16  15 

16 

1   4 

66 

4  24 

140 

9  20 

81A 

127H 

16 

4  0 

66 

16  30 

17 

1   8 

67 

4  28 

145 

9  40 

9 

135 

17 

4  15 

67 

16  45 

18 

1  12 

68 

4  32 

150 

10  0 

9^ 

142H 

18 

4  30 

68 

17  0 

19 

1  16 

69 

4  36 

155 

10  20 

10 

150 

19 

4  45 

69 

17  15 

20 

1  20 

70 

4  40 

160 

10  40 

10# 

157^ 

20 

5  0 

70 

17  30 

21 

1  24 

71 

4  44 

165 

11  0 

11 

165 

21 

5  15 

71 

17  45 

22 

1  28 

72 

4  48 

170 

11  20 

HH 

172Ji 

22 

5  30 

72 

18  0 

23 

1  32 

73 

4  52 

175 

11  40 

12 

180 

23 

5  45 

73 

18  15 

24 

1  36 

74 

4  56 

180 

12  0 

12J4 

187^ 

24 

6  0 

74 

1830 

25 

1  40 

75 

5   0 

185 

12  20 

13 

195 

25 

6  15 

75 

18  45 

26 

1  44 

76 

5   4 

190 

12  40 

i*H 

202y2 

26 

6  30 

76 

19  0 

27 

1  48 

77 

5   8 

195 

13  0 

14 

210 

27 

6  45 

77 

19  15 

28 

1  52 

78 

5  12 

200 

13  20 

14H 

217^ 

28 

7  0 

78 

19  30 

29 

1  56 

79 

5  16 

205 

13  40 

15 

225  " 

29 

7  15 

79 

19  45 

30 

2   0 

80 

5  20 

210 

14  0 

15K 

232^ 

30 

7  30 

80 

20  0 

31 

2   4 

81 

5  24 

215 

14  20 

16 

240 

31 

7  45 

81 

20  15 

32 

2   8 

82 

5  28 

220 

14  40 

16H 

247^ 

32 

8  0 

82 

20  30 

33 

2  12 

83 

5  32 

225 

15  0 

17 

255 

33 

8  15 

83 

2045 

34 

2  16 

84 

5  36 

230 

1520 

17H 

262H 

34 

8  30 

84 

21  0 

35 

2  20 

85 

5  40 

235 

15  40 

18 

270 

35 

8  45 

85 

21  15 

36 

2  24 

86 

5  44 

240 

16  0 

18Ji 

277^ 

36 

9  0 

86 

21  30 

37 

2  28 

87 

5  48 

245 

16  20 

19 

285 

37 

9  15 

87 

21  45 

38 

2  32 

88 

5  52 

250 

16  40 

19H 

292^ 

38 

9  30 

88 

22  0 

39 

2  36 

89 

5  56 

255 

17  0 

20 

300" 

39 

9  45 

89 

22  15 

40 

2  40 

90 

6   0 

260 

17  20 

20H 

307^ 

40 

10  0 

90 

22  30 

41 

2  44 

91 

6   4 

270 

18  0 

21 

315 

41 

10  15 

91 

22  45 

42 

2  48 

92 

6   8 

280 

18  40 

211A 

322K» 

42 

10  30 

92 

23  0 

43 

2  52 

93 

6  12 

290 

19  20 

22 

330  " 

43 

10  45 

93 

23  15 

44 

2  56 

94 

6  16 

300 

20  0 

22H 

3373^ 

44 

11  0 

94 

23  30 

45 

3   0 

95 

6  20 

310 

20  40 

23 

345 

45 

11  15 

95 

23  45 

46 

3   4 

96 

6  24 

320 

21  20 

23^ 

352J^ 

46 

11  30 

96 

24  0 

47 

3   8 

97 

6  28 

330 

22  0 

24 

360 

47 

11  45 

97 

24  15 

48 

3  12 

98 

6  32 

340 

2240 

48 

12  0 

98 

24  30 

49 

3  16 

99 

6  36 

350 

23  20 

49 

12  15 

99 

24  45 

50 

3  20 

100 

6  40 

360 

24  0 

50 

12  30 

100 

25  0 

206 


TABLE  19.— SIDEREAL  CONVERSIONS. 


Longitude. 

0°  0'          2°  30'        5°  0'         7°  30'        10°  0'       12°  30'      15°  0' 

Minutes. 

Long. 

Hours.         0               10              20              30              40              50              GO 

m$t 

TO    s 

m    s 

TO    s 

m    s 

TO    s 

TO      S 

TO     S 

0 

0 

0      0 

0      2 

0      3 

0      5 

0      7 

0      8, 

0    10 

15 

1 

0    10 

0    11 

0    13 

0    15 

0    16 

0    18 

0    20 

30 

2 

0    20 

0    21 

0    23 

0    25 

0    26 

0    28 

0    30 

45 

3 

0    30 

0    31 

0    33 

0    34 

0    36 

0    38 

0    39 

60 

4 

0    39 

0    41 

0    43 

0    44 

0    46 

0    48 

0    49 

75 

5 

0    49 

0    51 

0    53 

0    54 

0    56 

0    57 

0    59 

90 

6 

0    59 

1      1 

1      2 

1      4 

1      6 

1      7 

1      9 

105 

7 

1      9 

1     11 

1     12 

1     14 

1     15 

1     17 

1    19 

120 

8 

1    19 

1    20 

1    22 

1    24 

1    25 

1    27 

1    29 

135 

9 

1    29 

1    30 

1    32 

1    34 

1    35 

1    37 

1    38 

150 

10 

1    38 

1    40 

1    42 

1    43 

1    45 

1    47 

1    48 

165 

11 

1    48 

1    50 

1    52 

1    53 

1    55 

1    56 

I    58 

180 

12 

1    58 

2      0 

2      1 

2      3 

2      5 

2      6 

2      8 

195 

13 

2      8 

2     10 

2     11 

2    13 

2     15 

2     16 

2     18 

210 

14 

2     18 

2     19 

2    21 

2    23 

2    24 

2    26 

2    28 

225 

15 

2    28 

2    29 

2    31 

2    33 

2    34 

2    36 

2    37 

240 

16 

2    37 

2    39 

2    41 

2    42 

2    44 

2    46 

2    47 

255 

17 

2    47 

2    49 

2    51 

2    52 

2    54 

2    56 

2    57 

270 

18 

2    57 

2    59 

3      0 

3      2 

3      4 

3      5 

3      7 

285 

19 

,3      7 

3      9 

3    10 

3     12 

3     14 

3    15 

3     17 

300 

20 

3     17 

3    18 

3    20 

3    22 

3    23 

3    25 

3    27 

315 

21 

3    27 

3    28 

3    30 

3    32 

3    33 

3    35 

3    37 

330 

22 

3    37 

3    38 

3    40 

3    41 

3    43 

3    45 

3    46 

345 

23 

3    46 

3    48 

3    50 

3    51 

3    53 

3    55 

3    56 

Hours. 

Sidereal  into  mean  solar  time:  To  be  subtracted  from  a  sidereal  time  interval: 
Argument  hours  and  minutes  of  sidereal  interval. 

Mean  Solar  into  sidereal  time:  To  be  added  to  a  mean  time  interval:  Argument  hours 
and  minutes  of  mean  time  interval. 

Upper  culmination  of  Polaris:  Amount  to  be  subtracted  from  the  Greenwich  mean 
time  of  upper  culmination  of  Polaris,  or  of  elongation,  to  obtain  the  local  mean  time  of 
upper  culmination,  or  of  elongation:  Argument  longitude  west  from  Greenwich. 

The  above  table  is  an  abridged  mean  of  two  tables  given  in  the  American  Ephem- 
eris  and  Nautical  Almanac  for  similar  conversions;  reductions  involving  a  refine- 
ment exceeding  0.8  seconds  must  be  made  from  the  more  elaborate  tables. 


207 


TABLE  20.-MEAN  REFRACTIONS  IN  ZENITH  DISTANCE. 

Bar.=29.6  Ins.     Temp.=50°  F. 


Apparent 
altitude. 

Refraction. 

Apparent 
altitude. 

Refraction. 

Apparent 
altitude. 

Refraction. 

7    30 

6    53 

12      0 

4    25 

o 

25 

2      3 

40 

45 

12    30 

15 

26 

1    58 

7    50 

37 

13      0 

4      5 

27 

53 

8      0 

30 

13    30 

3    56 

28 

48 

10 

22 

14      0 

47 

29 

44 

20 

15 

14    30 

39 

30 

40 

30 

8 

15      0 

32 

32 

32 

40 

6      2 

15    30 

25 

34 

25 

8    50 

5    55 

16      0 

19 

36 

19 

9      0 

49 

16    30 

13 

38 

14 

10 

43 

17      0 

7 

40 

9 

20 

38 

17    30 

3      1 

42 

4 

30 

32 

18      0 

2    56 

44 

1      0 

40 

26 

18    30 

51 

ft 

0    56 

9    50 

21 

19      0 

46 

48 

52 

10      0 

16 

19    30 

42 

50 

48 

20 

5      6 

20      0 

37 

55 

40 

10    40 

4    57 

21      0 

29 

60 

33 

11      0 

48 

22      0 

22 

65 

27 

20 

40 

23      0 

15 

70 

21 

11    40 

32 

24      0 

9 

80 

10 

12      0 

4    25 

25      0 

2      3 

90 

0      0 

SUN'S  PARALLAX  IN  ALTITUDE. 


0° 

26° 

48° 

63° 

77° 

90° 

Sun's  parallax                  

8".  9 

8" 

6" 

4" 

2" 

0" 

208 


TABLE    21.-COEFFICIENTS    TO    APPLY    TO    MEAN     REFRACTIONS    FOR 
VARIATIONS  IN  BAROMETER  AND  TEMPERATURE. 


Barome- 
ter. 

Eleva- 
tion 
above 
sea  level. 

Coeffi- 
cient. 

Barome- 
ter. 

Eleva- 
tion 
above 
sea  level. 

Coeffi- 
cient. 

Temper- 
ature 
(Fahr.). 

Coeffi- 
cient. 

Ins. 

Feet. 

Ins. 

Feet. 

• 

30.5 

-451 

1.03 

25.4 

4,535 

0.86 

-24 

1.17 

30.2 

-181 

1.02 

25.1 

4,859 

.85 

17 

1.15 

30.0 

00 

1.01 

24.8 

5,186 

.84 

-  9 

1.13 

29.9 

+  91 

1.01 

24.5 

5,518 

.83 

0 

1.11 

29.6 

366 

1.00 

24.2 

5,854 

.82 

+  8 

1.09 

29.3 

643 

.99 

23.9 

6,194 

.81 

16 

1.07 

29.0 

924 

.98 

23.6 

6,538 

.80 

25 

1.05 

28.7 

1,207 

.97 

23.3 

6,887 

.79 

35 

1.03 

28.4 

1,493 

.96 

23.0 

7,239 

.78 

40 

1.02 

28.1 

1,783 

.95 

22.7 

7,597 

.77 

45 

1.01 

27.8 

2,075 

.94 

22.4 

7,960 

.76 

50 

1.00 

27.5 

2,371 

.93 

22.1 

8,327 

.75 

55 

.99 

27.2 

2,670 

.92 

21.8 

8,700 

.74 

60 

.98 

26.9 

2,972 

.91 

21.5 

9,077 

.73 

66 

.97 

26.6 

3,277 

.90 

21.2 

9,460 

.72 

77 

.95 

26.3 

3,586 

.89 

20.9 

9,848 

.71 

88 

.93 

26.0 

3,899 

.88 

20.6 

10,242 

.70 

100 

.91 

25.7 

4,215 

.87 

20.3 

10,642 

.69 

114 

.89 

25.4 

4,535 

.86 

20.0 

11,047 

.68 

128 

.87 

flcient  for  barometric  pressure  X  coefficient  for  temperature. 

The  differences  between  the  true  and  the  tabulated  refractions  are  generally  small 
and  generally  negligible  excepting  for  the  combined  effect  of  low  apparent  altitude 
of  observation  with  high  elevation  above  sea  level  or  extremes  of  temperature. 


41479—10 14 


TABLE  22.-COEFFICIENTS  FOR  COMPUTING  ERRORS  IN  AZIMUTH  DUE 
TO  SMALL  ERRORS  IN  DECLINATION  OR  LATITUDE,  TABULATED  FOR 
1'  ERRORS. 


Lat. 

2 

Hours  from  noon. 
3                       4 

5 

6 

0 

25 

JDecl. 

2.21 

1.56 

1.27 

1.14 

1.10 

JLat. 

1.91 

1.10 

0.64 

0.30 

0.00 

JDecl. 

2.31 

1.63 

1.33 

1.20 

1.15 

30 

JLat. 

2.00 

1.15 

0.67 

0.31 

0.00 

[Decl. 

2.44 

1.73 

1.41 

1.26 

1.22 

35 

lLat. 

2.11 

1.22 

0.70 

0.33 

0.00 

fDecl. 

2.61 

1.85 

1.51 

1.35 

1.31 

40 

\ 

iLat. 

2.26 

1.31 

0.75 

0.35 

0.00 

JDecl. 

2.83 

2:00 

1.63 

1.46 

1.41 

45 

ILat. 

2.45 

1.41      • 

0.82 

0.38 

0.00 

JDecl. 

3.11 

2.20 

1.80 

1.61 

1.5G 

50 

lLat. 

2.69 

1.56 

0.90 

0.42 

0.00 

55 

JDecl. 

3.49 

2.47 

2.01 

1.80 

1.74 

ILat. 

3.02 

1.74 

1.01 

0.47 

0.00 

(Decl. 

4.00 

2.83 

2.31 

2.07 

2.00 

60 

] 

'lLat. 

3.46 

2.00 

1.15 

0.54 

0.00 

(Decl. 

4.73 

3.35 

2.73 

2.45 

2.37 

65 

I 

lLat. 

4.10 

2.37 

1.37 

0.63 

0.00 

JDecl. 

5.85 

4.13 

3.38 

3.03 

2.92 

70 

lLat. 

5.06 

..    2.92        i 

1.69 

0.78 

0.00 

The  coefficients  for  noon  become  infinitely  large. 
Direction  of  errors  in  azimuth  from  true  south: 

To  the  east  in  the  a.  m.,  to  the  west  in  the:  p.  m.— 

Latitude  set  or  assumed  to  the  N.  of  the  true  latitude,  noon  to  six  hours. 
Latitude  set  or  assumed  to  the  S.  of  the  true  latitude,  beyond  six  hours. 
Declination  set  or  assumed  to  the  S.  of  the  true  declination,  all  hours. 
To  the  west  in  the  a.  m.,  to  the  east  in  the  p.  m.— 

Latitude  set  or  assumed  to  the  S.  of  the  true  latitude,  noon  to  six  hours. 
Latitude  set  or  assumed  to  the  N.  of  the  true  latitude,  beyond  six  hours. 
Declination  set  or  assumed  to  the  N.  of  the  true  declination,  all  hours. 
The  error  is  considered  as  the  erroneous  fixation  of  the  south  point. 


210 


TABLE  23.— MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.=29.G  ins.    Temp.=50°  F. 


Hours 
from 
noon. 

Latitude. 
25°  0'  27°  30'  30°  0'   25°  0'  27°  30'   30°  0'    25°  0'  27°  30'  30°  0' 
Decl.=  23°  27'  N.      Decl.=  22°  30"  N.       Decl.=  20°  (X  N. 

0 

0   2 

0   4 

0   7 

0   3 

0   5 

0   8 

0   5 

0   8 

0  10 

2 

0   5 

0   7 

0  10 

0   0 

0   8 

0  11 

0   9 

0  11 

0  14 

3 

0   8 

0  12 

0  16 

0  10 

0  13 

0  17 

0  14 

0  17 

0  20 

4 

0  20 

0  23 

0  27 

0  22 

0  25 

0  29 

0  25 

0  28 

0  32 

5 

0  44 

0  49 

0  53 

0  46 

0  51 

0  55 

0  50 

0  55 

1   0  i 

G 

2   7 

2   9 

2  10 

2  12 

2  14 

2  10 

2  29 

2  31 

2  33 

Decl.=  17°30/N. 

Decl.=  15°0'N. 

Decl.=  12°30'N. 

0 

0   8 

0  10 

0  13 

0  10 

0  13 

0  16 

0  13 

0  16 

0  18 

2 

0  11 

•  0  13 

0  10 

0  14 

0  10 

0  19 

0  16 

0  19 

0  22 

3 

0  10 

0  19 

0  23 

0  19 

0  22 

0  26 

0  22 

0  25 

0  29 

4 

0  28 

0  31 

0  35 

0  31 

0  35 

0  39 

0  34 

0  38 

0  43 

5 

0  54 

1   0 

1   5 

0  59 

1   5 

1  10 

1   4 

1  11 

1  .17 

6 

2  49 

2  52 

2  55 

3  15 

3  19 

3  22 

3  49 

3  53 

3  57 

Decl.=  10°0'  N. 

Decl.=  7°30'N. 

Decl.=  5°0'  N. 

0 

0  10 

0  18 

0  21 

0  18 

0  21 

0  24 

0  21 

0  24 

0  27 

2 

0  19 

0  22 

0  25 

0  22 

0  25 

0  28 

0  25 

0  28 

0  31  ! 

3 

0  25 

0  28 

0  32 

0  28 

0  31 

0  35 

0  31 

0  34 

0  .38 

4 

0  37 

0  42 

0  47 

0  41 

0  40 

0  51 

0  46 

0  51 

0  56 

5 

1  10 

1  17 

1  24 

1  17 

1  25 

1  33 

1  25 

1  33 

1  42 

Decl.=  2°30/  N. 

'Decl.=  0°0'. 

Decl.=2°  30*  S. 

0 

0  24 

0  27 

0  30 

0  27 

0  30 

0  33 

0  30 

0  33 

0  37 

2 

0  28 

0  31 

0  34 

0  31 

0  34 

0  38 

0  34 

0  38 

0  42 

3 

0  34 

0  38 

0  42 

0  38 

0  42 

0  47 

0  41 

0  46 

0  51 

4 

0  50 

0  55 

1   1 

0  55 

1   0 

1   6 

0  59 

1   5 

1  12 

5 

1  33 

1  43 

1  53 

1  42 

1  53 

2   5 

1  52 

2   5 

2  20 

Decl.=  5°0'S. 

Decl.=  7°30'  S. 

Dect.=  10°0'S. 

0 

0  33 

0  37 

0  40 

0  37 

0  40 

0  44 

0  40 

0  44 

0  48 

2 

0  38 

0  42 

0  47 

0  42 

0  40 

0  51 

0  46 

0  50 

0  55- 

3 

0  45 

0  50 

0  56 

0  49 

0  55 

1   1 

0  53 

1   0 

1   7 

4 

1   4 

1  11 

1  19 

1  10 

1  18 

1  27 

1  17 

1  26 

1  36 

5 

2   5 

2  23 

2  41 

2  20 

2  43 

3   6 

2  39 

3   5 

3  36 

Decl.=  12°30/  S. 

Decl.=  15°0'S. 

Decl.=  17°  307  S. 

0 

0  44 

0  48   0  53 

0  48 

0  53 

0  58 

0  53 

0  58 

1   3 

2  • 

0  50 

0  55 

1   0 

0  54 

1   0 

1   0 

0  59 

1   5 

1  12 

3 

0  58 

1   5 

1  13 

1   4 

1  12 

1  20 

1  11 

1  19 

1  28 

4 

1  24 

1  34 

1  40 

1  31 

1  43 

1  57 

1  40 

1  54 

2  11 

4^ 

1  51 

2   9 

2  28 

2   2 

2  23 

2  47 

2  14 

2  40 

3  13 

Decl.=  20°0'  S. 

Decl.=  22°30'  S. 

Decl.=  23°27'  S. 

0 

0  58 

1   3 

1   9 

1   3 

1   9 

1  15 

1   5 

1  12 

1  18 

2 

1   5 

1  11 

1  18 

1  11 

1  18 

1  26 

1  13 

1  20 

1  29 

3 

1  18 

1  27 

1  37 

1  25 

1  35 

1  46 

1  28 

1  38 

1  50 

4 

1  52 

2   8 

2  28 

2   4 

2  23 

2  48 

2  10 

2  32 

2  58 

4H 

2  30 

3   3 

3  47 

2  53 

3  34 

4  31 

3  11 

3  57 

5   0 

211 


TABLE  23.— MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.  =29.6  ins.    Temp.=50°  F. 


Hours 
from 
noon. 

Latitude. 
30°  0'  32°  30'  35°  0'  37°  30'  40°  0'  42°  30'  45°  0'  47°  30'  50°  0' 
Decimation  of  the  sun,  23°  27'  N. 

0 

0   7 

0   9 

0  12 

0  15 

0  18 

0  20 

0  23 

0  26 

0  29 

2 

0  10 

0  13 

0  16 

0  19 

0  22 

0  24 

0  27 

0  30 

0  34 

3 

0  16 

0  19 

0  22 

0  25 

0  28 

0  31 

0  35 

0  38 

0  41 

4 

0  27 

0  30 

0  34 

0  37 

0  41 

0  45 

0  49 

0  53 

0  56 

5 

0  53 

0  57 

1   0 

1   4 

1   7 

1  11 

1  14 

1  17 

1  20 

6 

2  10 

2  11 

2  11 

2  11 

2  11 

2  11 

2  11 

2  11 

2  12 

6H 

4  35 

4  14 

3  57 

3  44 

3  33 

3  23 

3  15 

3   7 

3   0 

Declination  of  the  sun,  22°  30'  N. 

0 

0  8 

0  10 

0  13 

0  16 

0  18 

0  21 

0  24 

0  27 

0  30 

2 

0  11 

0  14 

0  17 

0  20 

0  23 

0  26 

0  29 

0  32 

0  35 

3 

0  17 

0  20 

0  23 

0  26 

0  29 

0  32 

0  36 

0  40 

0  43 

4 

0  29 

0  32 

0  35 

0  39 

0  43 

0  47 

0  51 

0  55 

0  58 

5 

0  55 

0  59 

1   2 

1   6 

1  10 

1  13 

1  16 

1  20 

1  23 

6 

2  16 

2  17 

2  17 

2  17 

2  17 

2  17 

2  17 

2  17 

2  18 

6M 

5   3 

4  38 

4  17 

4   1 

3  47 

3  34 

3  23 

3  14 

3   7 

Declination  of  the  sun,  20°  0'  N. 

0 

0  10 

0  13 

0  16 

0  18 

0  21 

0  24 

0  27 

0  30 

0  33 

2 

0  14 

0  16 

0  19 

0  22 

0  25 

0  28 

0  32 

0  35 

0  38 

3 

0  20 

0  23 

0  26 

0  29 

0  32 

0  35 

0  39 

0  43 

0  48 

4 

0  32 

0  35 

0  39 

0  43 

0  47 

0  51 

0  55 

0  59 

1   2 

5 

1   0 

1   4 

1   8 

1  12 

1  16 

1  20 

1  24 

1  28 

1  31 

51A 

1  27 

1  32 

1  37 

1  41 

1  45 

1  49 

1  53 

1  56 

1  58 

6 

2  33 

2  34 

2  34 

2  35 

2  35 

2  36 

2  36 

2  36 

2  36 

6^ 

6  12 

5  40 

5  14 

4  52 

4  34 

4  19 

4   7 

3  57 

3  49 

Declination  of  the  sun,  17°  30'  N. 

0 

0  13 

0  16 

0  18 

0  21 

0  24 

0  27 

0  30 

0  33 

0  37 

2 

0  16 

0  19 

0  22 

0  25 

0  28 

0  31 

0  35 

0  38 

0  42 

3 

0  23 

0  26 

0  29 

0  32 

0  36 

0  39 

0  43 

0  47 

0  52 

4 

0  35 

0  39 

0  43 

0  47 

0  51 

0  55 

1   0 

1   4 

1   7 

5 

1   5 

1  10 

1  14 

1  19 

1  23 

1  27 

1  32 

1  37 

1  40 

5\4 

1  37 

1  42 

1  46 

1  51 

1  55 

2   0 

2   4 

2   7 

2  10 

6 

2  55 

2  56 

2  56 

2  57 

2  58 

2  59 

2  59 

2  59 

2  59 

Declination  of  the  sun,  15°  0'  N. 

0 

0  16 

0  18 

0  21 

0  24 

0  27 

0  30 

0  33 

0  37 

0  40 

2 

0  19 

0  22 

0  25 

0  28 

0  31 

0  34 

0  38 

0  42 

0  47 

3 

0  26 

0  29 

0  33 

0  36 

0  40 

0  44 

0  48 

0  52 

0  57 

4 

0  39 

0  44 

0  48 

0  52 

0  56 

1   0 

1   5 

1   9 

1  14 

5 

1  10 

1  16 

1  21 

1  26 

1  31 

1  36 

1  41 

1  46 

1  51 

5H 

1  48 

1  53 

1  58 

2   3 

2   8 

2  13 

2  18 

2  22 

2  26 

62 

3  22 

3  24 

3  25 

3  26 

3  27 

3  28 

3  28 

3  29 

3  30 

212 


TABLE  23.— MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.=29.Gins     Temp.=50°  F. 


Hours 
from 
noon. 

Latitude. 
30°  (X     32°  3(X     35°  (X      37°  30'      40°  0'     42°  3(X      45°  0'     47°  30'     50°  0' 
Declination  of  the  sun,  12°  30'  N. 

0 

0    18 

0    21 

0    24 

0    27 

0    30 

0    33 

0    37 

0    40 

0    44 

2 

0    22 

0    25 

0    28 

0    31 

0    34 

0    38 

0    42 

0    46 

0    51 

3 

0    29 

0    32 

0    36 

0    40 

0    44 

0    48 

0    52 

0    57 

1      2 

4 

0    43 

0    47 

0    52 

0    56 

1      1 

1      6 

1    11 

1     16 

1    21 

5 

1     17 

1    23 

1    29 

1    35 

1    40 

1    46 

1    51 

1    57 

2      4 

51A 

2      0 

2      6 

2    12 

2     18 

2    24 

2    30 

2    3f 

2    41 

2    46 

6 

3    57 

4      0 

4      4 

4      6 

4      7 

4      8 

4      8 

4    10 

4    11 

Declination  of  the  sun,  10°  (X  N. 

0 

0    21 

0    24 

0    27 

0    30 

0    33 

0    37 

0    40 

0    44 

0    48 

2 

0    25 

0    28 

0    32 

0    35 

0    38 

0    42 

0    47 

0    51 

0    56 

3 

0    32 

0    35 

0    39 

0    44 

0    49 

0    53 

0    57 

1      2 

1      7 

4 

0    47 

0    51 

0    56 

1      1 

1      7 

1     12 

1     18 

1    23 

1    29 

5 

1    24 

1    31 

1    38 

1    45 

1    51 

1    57 

2      4 

2    11 

2     19 

SH 

2    14 

2    22 

2    30 

2    38 

2    45 

2    52 

2    59 

3      6 

3     13 

6 

4    50 

4    54 

4    58 

5      1 

5      3 

5      5 

5      6 

5      8 

5      9 

Declination  of  the  sun,  7°  30'  N. 

0 

0    24 

0    27 

0    30 

0    33 

0    37 

0    40 

0    44 

0    48 

0    53 

2 

0    28 

0    31 

0    35 

0    38 

0    42 

0    46 

0    51 

0    56 

1      1 

3 

0    35 

0    39 

0    43 

0    48 

0    53 

0    58 

1      2 

1      8 

1    13 

4 

0    51 

0    56 

1      1 

1      7 

1     13 

1     19 

1    25 

1    32 

1    38 

5 

1    33 

1    40 

1    48 

1    56 

2      4 

2    12 

2    20 

2    29 

2    38 

5^ 

2    31 

2    41 

2    52 

3      2 

3    11 

3    20 

3    29 

3    39 

3    48 

Declination  of  the  sun,  5°  V  N. 

0 

0    27 

0    30 

0    33 

0    37 

0    40 

0    44 

0    48 

0    53 

0    58 

2 

0    31 

0    34 

0    38 

0    42 

0    47 

0    51 

0    56 

1      1 

1      6 

3 

0    38 

0    43 

0    48 

0    53 

0    58 

1      3 

1      8 

1     14 

1    20 

4 

0    56 

1      1 

1      7 

1     13 

1     19 

1    26 

1    33 

1    41 

1    49 

5 

1    42 

1    51 

2      0 

2    10 

2    20 

2    30 

2    40 

2    51 

3      2 

5^ 

2    53 

3      5 

3    18 

3    31 

3    44 

3    57 

4     10 

4    23 

4    35 

Declination  of  the  sun,  2°  SO7  N. 

0 

0    30 

0    33 

0    37 

0    40 

0    44 

0    48 

0    53 

0    58 

1      3 

2 

0    34 

0    38 

0    42 

0    46 

0    51 

0    56 

1      1 

1      6 

1     12 

3 

0    42 

0    47 

0    52 

0    58 

1      3 

1      9 

1    14 

1    21 

1    28 

4 

1      1 

1      7 

1    14 

1    20 

1    27 

1    35 

1    43 

1    52 

2      1 

5 

1    53 

2      3 

2    14 

2    27 

2    39 

2    52 

3      5 

3    19 

3    33 

5M 

3    21 

3    37 

3    53 

4    11 

4    29 

4    49 

5      9 

5    28 

5    47 

213 


TABLE  23.— MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.=29.6  ins.    Temp.=50°  F. 


Hours 

Latitude. 

from 

noon. 

30°  Of      32°  30'      35°  0'      37°  30'      40°  0'      42°  30'      45°  0'      47°  30'     50°  0' 

> 

Declination  of  the  sun,  0°  0'. 

i     a  , 

/     // 

/       n 

i     n 

/     n 

,     „ 

,     ,, 

i     n 

0 

0    33 

0    37 

0    40 

0    44 

0    48 

0    53 

0    58 

1      3 

1      9 

2 

0    38 

0    42 

0    47 

0    51 

0    56 

1      1 

1      7 

1     12 

1    18 

3 

0    47 

0    52 

0    57 

1      3 

1      S 

1    15 

1    21 

1    28 

1    36 

4 

1      6- 

.1     13 

1    21 

1    28 

1    36 

1    45 

1     54 

2      4 

2    16 

4J^ 

1    26 

1    35 

1    44 

1    54 

2      4 

2    16 

2    29 

2    42 

2    55 

5 

2      5 

2    18 

2    32 

2    47 

3      2 

3    19 

3    37 

3    56 

4    15 

Declination  of  the  sun,  2°  30'  S. 

0 

0    37 

0    40 

0    44 

0    48 

0    53 

0    58 

1      3 

1      9 

1     15 

2 

0    42 

0    46 

0    51 

0    56 

1      1 

1      7 

1     13 

1    20 

1    27 

3 

0    51 

0    57 

1      2 

1      8 

1     15' 

1    22- 

1    29 

1    37 

1    46 

4 

1    12 

1    20 

1    28 

1    37 

1    46 

1    57- 

2      8 

2    20 

2    34 

VA 

1    34 

1    45 

1    56 

2      8 

2    21 

2    34 

2    50 

3      7 

3    25 

5 

2    20 

2    36 

2    54 

3    13 

3    32 

3    55 

4    20 

4    47 

5    16 

Decimation  of  the  sun,  5°  0'  S. 

0 

0    40 

0    44 

0    48 

0    53 

0    58 

1      3 

1      9 

1    15 

1    22 

2 

0    47 

0    51 

0    56 

1      1 

1      7 

1    13 

1    20 

1    28 

1    36 

3 

0    56' 

1      2 

1      8 

1    14 

1    21 

1    29 

1    38 

1    48 

1    59 

4 

1    19 

1    28 

1    37 

1    47 

1    58 

2    11' 

2    25 

2    40 

2    57 

4J^ 

1    44 

1    57 

2    10 

2    24 

2    40' 

2    57 

3    17 

3    40 

4      6 

,    5 

2    41 

2    59' 

3    22 

3    47 

4    15 

4    46 

5    21 

6      2 

6    52 

Declination  of  the  sun,  7°  30'  S. 

0 

0    44 

0    48 

0    53 

0    58 

1      3 

1      9 

1    15 

1    22 

1    30 

2 

0    51 

0    55 

1      1 

1      6 

1    13 

1    20 

1    28 

1    37 

1    46 

3 

1      1 

1      8 

1    15 

1    22 

1    30 

1    38 

1    48 

2      0 

2    14 

4 

1    27 

1    37 

1    47 

1    59 

2    12 

2    28 

2    45 

3      4 

3    27 

4^ 

1    56 

2    11 

2    27 

2    44 

3      4 

3    27 

3    53 

4    26 

5      4 

5 

3      6 

3    30 

3    59 

4    34 

5    13 

5    57 

6    45 

Declination  of  the  sun,  10°  0'  S. 

0 

0    48 

0    53 

0    58 

1      3 

1      9 

1    15 

1    22 

1    30 

1    40 

2 

0    55 

1      0 

1      6 

1    12 

1    19 

1    27 

1    36 

1    46 

1    58 

3 

1      7 

1    14 

1    22 

1    30 

1    39 

1    49 

2      1 

2    15 

2    31 

4 

1    36 

1    47 

1    59 

2    13 

2    30 

2    49 

3    10 

3    36 

4      7 

4^ 

2    11 

2    28 

2    47 

3    10 

3    36 

4      8 

4    44 

5    30 

6    28 

214 


TABLE  23.-MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.=29.6  ins.    Temp.  =  50°  F. 


Hours 

Latitude. 

from 

noon. 

30°0'       32°80'       35°0'       37°30>       40°0'       42°30'       45°0f'47°30'       50°0'  ' 

Declination  of  the  sun,  12°  30'S. 

/     // 

/     „ 

/      ,, 

/"    ,, 

/      // 

/      // 

/      t, 

/      a 

/•     // 

:       0 

0    53 

0    58 

1      3 

1      9 

1    15 

1    22 

1    30 

1    40  ' 

1?    50 

2 

1      0 

1      6 

1    13 

1    20 

1    27- 

1    36 

1    46 

1    57 

2    11. 

3 

1    13 

1    21 

1    30 

1    39 

1    50 

2  '  1 

2    16' 

2    33' 

2!    52 

4 

1     46 

1    59 

2    14 

2    31' 

2    52  : 

3    16 

3    43 

4    19  ; 

5      4 

$i 

2    28 

2    49 

3    13 

3    44' 

4    20 

5      5 

6    :  0 

Declination  of  the  sun,  15°  0'  S." 

i 

0 

0    58 

1      3 

1      9 

1    15 

1    22 

1    30 

1     40 

1    50 

2     3 

2 

1      6 

1     12 

1    20 

1    28 

1    36 

1    46 

1     58 

2    10 

2    26 

3 

1    20 

1    28 

1    38 

1    49 

2      2 

2    16 

2    34 

2    54 

3    20 

31A 

1    34 

1    45 

1    57 

2    12 

2    29 

2    48 

3    12 

3    42 

4    21- 

4 

1    57 

2    14 

2    33 

2    55 

,3    20 

3    52 

4    30 

5    18 

6    32 

VA 

2    47 

3    15 

3    47 

4    29 

5    20 

6    28 

Declination  of  the  sun;  17°  30'  S. 

0 

1      3 

1      9 

1    15 

1    22 

1    30 

1    40 

1    50 

2      3 

2!    18 

2 

1    12 

1     19 

1    28 

1    37 

1     46 

1    58 

2    12 

2    26 

2    48 

3 

1    28 

1    37 

1    48 

2      1 

2    17 

2    35 

2    57 

3    22' 

4:      a 

&A 

1    43 

1    57 

2    12 

2    29 

2    50 

3    15 

3    47 

4-  28' 

5    24 

'4 

2    11 

2    31 

2    55 

3    23 

3    57 

4    42' 

5  :  40' 

6   ;56 

c' 

Declination  of  the  sun,  20°  0'  S. 

0 

1      9 

1    15 

1    22 

1    30 

1    40 

1     50 

2      3 

2    18 

2|    37 

2 

1    18 

1    27 

1    36 

1    46 

1    58 

2    12 

2    29 

2    47 

3!    17 

3 

1    37 

1    47 

2      0 

2    16 

2    35 

2    58 

.3    26 

4      0 

4;    54 

3^ 

1    54 

2    10 

2    29 

2    50 

3    17 

3    51 

4    36 

5    30 

7      7 

4 

2    28 

2    52 

3    21 

3    56 

4    47 

5    58 

•  ':  j 

Declination  of  the  sun,  22°  30'  S..  ' 

0 

1    15 

1    22 

1    30 

1    40- 

1'    50 

2'3 

21  18 

2-37 

3      1; 

2 

1    26 

1    35 

1    45 

1    57 

2    12 

2    29 

2    49 

3    13 

3    53 

:     2H 

1    34 

1    45 

1    57 

2    11 

2    28 

2    49 

3    16 

3    50 

4    32 

:   3 

1    46 

.1    59 

2    15 

2    34 

2    57 

3    26 

,4      4 

4    56. 

6    10 

;     3H 

2      7. 

2    25 

2-  48 

3    18 

3    51 

4    38  ' 

5    43 

4 

2    48 

3    19 

3    57 

4    46 

5'  56 

•  • 

»-" 

,     , 

; 

Declination  of  the  sun,  23°  27'  S.' 

1     ° 

1    18 

1    25- 

1-34 

1    44 

1    55 

2"'  9 

2    25 

2    46' 

3    12 

!     2 

1    29 

1    39 

1    50 

2      3 

2    18 

2    37 

3      0- 

_3    28 

4  ..10 

2^ 

1    36 

1     49 

2      3 

2    18 

2    37 

3      1 

3    31 

4    11 

5      9 

3 

1    50 

2      6 

2    23 

2    44 

3      9 

3    43 

4    27 

5    25 

7      1 

3H 

2    15 

2    33 

2    58 

3    32 

4    12 

5      4 

6    25 

4 

2    58 

3    32 

4    17 

5    14 

6    45 

TABLE  23.-MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar. =29.6  ins.    Temp. = 50°  F. 


Hours 
from 
noon. 

Latitude. 
50"  0"  52°  30'  55°  0'  57°  30'  60°  0'  62°  30'  65°  0'  67°  30'  70°  0' 

Declination  of  the  sun,  23°  27'  N. 

0 

0  29 

0  32 

0  35 

0  39 

0  42 

0  46 

0  51 

0  56 

1   1 

2 

0  34 

0  37 

0  41 

0  44 

0  48 

0  52 

0  57 

1   1 

1   6 

3 

0  41 

0  44 

0  48 

0  52 

0  56 

1   0 

1   5 

1   9 

1  14 

4 

0  56 

0  59 

1   2 

1   5 

1   9 

1  13 

1  18 

1  22 

1  26 

5 

1  20 

1  23 

1  26 

1  29 

1  32 

1  35 

1  38 

1  41 

1  44 

6 

2  12 

2  12 

2  12 

2  12 

2  12 

2  12 

2  12 

2  12 

2  12 

Declination  of  the  sun,  22°  30'  N. 

0 

0  30 

0  33 

0  37 

0  40 

0  44  1  0  48 

0  53 

0  58 

3 

2 

0.  35 

0  38 

0  42 

0  45 

0  49 

0  53 

0  58 

1   3 

8 

3 

0  43 

0  46 

0  50 

0  54 

0  58 

1   2 

1   7 

1  11 

16 

4 

0  58 

1   1 

1   4 

1   7 

1  11 

1  15 

1  20 

1  24 

29 

5 

1  23 

1  26 

1  29 

1  32 

1  35 

1  38 

1  42 

1  45 

48 

6 

2  18 

2  18 

2  18 

2  18 

2  18 

2  18 

2  18 

2  18 

2  18 

Declination  of  the  sun,  20°  0'  N. 

0 

0  33 

0  37 

0  40 

0  44 

0  48 

0  53 

0  58 

1   3 

1   9 

2 

0  38 

0  42 

0  46 

0  50 

0  54 

0  58 

1   3 

1   9 

1  15 

3 

0  48 

0  51 

0  55 

0  59 

1   3 

1   8 

1  13 

1  18 

1  24 

4 

1   2 

1   6 

1  10 

1  14 

1  18 

1  22 

1  27 

1  32 

1  38 

5 

1  31 

1  34 

1  38 

1  41 

1  45 

1  49 

1  53 

1  57 

2   1 

6 

2  36 

2  36 

2  36 

2  36 

2  36 

2  36 

2  36 

2  37 

2  37 

Declination  of  the  sun,  17°  30'  N. 

0 

0  37 

0  40 

0  44 

0  48 

0  53 

0  58 

1   3 

1   9' 

1  15 

2 

0  42 

0  46 

0  50 

0  54 

0  59 

1   4 

1   9 

1  15 

1  22 

3 

0  52 

0  56 

1   0 

1   4 

1   9 

1  14 

1  20 

1  26 

1  33 

4 

1   7 

1  12 

1  17 

1  21 

1  26 

1  31 

1  36 

1  42 

1  49 

5 

1  40 

1  44 

1  48 

1  52 

1  57 

2   2 

2   7 

2  11 

2  15 

6 

2  59 

2  59 

2  59 

2  59 

2  59 

2  59 

2  59 

3   0 

3   0 

Declination  of  the  sun,  15°  0'  N. 

0 

0  40 

0  44 

0  48 

0  53 

0  58 

1   3 

1   9 

1  15 

1  22 

2 

0  47 

0  51 

0  55 

1   0 

1   5 

1  10 

1  16 

1  23 

1  30 

3 

0  57 

1   1 

1   6 

1  10 

1  15 

1  21 

1  28 

1  35 

1  43 

4 

1  14 

1  19 

1  24 

1  29 

1  35 

1  41 

1  47 

1  54 

2   1 

5 

1  51 

1  56 

2   1 

2   6 

2  12 

2  17 

2  23 

2  28 

2  34 

6 

3  30 

3  30 

3  30 

3  30 

3  30 

3  30 

3  30 

3  31 

3  31 

218 


TABLE  23.-MEAN  REFRACTIONS  IN  POLAR  DISTANCE. 

Bar.  =  29.6ins.    Temp.  =  50°  F. 


Hours 
from 
noon. 

Latitude. 
50°  0'     52°  30'     55°  0'     57°  30'      60°  0'      62°  30'     65°  0'     67°  30'      70°  0' 
Declination  of  the  sun,  12°  30'  N. 

0 

0    44 

0    48 

0    53 

0    58 

1      3 

1      9 

1     15 

1    22 

1    30 

2 

0    51 

0    56 

1      1 

1      6 

1     11 

1     17 

1    23 

1    30 

1    39 

3 

1      2 

1      7 

1     12 

1     17 

1     22 

1    29 

1    37 

1    45 

1    54 

4 

1    21 

1    27 

1    32 

1    38 

1    45 

1    52 

1    59 

2      7 

2     16 

5 

2      4 

2    10 

2    16 

2    22 

2    29 

2    35 

2    42 

2    49 

2    57 

6 

4     11 

4    12 

4    12 

4    12 

4    12 

4    12 

4     13 

4     13 

4    13 

Declination  of  the  sun,  10°  V  N. 

0 

0    48 

0    53 

0    58 

1      3 

1      9 

1     15 

1    22 

1    30 

1    40 

2 

0    56 

1      1 

1      7 

1     12 

1     18 

1    25 

1    32 

1    41 

1    50 

3 

1      7 

1     12 

1     18 

1    24 

1    31 

1    39 

1    47 

1    56 

2      6 

4 

1    29 

1    35 

1    42 

1    49 

1    57 

2      5 

2    14 

2    24 

2    34 

5 

2    19 

2    26 

2    34 

2    42 

2    50 

2    58 

3      7 

3     16 

3    26 

6 

5      9 

5      9 

5     10 

5     10 

5     10 

5     11 

5     11 

5     12 

5     12 

Declination  of  the  sun,  7°  30'  N. 

0 

0    53 

0    58 

1      3 

1      9 

1     15 

1    22 

1    30 

1    40 

1    50 

2 

1      1 

1      7 

1     12 

1    19 

1    26 

1    34 

1    42 

1    52 

2      3 

3 

1    13 

1     19 

1    25 

1    33 

1    41 

1    50 

1    59 

2      9 

2    21 

4 

1    38 

1    45 

1    53 

2      2 

2    11 

2    21 

2    32 

2    44 

2    57 

5 

2    38 

2    47 

2    57 

3      7 

3    17 

3    28 

3    40 

3    53 

4      6 

Declination  of  the  sun,  5°  0'  N. 

0 

0    58 

1      3 

1      9 

1     15 

1    22 

1    30 

1    40 

1    50 

2      3 

2 

1      6 

1     12 

1     18 

1    26 

1    35 

1    44 

1    53 

2      4 

2    18 

3 

1    20 

1    27 

1    34 

1    43 

1    52 

2      2 

2     14 

2    27 

2    40 

4 

1    49 

1    57 

2      5 

2    16 

2    28 

2    41 

2    55 

3    10 

3    27 

5 

3      2 

3     14 

3    26 

3    39 

3    53 

4      8 

4    24 

4    42 

5      1 

Declination  of  the  sun,  2°  30'  N. 

0 

1      3 

1      9 

1     15 

1    22 

1    30 

1    40 

1    50 

2      3 

2    18 

2 

1    12 

1     19 

1    25 

1    34 

1    44 

1    55 

2      6 

2    20 

2    37 

3 

1    28 

1    35 

1    44 

1    54 

2      5 

2    18 

2    32 

2    48 

3      5 

4 

2      1 

2    12 

2    21 

2    34 

2    49 

3      6 

3    24 

3    44 

4      8 

5 

3    33 

3    50 

4      6 

4    25 

4    45 

5      7 

5    32 

6      0 

6    31 

Declination  of  the  sun,  0°  0'. 

0 

1      9 

1     15 

1    22 

1    30 

1    40 

1    50 

2      3 

2    18 

2    37 

2 

1    18 

1    26 

1    34 

1    43 

1    54 

2      6 

2    20 

2    38 

3      1 

3 

1    36 

1    45 

1    55 

2      7 

2    20 

2    35 

2    53 

3    14 

3    39 

4 

2    16 

2    29 

2    43 

2    58 

3    16 

3    36 

4      0 

4    28 

5      3 

5 

4    15 

4    38 

5      2 

5    29 

5    59 

6    33 

7     13 

7    59 

8    53 

217 


TABLE  24.— TRIGONOMETRIC  FORMULAS  FOR  THE  SOLUTION  OF  PLANE 
TRIANGLES. 


Let  A  =  angle  BA  C  =  arc  B  F,  and  let  the  radius  A  F  =  AB  =  AH=  1. 
We  then  have 

Jf             KG 

sin  A         =  B  C                                        "^xT                          ^ 

cos  .4         =  ^  C                                                  >v                 ^X^ 

tan  .A        =  D  F                                                   \    n  ^r 

cot  A         =  HG 
sec  ^4.          =  ^4Z> 

,                ^/fr 

—         —  ^x^1  \1 

cosec  ^      =  ^G                                              cx^       \| 

versing    =  CF=BE                              ^       a 

covers  A    —  BK  =  HL 

exsec  A     =  BD 

Y  ^^       *           r 

f                  <?     ^ 

coexsec  A  =  BG                                                             I 

chord  A     =  B  F                                                          / 

chord  2  A  =  57  =  2J5  C                                            jfl 

In  the  right-angled  triangle  ABC                                  S 
LetAB  =  c,AC=b,Sind.BC=a.                    ^^^ 

We  then  have: 

FlGl. 

1.    sin  .4         =    --     =  cosB 

11.    o  =  c  sin  .4  =  6  tan  A 

2.    cos  4         =   -     =sin# 

12.    ft  =  c  cos  A  =  a  cot  .4 

c 

3.    tan  A        •=    ~     =  cot  B 

13     c  =      ffl      =  _6_ 
sin  A        cos  vl 

4.    cot  A         =    ^    =  tan  B 

14.    a  =  c  cos  B  =  6  cot  5 

5.    sec  A         =    ^-    -  cosec  B 

0 

15.    6  =  c  sin  £  =  a  tan  £ 

6.    cosec  .4      =    —    =  sec  B 

m 

a             & 
~cos£     sTnir 

7.    vers  A       =  —^—  =  covers  B 

17.    a  =  V~(c+&)  (c-6) 

8.    exsec  .4     =  ^—  =  coexsec  5 

18-    6=  V(c+a)(c-a) 

9.    covers  A    =  -=^—  =  versin  B 

19.    c=  Va2+b2 

10.    coexsec  A  =  -^^-  =  exsec  B 

21.  area  =  c  6 

2 

218 


TABLE  24.-TRIGONOMETRIC  FORMULAS  FOR  THE  SOLUTION  OF  PLANE 
TRIANGLES. 


SOLUTION  OF  OBLIQUE  TRIANGLES. 
J3 


FIG.  2. 


GIVEN.  SOUGHT. 


A,B,a 


A,a,b 


C,a,b 


C,b,c 


B,C,c 


1A(A+B) 


A,B 


^_. 

sin  ^1 


-B)=         tan  yz(A+B) 


a,b,c 


area=  y2  a  b  sin  C, 
Lets=^(a+6+c);  sin } 


cos  yz  A=JS^',  tan  y,  A-J«-W'-' 
V      be  V     *(*-a) 

sin^==2V^-a)(J?-b)(8-c). 


2&c 


A,S,C,a 


area 
area 


2  sin  A 


219 


TABLE  25.-TRIGONOMETRIC  FORMULAS  FOR  THE  SOLUTION  OF  ST4DIA 
MEASUREMENTS,  OBSERVATIONS  FOR  TIME,  LATITUDE  AND  AZI- 
MUTH, AND  PROBLEMS  IN  CONVERGENCE. 


NOTATION. 

'THE  EPHEMER1S." 


"Ephemeris  of  the  Sun  and  Polaris,  and  Tables  of  Azimuths  of  Polaris,"  pre- 
pared under  the  direction  of  the  Commissioner  of  the  General  Land  Office. 
"?£":  The  symbol  for  approximation. 


Observed  vertical  angle;  in  altitude  observations  on  the  sun,  the  reductions  to  the 
sun'scenter  both  vertically  and  horizontally,  as  well  as  instrumental  errors,  are  elimi- 
nated by  taking  direct  and  reversed  observations  on  the  opposite  limbs  of  the  sun, 
and  the  mean  observed  vertical  angle  to  the  sun'scenter  is  to  be  considered  "  v  "  in  the 
notation.  In  single  observations  the  vertical  reduction  to  the  sun's  center  =  16';  a 
refinement  is  had  by  referring  to  the  Ephemeris  for  the  value  of  the  sun's  semidiam- 
eter  for  the  date  of  observation. 

"ft." 

True  vertical  angle  to  the  sun's  center,  or  to  Polaris,  in  altitude  observations,  after 
correction  for  refraction:  h  =  v—  refraction  in  zenith  distance;  a  refinement  is  had  in 
altitude  observations  on  the  sun  by  adding  the  value  of  the  sun's  parallax  = 
8".9  cos  v,  opposite  in  effect  to  refraction. 

"C." 

Zeta:  True  zenith  distance  of  the  sun's  center. 

C=r90°—  Jl. 


Phi:  Latitude  of  the  station  of  observation. 

"A." 
Lambda:  Longitude  of  the  station  of  observation. 

"*." 

Delta:  Declination  of  the  sun  or  Polaris;  to  be  taken  from  the  Ephemeris  for  the 
date  of  observation;  the  declination  of  the  sun  is  to  be  corrected  in  hourly  difference 
to  the  longitude  of  the  station  and  to  the  time  of  observation:  north  declinations  are 
treated  as  positive  and  south  declinations  as  negative;  a  northerly  hourly  motion  is 
treated  as  positive  and  a  southerly  hourly  motion  is  treated  as  negative;  in  the  use  of 
the  solar  attachment  the  declination  of  the  sun  is  to  be  corrected  for  refraction  in  polar 
distance,  always  north. 

"A." 

Azimuth  angle  from  the  true  meridian  to  Polaris,  or  to  the  sun's  center;  in  the 
following  analytical  solutions  "A"  is  referred  to  the  north  point  unless  otherwise 
modified,  and  the  reductions  are  symmetrical  either  east  or  west  of  the  meridian;  all 
determinations  for  azimuth  imply  the  recording  of  horizontal  angles  from  a  fixed 
reference  point  to  Polaris  or  to  the  sun,  or  a  point  marked  on  the  ground  to  define 
the  direction  of  observation,  the  mean  horizontal  angle,  or  the  mean  point  in  direc- 
tion, being  used  in  the  determination;  in  single  observations  on  the  sun,  the  reduc- 
tion to  the  sun's  center  in  azimuth  =-or~;  a  refinement  in  the  value  of  the  sun's  semi- 
diameter  Is  had  by  referring  to  the  Ephemeris  for  the  date  of  observation. 

220 


SIGNS  OF  TRIGONOMETRIC  FUNCTIONS. 

Sines  Cosines 


280' 


Tangents 

and 

Cotangents 

90° 

2/  " 


0'   180' 


0'   180 


FIG.  3. 
STADIA  MEASUREMENTS. 

Hor.  dis.:  The  true  horizontal  distance  from  the  center  of  the  instrument  to  the  rod. 
Diff.  elev.:  The  true  vertical  distance  from  the  height  of  the  instrument  to  the 
center  point  between  the  two  targets  of  the  rod. 

"r":  Vertical  rod  reading. 

"K":  The  wire  interval  or  ratio,  to  be  determined  in  the  field  by  frequent  tests 
under  working  conditions  in  comparison  with  steel  tape  measurement,  solving  the 
formula  given  below  for  "K,"  hor.  dis.  known. 

"c":  Distance  from  the  center  of  the  instrument  to  the  object  glass. 
"/":  Distance  from  the  plane  of  the  cross-wires  to  the  object  glass. 

Hor.  dis.  =  K  r  cos2  v  +  (c  +/1  cos  v. 
.  Diff .  elev.  =  K  r  \  sin  2  v  +  (c  -f  /)  sin  v. 

In  public  land  surveying  it  is  convenient  to  have  fixed  stadia  wires  with  a  ratio  of 
1:132  so  that  the  sum  of  two  rod  readings  in  feet  will  be  equivalent  to  a  ratio  of  1:66, 
or  a  reduced  distance  in  chains;  it  is  also  convenient  to  reduce  the  error  in  the  wire 
interval  to  the  error  in  10  chs.,  and  to  eliminate  the  error  by  applying  to  the  reduced 
distance  the  proper  amount  taken  from  the  table  of  proportional  parts.  With  a  ratio 
of  1:100,  using  a  rod  graduated  to  links,  the  elimination  of  the  error  in  the  wire  inter- 
val is  conveniently  made  in  the  same  manner.  With  a  ratio  of  1:100,  using  a  rod  grad- 
uated to  feet,  the  reduction  is  simplified  by  determining  the  logarithm  of  the  true 
"  K,"  rod  in  feet  and  horizontal  distance  in  chains  units,  accomplishing  the  reduction 
of  Krcos2v  by  logarithmic  functions. 

TIME. 

Conversion  of  standard  time  into  local  mean  time.— Watch  reading  ±  watch  error  in 
standard  time  by  comparison  ±  correction  for  longitude;  the  correction  for  longitude 
is  additive  east  and  subtractive  west  of  the  standard  meridian  of  the  tune  belt;  the 
conversion  table  "degrees  to  time "  Is  convenient  in  this  reduction. 

Conversion  of  apparent  time  into  local  mean  time.— Apparent  time  of  observation  ± 
the  equation  of  time;  the  equation  of  time  is  to  be  taken  from  the  Ephemeris  for  the 
date  of  observation  and  corrected  for  the  longitude  and  time  of  observation,  conven- 
iently interpolated  as  the  interval  from  Greenwich  noon  to  the  time  of  observation; 


221 


the  watch  error  in  local  mean  time  is  then  found  by  taking  the  difference  between  the 
watch  reading  at  the  epoch  of  the  observation  and  the  reduced  local  mean  time  of 
observation. 

Local  mean  time  of  upper  culmination  of  Polaris.— The  Greenwich  mean  time  of 
upper  culmination  of  Polaris  is  to  be  taken  from  the  Ephemeris  for  the  date  of  obser- 
vation; the  amount  to  be  subtracted  from  the  Greenwich  mean  time  of  upper  culmina- 
tion of  Polaris  to  obtain  the  local  mean  time  of  upper  culmination  of  Polaris,  in  which 
the  argument  is  the  longitude  west  from  Greenwich,  is  obtained  from  the  table  of 
sidereal  conversions  without  computation. 

Local  mean  time  of  elongation  of  Polaris. — The  mean  time  of  elongation  of  Polaris, 
Greenwich  meridian,  latitude  40°,  is  to  be  taken  from  the  Ephemeris  for  the  date  of 
observation;  the  amount  to  be  subtracted  from  the  mean  time  of  elongation  of  Polaris, 
Greenwich  meridian,  latitude  40°,  to  obtain  the  mean  time  of  elongation  of  Polaris, 
local  meridian,  latitude  40°,  in  which  the  argument  is  the  longitude  west  from  Green- 
wich, is  obtained  from  the  table  of  sidereal  conversions  without  computation.  The 
amount  to  apply  to  the  local  mean  time  of  elongation  of  Polaris  latitude  40°  to  obtain 
the  local  mean  time  of  elongation  of  Polaris  latitude  of  observation  is  tabulated  in 
the  Ephemeris  in  connection  with  the  table  of  azimuths  of  Polaris  at  elongation. 

Conversion  of  a  mean  time  interval  into  a  sidereal  time  interval,  or  vice  versa. — The 
amount  to  apply  to  one  time  interval  to  obtain  the  other  time  interval  is  obtained 
from  the  table  of  sidereal  conversions  without  computation. 

Hour  angles  of  Polaris, — A  mean  time  hour  angle  of  Polaris  west  of  the  meridian  is 
the  mean  time  interval  from  the  local  mean  time  of  upper  culmination  of  Polaris  to 
the  local  mean  time  of  observation  of  Polaris;  a  mean  time  hour  angle  of  Polaris  east 
of  the  meridian  is  the  mean  time  interval  from  the  local  mean  time  of  observation  of 
Polaris  to  the  local  mean  time  of  upper  culmination  of  Polaris. 

Mean  time  hnur  angle  of  Polaris  at  elongation.—"  t  "=  the  sidereal  hour  angle  in  an- 
gular measure,  this  converted  into  time  measure,  and  this  in  turn  converted  from  a 
sidereal  time  interval  into  a  mean  time  interval  gives  the  mean  time  hour  angle  of 
Polaris  at  elongation: 

Cos  £=cotan  3  tan  ^ 

Altitude  observation  of  the  sun  for  apparent  lime. — 'T'=hour  angle  from  apparent 
noon  in  angular  measure;  reverse  the  signs  of  "d"  for  south  declinations: 


T      x  /_      sin  &  (tj+4-d)  sin  j  (C-0+ 
an  „  «-• co  <cos  i     __ 


Meridian  observation  of  the  sun  for  apparent  noon.—  With  the  telescope  in  the  merid- 
ian elevated  to  the  sun's  altitude,  the  watch  times  of  transit  of  the  sun's  west  and  east 
limbs  are  noted,  the  mean  of  which  is  the  watch  time  of  apparent  noon;  if  the  obser- 
vation fails  for  either  limb  the  reduction  to  the  sun's  center  is  accomplished  by  adding 
or  subtracting  68  seconds;  a  refinement  in  the  amount  of  this  time  is  had  by  referring 
to  the  Ephemeris  for  the  time  of  the  sun's  semidiameter  passing  the  meridian  for  the 
date  of  observation;  the  setting  for  the  approximate  altitude  of  the  sun's  center  is: 


LATITUDE. 

Meridian  altitude  observation  of  the  sun  for  latitude.—  Reverse  the  sign  of  "d"  for 
south  declinations: 


This  observation  is  conveniently  combined  with  the  meridian  observation  of  the 
sun  for  time,  observing  simultaneously  the  sun's  lower  and  west  limbs,  recording 
the  watch  time  and  the  vertical  angle  and  reversing  in  the  interval  of  about  2\  min- 


222 


utes,  and  observing  simultaneously  the  sun's  upper  and  east  limbs;  the  settings  for 
the  approximate  altitudes  of  the  sun's  lower  and  upper  limbs,  respectively,  are:    - 


Altitude  observation  of  Polaris  at  upper  culmination  for  latitude.  — 


A  Ititude  observation  of  Polaris  at  lower  culmination  for  latitude.—  The  mean  time  hour 
angle  of  Polaris  at  lower  culmination  is  11  hours  58  minutes  2  seconds; 


The  settings  for  the  approximate  altitude  of  Polaris  at  upper  and  lower  culmina- 
tions, respectively,  are: 


AZIMUTH. 

Altitude  observation  of  the  sun  for  azimuth.—  Reverse  the  signs  of  "d"  for  south 
declinations: 


/ 
-"V 


The  spherical  angles  "C,"  "<f>,"  and  "3"  appear  in  this  equation  combined  as  in 
the  formula  for  the  reduction  of  an  altitude  observation  of  the  sun  for  apparent  time, 
and  when  it  is  desired  to  reduce  for  both  time  and  azimuth,  the  above  equation  for 
azimuth  is  to  be  preferred  to  any  that  follow. 

Altitude  observation  of  the  sun  for  azimuth.  —  For  south  declinations  the  function 
"sin  d"  becomes  negative  by  virtue  of  the  sine  of  a  negative  angle  being  treated  as 
negative  in  analytical  reductions:  If  the  algebraic  sign  of  the  result  is  positive  the 
azimuth  "A"  is  referred  to  the  north  point,  but  if  negative,  the  azimuth  "A"  is 
referred  to  the  south  point: 


The  above  equat'on  is  very  convenient  in  reducing  for  azimuth  only. 

Altitude  observation  of  the  sun  for  azimuth.  —  To  many  surveyors  the  following  equa- 
tion is  familiarly  expressed  directly  in  terms  of  the  spherical  triangle"  pole-zenith- 
sun":  reverse  the  sign  of  "d"  for  south  declinations: 

Pole  to  zenith=90°-<£=colat.; 
Pole  to  sun     =90°—  d  =codecl.; 
Zenith  to  sun  =90°—  ft=coalt.; 
S=H  sum  of  the  three  sides: 


sin  S  sin  (S -coded.) 
Cos  Ji  -^•ysi^eoTat.  sincoalt. 


Equal  altitude  observations  of  the  sun  for  meridian.— The  sun's  center  at  equal  alti- 
tudes occupies  symmetrical  positions  in  azimuth  east  and  west  of  the  meridian  in  the 
morning  and  in  the  afternoon  except  for  the  correction  necessary  to  be  applied  due 
to  the  change  in  the  sun's  declination  in  the  interval  between  the  a.  m.  and  p.  m. 
observations: 

"dA$  ":  Correction  in  azimuth  in  minutes  of  angular  measure  to  be  applied  to  the 
mean  position  in  azimuth  to  obtain  the  true  south  point;  the  correction  is  to  be 
applied  to  the  east  with  a  northerly  hourly  change  in  declination,  or  to  the  west  with 
a  southerly  hourly  change. 

" d  8":  Change  in  declination  of  the  sun  from  the  a.  m.  to  the  p.  m.  observation, 
expressed  In  minutes  of  angular  measure. 

223 


":  The  sum  of  the  hour  angles  from  apparent  noon,  or  the  total  watch  time 
from  the  a.  m.  to  the  p.  m.  observation,  expressed  in  angular  measure. 


«     cos  <£  sin  ft  (ti+tz) 

The  symmetry  of  the  equal  altitude  observation  is  preserved  by  observing  opposite 
limbs  in  azimuth  in  the  a.  m.  and  p.m.  observations,  in  connection  with  the  same  limb 
in  vertical  angle  in  both  observations. 

With  "%  d  d"  and  "  J^  (t\+h)"  calculated,  the  computation  can  be  concluded  by 
applying  to  "^  dd"  the  declination  coefficient  obtained  by  entering  the  table  of 
coefficients  for  computing  errors  in  azimuth  due  to  small  errors  in  declination,  argu- 
ments: "$"  and  "^(ti+h)." 

Azimuth  of  Polaris  at  elongation. — 

cos  d 


A  table  of  azimuths  of  Polaris  at  elongation,  for  latitudes  from  25°  to  70°  N.,  appears 
in  the  Ephemeris,  arguments:  "d"  and  "$." 

Azimuth  of  Polaris  at  any  hour  angle. — "J"=sidereal  hour  angle  in  angular  measure; 
in  hour  angles  exceeding  90°  the  function  "—sin  <j>  cos  t"  becomes  positive  by  virtue 
of  the  cosine  of  an  angle  between  90°  and  270°  being  treated  as  negative  in  analyti- 
cal reductions: 

sin  t 


TanA= 


cos  <f>  tan  3 —  sin  <f>  cos  t 


A  table  of  azimuths  of  Polaris  at  all  hour  angles,  for  latitudes  from  30°  to  50°  N., 
appears  in  the  Ephemeris,  arguments:  "d,"  mean  time  hour  angle,  and  "$." 

For  other  than  the  above  latitudes  the  surveyor  will  be  required  to  perform  the 
above  analytical  solution,  accomplished  by  the  following  process:  convert  the  usual 
mean  time  hour  angle  into  sidereal  hour  angle,  and  convert  the  sidereal  hour  angle 
into  angular  measure  to  obtain  l-t"  for  the  above  equation. 

Polaris  at  sunset  or  sunrise.  —  Polaris  is  conveniently  observed  for  azimuth  by  the 
hour  angle  method  at  sunset  or  sunrise  without  artificial  illumination;  the  prepara- 
tion for  the  observation  consists  in  computing  in  advance  the  approximate  settings  in 
azimuth  and  altitude  in  order  to  find  Polaris,  and  the  plan  contemplates  an  approxi- 
mate reference  meridian:  with  the  time  of  sunset  or  sunrise  assumed  as  the  time  of 
observation,  the  hour  angle  "t"  and  azimuth  "A"  are  determined  in  order  to  find  the 
position  of  Polaris  in  azimuth;  the  position  in  altitude  is  found  by  the  following 
approximation,  the  positive  sign  being  used  for  hour  angles  less  than  6  hours,  and  the 
negative  sign  for  hour  angles  exceeding  6  hours: 


CONVERGENCE  OF  MERIDIANS. 

;  ":  Measurement  along  the  parallel. 
^":  Measurement  along  the  meridian. 

:  Equatorial  radius  of  the  earth=3963.3  miles=  80X3963.3  chains. 
:  Factor  of  eccentricity,  log  c=8.915  2515. 

^  ":  Linear  amount  of  the  convergency  on  the  parallel,  of  two  meridians  dis- 
tance apart  "m;  ,"  and  distance  "m^"  along  the  meridian:  "dm^  ,"  "m^  ,"  "7n^"and 
"a"  to  be  expressed  in  the  same  unit: 


OF  THE 

([UNIVERSITY 

OF 


V 


224 


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AN  INITIAL  FINE  OF  25  CENTS 

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